1
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Devi S, Biswas PK, Yokoyama K, Adroja DT, Yadav CS. Muon spin relaxation and emergence of disorder-induced unconventional dynamic magnetic fluctuations in Dy 2Zr 2O 7. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2024; 36:345802. [PMID: 38749470 DOI: 10.1088/1361-648x/ad4c44] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2024] [Accepted: 05/15/2024] [Indexed: 05/31/2024]
Abstract
The disordered pyrochlore oxide Dy2Zr2O7shows the signatures of field-induced spin freezing with remnant zero-point spin-ice entropy at 5 kOe magnetic field. We have performed zero-field and longitudinal field Muon spin relaxation (µSR) studies on Dy2Zr2O7. Our zero field studies reveal the absence of both long-range ordering and spin freezing down to 62 mK. TheµSR relaxation rate exhibits a temperature-independent plateau below 4 K, indicating a dynamic ground state of fluctuating spins similar to the well-known spin ice system Dy2Ti2O7. The low-temperature spin fluctuations persist in the longitudinal field of 20 kOe as well and show unusual field dependence of the relaxation rate, which is uncommon for a spin-liquid system. Our results, combined with the previous studies do not show any evidence of spin ice or spin glass ground state, rather point to a disorder-induced dynamic magnetic ground state in the Dy2Zr2O7material.
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Affiliation(s)
- Sheetal Devi
- School of Physical Sciences, Indian Institute of Technology Mandi, Mandi 175075, (H.P.), India
| | - Pabitra K Biswas
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - K Yokoyama
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - D T Adroja
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - C S Yadav
- School of Physical Sciences, Indian Institute of Technology Mandi, Mandi 175075, (H.P.), India
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2
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Roy N, Mahato PC, Saha S, Telling M, Lord JS, Adroja DT, Banerjee SS. Probing the strongly correlated magnetic state of Co 2C nanoparticles at low temperatures using μSR. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2023; 36:085603. [PMID: 37918015 DOI: 10.1088/1361-648x/ad08ec] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/23/2023] [Accepted: 11/01/2023] [Indexed: 11/04/2023]
Abstract
Co2C nanoparticles (NPs) are amongst transition metal carbides whose magnetic properties have not been well explored. An earlier study (Royet al2021J. Phys.: Condens. Matter33375804) showed that a pellet made from Co2C NPs exhibits exchange bias (EB) effect below a temperature,TEB= 50 K and a spin glass (SG) feature emerges belowTSG= 5 K. In the current study we use magnetic, electrical transport, specific heat, and muon spin rotation (μSR) measurements to explore further the magnetic properties of a pellet made with 40 nm diameter pure Co2C NPs. We uncover the onset of Kondo localization at Kondo temperatureTK(= 40.1 K), which is close to the onset temperature (TEB) of the EB effect. A crossover from the Kondo-screened scenario to the Ruderman-Kittel-Kasuya-Yosida interaction-dominated regime is also observed forT
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Affiliation(s)
- Nirmal Roy
- Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India
| | - P C Mahato
- Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India
| | - Suprotim Saha
- Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India
| | - M Telling
- ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot Oxon OX11 0QX, United Kingdom
| | - J S Lord
- ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot Oxon OX11 0QX, United Kingdom
| | - D T Adroja
- ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot Oxon OX11 0QX, United Kingdom
- Highly Correlated Matter Research Group, Physics Department, University of Johannesburg, PO Box 524, Auckland Park 2006, South Africa
| | - S S Banerjee
- Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India
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3
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Živković I, Favre V, Salazar Mejia C, Jeschke HO, Magrez A, Dabholkar B, Noculak V, Freitas RS, Jeong M, Hegde NG, Testa L, Babkevich P, Su Y, Manuel P, Luetkens H, Baines C, Baker PJ, Wosnitza J, Zaharko O, Iqbal Y, Reuther J, Rønnow HM. Magnetic Field Induced Quantum Spin Liquid in the Two Coupled Trillium Lattices of K_{2}Ni_{2}(SO_{4})_{3}. PHYSICAL REVIEW LETTERS 2021; 127:157204. [PMID: 34677991 DOI: 10.1103/physrevlett.127.157204] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2021] [Revised: 08/04/2021] [Accepted: 09/08/2021] [Indexed: 06/13/2023]
Abstract
Quantum spin liquids are exotic states of matter that form when strongly frustrated magnetic interactions induce a highly entangled quantum paramagnet far below the energy scale of the magnetic interactions. Three-dimensional cases are especially challenging due to the significant reduction of the influence of quantum fluctuations. Here, we report the magnetic characterization of K_{2}Ni_{2}(SO_{4})_{3} forming a three-dimensional network of Ni^{2+} spins. Using density functional theory calculations, we show that this network consists of two interconnected spin-1 trillium lattices. In the absence of a magnetic field, magnetization, specific heat, neutron scattering, and muon spin relaxation experiments demonstrate a highly correlated and dynamic state, coexisting with a peculiar, very small static component exhibiting a strongly renormalized moment. A magnetic field B≳4 T diminishes the ordered component and drives the system into a pure quantum spin liquid state. This shows that a system of interconnected S=1 trillium lattices exhibits a significantly elevated level of geometrical frustration.
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Affiliation(s)
- Ivica Živković
- Laboratory for Quantum Magnetism, Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Virgile Favre
- Laboratory for Quantum Magnetism, Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Catalina Salazar Mejia
- Hochfeld-Magnetlabor Dresden (HLD-EMFL) and Würzburg-Dresden Cluster of Excellence ct.qmat, Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany
| | - Harald O Jeschke
- Research Institute for Interdisciplinary Science, Okayama University, Okayama 700-8530, Japan
| | - Arnaud Magrez
- Crystal Growth Facility, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Bhupen Dabholkar
- Department of Physics and Quantum Centers in Diamond and Emerging Materials (QuCenDiEM) Group, Indian Institute of Technology Madras, Chennai 600036, India
| | - Vincent Noculak
- Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany
- Helmholtz-Zentrum für Materialien und Energie, Hahn-Meitner-Platz 1, 14109 Berlin, Germany
| | - Rafael S Freitas
- 7 Instituto de Física, Universidade de São Paulo, 05508-090 São Paulo, Brazil
| | - Minki Jeong
- School of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - Nagabhushan G Hegde
- Laboratory for Quantum Magnetism, Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Luc Testa
- Laboratory for Quantum Magnetism, Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Peter Babkevich
- Laboratory for Quantum Magnetism, Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - Yixi Su
- Jülich Centre for Neutron Science (JCNS) at Heinz Maier-Leibnitz Zentrum (MLZ), Forschungszentrum Jülich, Lichtenbergstrasse 1, D-85747 Garching, Germany
| | - Pascal Manuel
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - Hubertus Luetkens
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, CH-5232 Villigen, Switzerland
| | - Christopher Baines
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, CH-5232 Villigen, Switzerland
| | - Peter J Baker
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - Jochen Wosnitza
- Hochfeld-Magnetlabor Dresden (HLD-EMFL) and Würzburg-Dresden Cluster of Excellence ct.qmat, Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany
- Institut für Festkörper- und Materialphysik, TU Dresden, 01062 Dresden, Germany
| | - Oksana Zaharko
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, CH-5253 Villigen, Switzerland
| | - Yasir Iqbal
- Department of Physics and Quantum Centers in Diamond and Emerging Materials (QuCenDiEM) Group, Indian Institute of Technology Madras, Chennai 600036, India
| | - Johannes Reuther
- Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany
- Helmholtz-Zentrum für Materialien und Energie, Hahn-Meitner-Platz 1, 14109 Berlin, Germany
| | - Henrik M Rønnow
- Laboratory for Quantum Magnetism, Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
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4
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Kermarrec E, Kumar R, Bernard G, Hénaff R, Mendels P, Bert F, Paulose PL, Hazra BK, Koteswararao B. Classical Spin Liquid State in the S=5/2 Heisenberg Kagome Antiferromagnet Li_{9}Fe_{3}(P_{2}O_{7})_{3}(PO_{4})_{2}. PHYSICAL REVIEW LETTERS 2021; 127:157202. [PMID: 34678038 DOI: 10.1103/physrevlett.127.157202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/04/2021] [Revised: 07/14/2021] [Accepted: 09/16/2021] [Indexed: 06/13/2023]
Abstract
We investigate the low temperature magnetic properties of a S=5/2 Heisenberg kagome antiferromagnet, the layered monodiphosphate Li_{9}Fe_{3}(P_{2}O_{7})_{3}(PO_{4})_{2}, using magnetization measurements and ^{31}P nuclear magnetic resonance. An antiferromagnetic-type order sets in at T_{N}=1.3 K and a characteristic magnetization plateau is observed at 1/3 of the saturation magnetization below T^{*}∼5 K. A moderate ^{31}P NMR line broadening reveals the development of anisotropic short-range correlations concomitantly with a gapless spin-lattice relaxation time T_{1}∼k_{B}T/ℏS, which may point to the presence of a semiclassical nematic spin-liquid state predicted for the Heisenberg kagome antiferromagnetic model or to the persistence of the zero-energy modes of the kagome lattice under large magnetic fields.
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Affiliation(s)
- E Kermarrec
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - R Kumar
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - G Bernard
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - R Hénaff
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - P Mendels
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - F Bert
- Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France
| | - P L Paulose
- Department of Condensed Matter Physics and Materials Science, TIFR, Mumbai 400 005, India
| | - B K Hazra
- School of Physics, University of Hyderabad, Hyderabad 500046, India
| | - B Koteswararao
- Department of Physics, Indian Institute of Technology Tirupati, Tirupati 517506, India
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5
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Liu X, Singh S, Drouin-Touchette V, Asaba T, Brewer J, Zhang Q, Cao Y, Pal B, Middey S, Kumar PSA, Kareev M, Gu L, Sarma DD, Shafer P, Arenholz E, Freeland JW, Li L, Vanderbilt D, Chakhalian J. Proximate Quantum Spin Liquid on Designer Lattice. NANO LETTERS 2021; 21:2010-2017. [PMID: 33617255 DOI: 10.1021/acs.nanolett.0c04498] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Complementary to bulk synthesis, here we propose a designer lattice with extremely high magnetic frustration and demonstrate the possible realization of a quantum spin liquid state from both experiments and theoretical calculations. In an ultrathin (111) CoCr2O4 slice composed of three triangular and one kagome cation planes, the absence of a spin ordering or freezing transition is demonstrated down to 0.03 K, in the presence of strong antiferromagnetic correlations in the energy scale of 30 K between Co and Cr sublattices, leading to the frustration factor of ∼1000. Persisting spin fluctuations are observed at low temperatures via low-energy muon spin relaxation. Our calculations further demonstrate the emergence of highly degenerate magnetic ground states at the 0 K limit, due to the competition among multiply altered exchange interactions. These results collectively indicate the realization of a proximate quantum spin liquid state on the synthetic lattice.
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Affiliation(s)
- Xiaoran Liu
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, United States
| | - Sobhit Singh
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, United States
| | - Victor Drouin-Touchette
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, United States
| | - Tomoya Asaba
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, United States
| | - Jess Brewer
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada V6T 2A3
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
| | - Qinghua Zhang
- Beijing National Laboratory for Condensed-Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P.R. China
| | - Yanwei Cao
- Ningbo Institute of Materials Technology and Engineering, Chinese Academy of Sciences, Ningbo, Zhejiang 315201, China
| | - Banabir Pal
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, United States
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bengaluru 560012, India
| | - Srimanta Middey
- Department of Physics, Indian Institute of Science, Bengaluru 560012, India
| | - P S Anil Kumar
- Department of Physics, Indian Institute of Science, Bengaluru 560012, India
| | - Mikhail Kareev
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, United States
| | - Lin Gu
- Beijing National Laboratory for Condensed-Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P.R. China
| | - D D Sarma
- Solid State and Structural Chemistry Unit, Indian Institute of Science, Bengaluru 560012, India
| | - Padraic Shafer
- Advanced Light Source, Lawrence Berkley National Laboratory, Berkeley, California 94720, United States
| | - Elke Arenholz
- Advanced Light Source, Lawrence Berkley National Laboratory, Berkeley, California 94720, United States
| | - John W Freeland
- Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, United States
| | - Lu Li
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, United States
| | - David Vanderbilt
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, United States
| | - Jak Chakhalian
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, United States
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6
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Indra A, Dey K, Bhattacharyya A, Berlie A, Giri S. Unveiling spin-glass transition and antiferromagnetic order by μSR studies in spin-chain Sm 2BaNiO 5. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2019; 31:165801. [PMID: 30681979 DOI: 10.1088/1361-648x/ab01e6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
We report the zero-field and longitudinal field muon spin relaxation studies in a spin-chain compound Sm2BaNiO5. Two magnetic transitions, that have not been previously detected by the heat capacity and magnetization measurements, are confirmed at 46 and 9 K. The antiferromagnetic order is suggested at 46 K. Analysis of the muon spin polarization unveils the spin-glass transition at 9 K. Time-field scaling relation of the muon spin polarization verifies the spin-spin autocorrelation function following the cut-off power law, which is approximated by the Ogielski form, as employed numerically for characterizing the spin-glasses.
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Affiliation(s)
- A Indra
- School of Physical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India. Department of Physics, Srikrishna College, Bagula, Nadia, W. B., 741502, India
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7
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Cai Y, Wilson MN, Hallas AM, Liu L, Frandsen BA, Dunsiger SR, Krizan JW, Cava RJ, Rubel O, Uemura YJ, Luke GM. μSR study of spin freezing and persistent spin dynamics in NaCaNi 2F 7. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:385802. [PMID: 30089706 DOI: 10.1088/1361-648x/aad91c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
A new pyrochlore compound, NaCaNi2F7, was recently synthesized and has a single magnetic site with spin-1 Ni2+ . We present zero field and longitudinal field muon spin rotation (μSR) measurements on this pyrochlore. Density functional theory calculations show that the most likely muon site is located between two fluorine ions, but off-centre. A characteristic F-μ-F muon spin polarization function is observed at high temperatures where Ni spin fluctuations are sufficiently rapid. The Ni2+ spins undergo spin freezing into a disordered ground state below 4 K, with a characteristic internal field strength of 140 G. Persistent Ni spin dynamics are present to our lowest temperatures (75 mK), a feature characteristic of many geometrically frustrated magnetic systems.
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Affiliation(s)
- Y Cai
- Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada
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8
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Mustonen O, Vasala S, Sadrollahi E, Schmidt KP, Baines C, Walker HC, Terasaki I, Litterst FJ, Baggio-Saitovitch E, Karppinen M. Spin-liquid-like state in a spin-1/2 square-lattice antiferromagnet perovskite induced by d 10-d 0 cation mixing. Nat Commun 2018. [PMID: 29540711 PMCID: PMC5852160 DOI: 10.1038/s41467-018-03435-1] [Citation(s) in RCA: 27] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022] Open
Abstract
A quantum spin liquid state has long been predicted to arise in spin-1/2 Heisenberg square-lattice antiferromagnets at the boundary region between Néel (nearest-neighbor interaction dominates) and columnar (next-nearest-neighbor interaction dominates) antiferromagnetic order. However, there are no known compounds in this region. Here we use d10-d0 cation mixing to tune the magnetic interactions on the square lattice while simultaneously introducing disorder. We find spin-liquid-like behavior in the double perovskite Sr2Cu(Te0.5W0.5)O6, where the isostructural end phases Sr2CuTeO6 and Sr2CuWO6 are Néel and columnar type antiferromagnets, respectively. We show that magnetism in Sr2Cu(Te0.5W0.5)O6 is entirely dynamic down to 19 mK. Additionally, we observe at low temperatures for Sr2Cu(Te0.5W0.5)O6-similar to several spin liquid candidates-a plateau in muon spin relaxation rate and a strong T-linear dependence in specific heat. Our observations for Sr2Cu(Te0.5W0.5)O6 highlight the role of disorder in addition to magnetic frustration in spin liquid physics.
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Affiliation(s)
- O Mustonen
- Department of Chemistry and Materials Science, Aalto University, FI-00076, Espoo, Finland
| | - S Vasala
- Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr Xavier Sigaud 150, Urca, Rio de Janeiro, 22290-180, Brazil
| | - E Sadrollahi
- Institut für Physik der Kondensierten Materie, Technische Universität Braunschweig, 38110, Braunschweig, Germany
| | - K P Schmidt
- Institut für Physik der Kondensierten Materie, Technische Universität Braunschweig, 38110, Braunschweig, Germany
| | - C Baines
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institut, 5232, Villigen PSI, Switzerland
| | - H C Walker
- ISIS Neutron and Muon Source, Rutherford Appleton Laboratory, Chilton, Didcot, OX11 0QX, UK
| | - I Terasaki
- Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
| | - F J Litterst
- Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr Xavier Sigaud 150, Urca, Rio de Janeiro, 22290-180, Brazil.,Institut für Physik der Kondensierten Materie, Technische Universität Braunschweig, 38110, Braunschweig, Germany
| | - E Baggio-Saitovitch
- Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr Xavier Sigaud 150, Urca, Rio de Janeiro, 22290-180, Brazil
| | - M Karppinen
- Department of Chemistry and Materials Science, Aalto University, FI-00076, Espoo, Finland.
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9
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Liu T, Li W, Su G. Spin-ordered ground state and thermodynamic behaviors of the spin-3/2 kagome Heisenberg antiferromagnet. Phys Rev E 2016; 94:032114. [PMID: 27739841 DOI: 10.1103/physreve.94.032114] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2016] [Indexed: 06/06/2023]
Abstract
Three different tensor network (TN) optimization algorithms are employed to accurately determine the ground state and thermodynamic properties of the spin-3/2 kagome Heisenberg antiferromagnet. We found that the sqrt[3]×sqrt[3] state (i.e., the state with 120^{∘} spin configuration within a unit cell containing 9 sites) is the ground state of this system, and such an ordered state is melted at any finite temperature, thereby clarifying the existing experimental controversies. Three magnetization plateaus (m/m_{s}=1/3,23/27, and 25/27) were obtained, where the 1/3-magnetization plateau has been observed experimentally. The absence of a zero-magnetization plateau indicates a gapless spin excitation that is further supported by the thermodynamic asymptotic behaviors of the susceptibility and specific heat. At low temperatures, the specific heat is shown to exhibit a T^{2} behavior, and the susceptibility approaches a finite constant as T→0. Our TN results of thermodynamic properties are compared with those from high-temperature series expansion. In addition, we disclose a quantum phase transition between q=0 state (i.e., the state with 120^{∘} spin configuration within a unit cell containing three sites) and sqrt[3]×sqrt[3] state in a spin-3/2 kagome XXZ model at the critical point Δ_{c}=0.54. This study provides reliable and useful information for further explorations on high-spin kagome physics.
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Affiliation(s)
- Tao Liu
- Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, School of Physics, University of Chinese Academy of Sciences, P.O. Box 4588, Beijing 100049, China
| | - Wei Li
- Department of Physics, Key Laboratory of Micro-Nano Measurement-Manipulation and Physics (Ministry of Education), Beihang University, Beijing 100191, China
- International Research Institute of Multidisciplinary Science, Beihang University, Beijing 100191, China
| | - Gang Su
- Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, School of Physics, University of Chinese Academy of Sciences, P.O. Box 4588, Beijing 100049, China
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10
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Li Y, Adroja D, Biswas PK, Baker PJ, Zhang Q, Liu J, Tsirlin AA, Gegenwart P, Zhang Q. Muon Spin Relaxation Evidence for the U(1) Quantum Spin-Liquid Ground State in the Triangular Antiferromagnet YbMgGaO_{4}. PHYSICAL REVIEW LETTERS 2016; 117:097201. [PMID: 27610879 DOI: 10.1103/physrevlett.117.097201] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/05/2016] [Indexed: 06/06/2023]
Abstract
Muon spin relaxation (μSR) experiments on single crystals of the structurally perfect triangular antiferromagnet YbMgGaO_{4} indicate the absence of both static long-range magnetic order and spin freezing down to 0.048 K in a zero field. Below 0.4 K, the μ^{+} spin relaxation rates, which are proportional to the dynamic correlation function of the Yb^{3+} spins, exhibit temperature-independent plateaus. All these μSR results unequivocally support the formation of a gapless U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO_{4}.
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Affiliation(s)
- Yuesheng Li
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
- Experimental Physics VI, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Devashibhai Adroja
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
- Highly Correlated Matter Research Group, Physics Department, University of Johannesburg, P.O. Box 524, Auckland Park 2006, South Africa
| | - Pabitra K Biswas
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - Peter J Baker
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - Qian Zhang
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
| | - Juanjuan Liu
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
| | - Alexander A Tsirlin
- Experimental Physics VI, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Philipp Gegenwart
- Experimental Physics VI, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Qingming Zhang
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, People's Republic of China
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11
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Khuntia P, Bert F, Mendels P, Koteswararao B, Mahajan AV, Baenitz M, Chou FC, Baines C, Amato A, Furukawa Y. Spin Liquid State in the 3D Frustrated Antiferromagnet PbCuTe_{2}O_{6}: NMR and Muon Spin Relaxation Studies. PHYSICAL REVIEW LETTERS 2016; 116:107203. [PMID: 27015508 DOI: 10.1103/physrevlett.116.107203] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/10/2015] [Indexed: 06/05/2023]
Abstract
PbCuTe_{2}O_{6} is a rare example of a spin liquid candidate featuring a three-dimensional magnetic lattice. Strong geometric frustration arises from the dominant antiferromagnetic interaction that generates a hyperkagome network of Cu^{2+} ions although additional interactions enhance the magnetic lattice connectivity. Through a combination of magnetization measurements and local probe investigations by NMR and muon spin relaxation down to 20 mK, we provide robust evidence for the absence of magnetic freezing in the ground state. The local spin susceptibility probed by the NMR shift hardly deviates from the macroscopic one down to 1 K pointing to a homogeneous magnetic system with a low defect concentration. The saturation of the NMR shift and the sublinear power law temperature (T) evolution of the 1/T_{1} NMR relaxation rate at low T point to a nonsinglet ground state favoring a gapless fermionic description of the magnetic excitations. Below 1 K a pronounced slowing down of the spin dynamics is witnessed, which may signal a reconstruction of spinon Fermi surface. Nonetheless, the compound remains in a fluctuating spin liquid state down to the lowest temperature of the present investigation.
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Affiliation(s)
- P Khuntia
- Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Laboratoire de Physique des Solides, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay Cedex, France
| | - F Bert
- Laboratoire de Physique des Solides, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay Cedex, France
| | - P Mendels
- Laboratoire de Physique des Solides, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay Cedex, France
| | - B Koteswararao
- School of Physics, University of Hyderabad, Central University PO, Hyderabad 500046, India
- Center of Condensed Matter Sciences, National Taiwan University, Taipei 10617, Taiwan
| | - A V Mahajan
- Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai-400076, India
| | - M Baenitz
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - F C Chou
- Center of Condensed Matter Sciences, National Taiwan University, Taipei 10617, Taiwan
| | - C Baines
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
| | - A Amato
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
| | - Y Furukawa
- Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
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12
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Dally R, Hogan T, Amato A, Luetkens H, Baines C, Rodriguez-Rivera J, Graf MJ, Wilson SD. Short-range correlations in the magnetic ground state of Na₄Ir₃O₈. PHYSICAL REVIEW LETTERS 2014; 113:247601. [PMID: 25541804 DOI: 10.1103/physrevlett.113.247601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2014] [Indexed: 06/04/2023]
Abstract
The magnetic ground state of the J(eff)=1/2 hyperkagome lattice in Na₄Ir₃O₈ is explored via combined bulk magnetization, muon spin relaxation, and neutron scattering measurements. A short-range, frozen state comprised of quasistatic moments develops below a characteristic temperature of T(F)=6 K, revealing an inhomogeneous distribution of spins occupying the entirety of the sample volume. Quasistatic, short-range spin correlations persist until at least 20 mK and differ substantially from the nominally dynamic response of a quantum spin liquid. Our data demonstrate that an inhomogeneous magnetic ground state arises in Na₄Ir₃O₈ driven either by disorder inherent to the creation of the hyperkagome lattice itself or stabilized via quantum fluctuations.
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Affiliation(s)
- Rebecca Dally
- Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467, USA
| | - Tom Hogan
- Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467, USA
| | - Alex Amato
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - Hubertus Luetkens
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - Chris Baines
- Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - Jose Rodriguez-Rivera
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - Michael J Graf
- Department of Physics, Boston College, Chestnut Hill, Massachusetts 02467, USA
| | - Stephen D Wilson
- Department of Materials, University of California, Santa Barbara, California 93106, USA
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13
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Guo H, Xing H, Tong J, Tao Q, Watanabe I, Xu ZA. Possible spin frustration in Nd2Ti2O7 probed by muon spin relaxation. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:436002. [PMID: 25299956 DOI: 10.1088/0953-8984/26/43/436002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Muon spin relaxation on Nd2Ti2O7 (NTO) and NdLaTi2O7 (NLTO) compounds are presented. The time spectra for both compounds are as expected for the paramagnetic state at high temperatures, but deviate from the exponential function below around 100 K. Firstly, the muon spin relaxation rate increases with decreasing temperature and then levels off below around 10 K, which is reminiscent of the frustrated systems. An enhancement of the relaxation rate by a longitudinal field in the paramagnetic state is observed for NTO and eliminated by a magnetic dilution for the NLTO sample. This suggests that the spectral density is modified by a magnetic dilution and thus indicates that the spins behave cooperatively rather than individually. The zero-field measurement at 0.3 K indicates that the magnetic ground state for NTO is ferromagnetic.
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Affiliation(s)
- Hanjie Guo
- Department of Physics and State Key Laboratory of Silicon Materials, Zhejiang University, Hangzhou 310027, People's Republic of China
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14
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Pregelj M, Zorko A, Zaharko O, Arčon D, Komelj M, Hillier AD, Berger H. Persistent spin dynamics intrinsic to amplitude-modulated long-range magnetic order. PHYSICAL REVIEW LETTERS 2012; 109:227202. [PMID: 23368156 DOI: 10.1103/physrevlett.109.227202] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/21/2012] [Indexed: 06/01/2023]
Abstract
An incommensurate elliptical helical magnetic structure in the frustrated coupled-spin-chain system FeTe(2)O(5)Br is surprisingly found to persist down to 53(3) mK (T/T(N)~1/200), according to neutron scattering and muon spin relaxation. In this state, finite spin fluctuations at T→0 are evidenced by muon depolarization, which is in agreement with specific-heat data indicating the presence of both gapless and gapped excitations. We thus show that the amplitude-modulated magnetic order intrinsically accommodates contradictory persistent spin dynamics and long-range order and can serve as a model structure to investigate their coexistence.
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Affiliation(s)
- M Pregelj
- Jožef Stefan Institute, Jamova cesta 39, 1000 Ljubljana, Slovenia
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15
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Quémerais P, McClarty P, Moessner R. Possible quantum diffusion of polaronic muons in Dy(2)Ti(2)O(7) spin ice. PHYSICAL REVIEW LETTERS 2012; 109:127601. [PMID: 23005986 DOI: 10.1103/physrevlett.109.127601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/13/2012] [Indexed: 06/01/2023]
Abstract
We interpret recent measurements of the zero field muon relaxation rate in the magnetic pyrochlore Dy(2)Ti(2)O(7) as resulting from the quantum diffusion of muons in the material. In this scenario, the plateau observed at low temperature (< 7 K) in the relaxation rate is due to coherent tunneling of muons through a spatially disordered spin state and not to any magnetic fluctuations persisting at low temperature. Two further regimes either side of a maximum relaxation rate at T* = 50 K correspond to a crossover between tunneling and incoherent activated hopping motion of the muon. Our fit of the experimental data is compared with the case of muonium diffusion in KCl.
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Affiliation(s)
- P Quémerais
- Max-Planck-Institut for the Physics of Complex Systems, Dresden, Germany
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16
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Dunsiger SR, Aczel AA, Arguello C, Dabkowska H, Dabkowski A, Du MH, Goko T, Javanparast B, Lin T, Ning FL, Noad HML, Singh DJ, Williams TJ, Uemura YJ, Gingras MJP, Luke GM. Spin ice: magnetic excitations without monopole signatures using muon spin rotation. PHYSICAL REVIEW LETTERS 2011; 107:207207. [PMID: 22181768 DOI: 10.1103/physrevlett.107.207207] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/04/2011] [Indexed: 05/31/2023]
Abstract
Theory predicts the low temperature magnetic excitations in spin ices consist of deconfined magnetic charges, or monopoles. A recent transverse-field (TF) muon spin rotation (μSR) experiment [S. T. Bramwell et al., Nature (London) 461, 956 (2009)] reports results claiming to be consistent with the temperature and magnetic field dependence anticipated for monopole nucleation-the so-called second Wien effect. We demonstrate via a new series of μSR experiments in Dy(2)Ti(2)O(7) that such an effect is not observable in a TF μSR experiment. Rather, as found in many highly frustrated magnetic materials, we observe spin fluctuations which become temperature independent at low temperatures, behavior which dominates over any possible signature of thermally nucleated monopole excitations.
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Affiliation(s)
- S R Dunsiger
- Physik Department, Technische Universität München, Garching, Germany.
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17
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McClarty PA, Cosman JN, Del Maestro AG, Gingras MJP. Calculation of the expected zero-field muon relaxation rate in the geometrically frustrated rare earth pyrochlore Gd(2)Sn(2)O(7) antiferromagnet. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2011; 23:164216. [PMID: 21471617 DOI: 10.1088/0953-8984/23/16/164216] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The magnetic insulator Gd(2)Sn(2)O(7) is one of many geometrically frustrated magnetic materials known to exhibit a nonzero muon spin polarization relaxation rate, λ(T), down to the lowest temperature (T) studied. Such behaviour is typically interpreted as signalling the presence of persistent spin dynamics (PSD) of the host material. In the case of Gd(2)Sn(2)O(7), such PSD comes as a surprise since magnetic specific heat measurements suggest conventional gapped magnons, which would naively lead to an exponentially vanishing λ(T) as T → 0. In contrast to most materials that display PSD, the ordered phase of Gd(2)Sn(2)O(7) is well characterized and both the nature and the magnitude of the interactions have been inferred from the magnetic structure and the temperature dependence of the magnetic specific heat. Based on this understanding, the temperature dependence of the muon spin polarization relaxation through the scattering of spin waves (magnons) is calculated. The result explicitly shows that, despite the unusual extensive number of weakly dispersive (gapped) excitations characterizing Gd(2)Sn(2)O(7), a remnant of the zero modes of the parent frustrated pyrochlore Heisenberg antiferromagnet, the temperature dependence of the calculated λ(T) differs dramatically from the experimental one. Indeed, the calculation conforms to the naive expectation of an exponential collapse of λ(T) at temperatures below ∼ 0.7 K. This result, for the first time, illustrates crisply and quantitatively the paradox that presents itself with the pervasive occurrence of PSD in highly frustrated magnetic systems as evinced by muon spin relaxation measurements.
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Affiliation(s)
- P A McClarty
- Department of Physics and Astronomy, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
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18
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Sen A, Damle K, Moessner R. Fractional spin textures in the frustrated magnet SrCr(9p)Ga(12-9p)O₁₉. PHYSICAL REVIEW LETTERS 2011; 106:127203. [PMID: 21517349 DOI: 10.1103/physrevlett.106.127203] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2010] [Revised: 09/29/2010] [Indexed: 05/30/2023]
Abstract
We consider the archetypal frustrated antiferromagnet SrCr(9p)Ga(12-9p)O₁₉ in its well-known spin-liquid state, and demonstrate that a Cr(3+) spin S=3/2 ion in direct proximity to a pair of vacancies (in disordered p<1 samples) is cloaked by a spatially extended spin texture that encodes the correlations of the parent spin liquid. In this spin-liquid regime, our analytic theory predicts that the combined object has a magnetic response identical to a classical spin of length S/2=3/4, which dominates over the small intrinsic susceptibility of the pure system. This fractional-spin texture leaves an unmistakable imprint on the measured ⁷¹Ga nuclear magnetic resonance line shapes, which we compute using Monte Carlo simulations and compare with experimental data.
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Affiliation(s)
- Arnab Sen
- Tata Institute of Fundamental Research, 1, Homi Bhabha Road, Mumbai 400005, India
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19
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Lhuillier C, Misguich G. Introduction to Quantum Spin Liquids. INTRODUCTION TO FRUSTRATED MAGNETISM 2011. [DOI: 10.1007/978-3-642-10589-0_2] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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20
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21
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Kagomé Antiferromagnets: Materials Vs. Spin Liquid Behaviors. INTRODUCTION TO FRUSTRATED MAGNETISM 2011. [DOI: 10.1007/978-3-642-10589-0_9] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
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22
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Zorko A, Bert F, Mendels P, Bordet P, Lejay P, Robert J. Easy-axis kagome antiferromagnet: local-probe study of Nd3Ga5SiO14. PHYSICAL REVIEW LETTERS 2008; 100:147201. [PMID: 18518066 DOI: 10.1103/physrevlett.100.147201] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/14/2007] [Revised: 02/01/2008] [Indexed: 05/26/2023]
Abstract
We report a local-probe investigation of the magnetically anisotropic kagome compound Nd3Ga5SiO14. Our zero-field muon spin relaxation (muSR) results provide direct evidence of a fluctuating collective paramagnetic state down to 60 mK, supported by a wipeout of the Ga nuclear magnetic resonance (NMR) signal below 25 K. At 60 mK a dynamics crossover to a much more static state is observed by muSR in magnetic fields above 0.5 T. Accordingly, the NMR signal is recovered at low T above a threshold field, revealing a rapid temperature and field variation of the magnetic fluctuations.
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Affiliation(s)
- A Zorko
- Laboratoire de Physique des Solides, Université Paris-Sud 11, UMR CNRS 8502, 91405 Orsay, France
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23
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Mendels P, Bert F, de Vries MA, Olariu A, Harrison A, Duc F, Trombe JC, Lord JS, Amato A, Baines C. Quantum magnetism in the paratacamite family: towards an ideal kagomé lattice. PHYSICAL REVIEW LETTERS 2007; 98:077204. [PMID: 17359056 DOI: 10.1103/physrevlett.98.077204] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/19/2006] [Indexed: 05/14/2023]
Abstract
We report muon spin rotation measurements on the S=1/2 (Cu2+) paratacamite ZnxCu4-x(OH)6Cl2 family. Despite a Weiss temperature of approximately -300 K, the x=1 compound is found to have no transition to a magnetic frozen state down to 50 mK as theoretically expected for the kagomé Heisenberg antiferromagnet. We find that the limit between a dynamical and a partly frozen ground state occurs around x=0.5. For x=1, we discuss the relevance to a singlet picture.
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Affiliation(s)
- P Mendels
- Laboratoire de Physique des Solides, UMR CNRS 8502, Université Paris-Sud, 91405 Orsay, France
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24
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Bert F, Mendels P, Olariu A, Blanchard N, Collin G, Amato A, Baines C, Hillier AD. Direct evidence for a dynamical ground state in the highly frustrated Tb(2)Sn(2)O(7) pyrochlore. PHYSICAL REVIEW LETTERS 2006; 97:117203. [PMID: 17025926 DOI: 10.1103/physrevlett.97.117203] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2006] [Indexed: 05/12/2023]
Abstract
mSR experiments have been performed on a powder sample of the "ordered spin ice" Tb(2)Sn(2)O(7) pyrochlore. At base temperature (T=35 mK), the muon relaxation is found to be of dynamical nature, which demonstrates that strong fluctuations persist below the ferromagnetic transition (T(C)=0.87 K). Hints of long-range ordering appear as oscillations of the muon polarization when an external field is applied and also as a hysteretic behavior below T(C). We propose that dynamics results from fluctuations of clusters of correlated spins with the ordered spin ice structure.
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Affiliation(s)
- F Bert
- Laboratoire de Physique des Solides, UMR 8502, Université Paris-Sud, 91405 Orsay, France
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25
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Bert F, Bono D, Mendels P, Ladieu F, Duc F, Trombe JC, Millet P. Ground state of the kagomé-like S=1/2 antiferromagnet volborthite Cu3V2O7(OH)2 x 2H2O. PHYSICAL REVIEW LETTERS 2005; 95:087203. [PMID: 16196896 DOI: 10.1103/physrevlett.95.087203] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/25/2005] [Indexed: 05/04/2023]
Abstract
The volborthite compound is one of the very few realizations of S=1/2 quantum spins on a highly frustrated kagomé-like lattice. Low-T SQUID measurements reveal a broad magnetic transition below 2 K which is further confirmed by a peak in the 51V nuclear spin relaxation rate (1/T1) at 1.4 K +/- 0.2 K. Through 51V NMR, the ground state (GS) appears to be a mixture of different spin configurations, among which 20% corresponds to a well defined short-range order, possibly of the sqrt(3) x sqrt(3) type. While the freezing involves all the Cu2+ spins, only 40% of the copper moment is actually frozen which suggests that quantum fluctuations strongly renormalize the GS.
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Affiliation(s)
- F Bert
- Laboratoire de Physique des Solides, UMR 8502, Université Paris-Sud, 91405 Orsay, France
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26
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Zheng XG, Kubozono H, Nishiyama K, Higemoto W, Kawae T, Koda A, Xu CN. Coexistence of long-range order and spin fluctuation in geometrically frustrated clinoatacamite Cu2Cl(OH)3. PHYSICAL REVIEW LETTERS 2005; 95:057201. [PMID: 16090912 DOI: 10.1103/physrevlett.95.057201] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/16/2004] [Revised: 05/01/2005] [Indexed: 05/03/2023]
Abstract
Muon spin rotation experiments are carried out on clinoatacamite, Cu2Cl(OH)3, which is a new geometrically frustrated system featuring a three-dimensional network of corner-sharing tetrahedral 3d Cu2+ spins. A long-range antiferromagnetic order occurs below 18.1 K with a surprisingly small entropy release of about 0.05Rln2/Cu. Below 6.5 K, the static long-range order transforms abruptly into a metastable state with nearly complete depolarization of muon spins which suggests strong fluctuation. The system then enters a state in which partial long-range order and spin fluctuation coexist down to the lowest experimentally attainable temperature of 20 mK. This work presents a novel system for studying geometric frustration.
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Affiliation(s)
- X G Zheng
- Department of Physics, Faculty of Science and Engineering, Saga University, Saga 840-8502, Japan.
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27
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Yaouanc A, de Réotier PD, Glazkov V, Marin C, Bonville P, Hodges JA, Gubbens PCM, Sakarya S, Baines C. Magnetic density of states at low energy in geometrically frustrated systems. PHYSICAL REVIEW LETTERS 2005; 95:047203. [PMID: 16090837 DOI: 10.1103/physrevlett.95.047203] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/04/2005] [Indexed: 05/03/2023]
Abstract
Using muon-spin-relaxation measurements we show that the pyrochlore compound Gd(2)Ti(2)O(7), in its magnetically ordered phase below approximately 1 K, displays persistent spin dynamics down to temperatures as low as 20 mK. The characteristics of the induced muon relaxation can be accounted for by a scattering process involving two magnetic excitations, with a density of states characterized by an upturn at low energy and a small gap depending linearly on the temperature. We propose that such a density of states is a generic feature of geometrically frustrated magnetic materials.
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Affiliation(s)
- A Yaouanc
- CEA/DSM/Département de Recherche Fondamentale sur la Matière Condensée, Grenoble, France
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28
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Arrachea L, Rozenberg MJ. Quantum magnets with anisotropic infinite range random interactions. Biophys Chem 2005; 115:135-8. [PMID: 15752595 DOI: 10.1016/j.bpc.2004.12.018] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2004] [Revised: 11/22/2004] [Accepted: 12/10/2004] [Indexed: 10/26/2022]
Abstract
Using exact diagonalization techniques, we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be considered as a generalization, to the quantum case, of the well-known Sherrington-Kirkpatrick classical spin glass model. We also compute and study the behavior of the Edwards Anderson order parameter and energy per spin as the anisotropy evolves from the Ising to the Heisenberg limits.
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Affiliation(s)
- Liliana Arrachea
- Departamento de Física, FCEN, Universidad de Buenos Aires, Ciudad Universitaria Pab.1, 1428 Buenos Aires, Argentina.
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29
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Bono D, Mendels P, Collin G, Blanchard N, Bert F, Amato A, Baines C, Hillier AD. muSR study of the quantum dynamics in the frustrated S=3/2 kagomé bilayers. PHYSICAL REVIEW LETTERS 2004; 93:187201. [PMID: 15525201 DOI: 10.1103/physrevlett.93.187201] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/21/2004] [Indexed: 05/24/2023]
Abstract
We present muSR experiments in the S=3/2 kagomé bilayer compound Ba(2)Sn(2)ZnGa(10-7p)Cr(7p)O22 [BSZCGO(p)] and compare it to the isostructural SrCr(9p)Ga(12-9p)O19 [SCGO(p)], including for the latter new results for p > or =0.89. Quantum-dynamical low energy magnetic excitations are evidenced in this novel compound. We study the evolution of the muon relaxation rate with p, T, and field. A phenomenological model for the muon relaxation based on sporadic dynamics due to spin excitations in a singlet sea proposed by Uemura et al. is extended to all fields and T range. Its connection to the RVB picture is discussed, and we argue that such coherent states might mediate the interactions between "impurities" which induce the spin glass freezing.
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Affiliation(s)
- D Bono
- Laboratoire de Physique des Solides, UMR 8502, Université Paris-Sud, 91405 Orsay, France
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30
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Keren A, Gardner JS, Ehlers G, Fukaya A, Segal E, Uemura YJ. Dynamic properties of a diluted pyrochlore cooperative paramagnet (Tb(p)Y(1-p))2Ti2O7. PHYSICAL REVIEW LETTERS 2004; 92:107204. [PMID: 15089239 DOI: 10.1103/physrevlett.92.107204] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2003] [Indexed: 05/24/2023]
Abstract
Investigations of the spin dynamics of the geometrically frustrated pyrochlore (Tb(p)Y(1-p))2Ti2O7, using muon spin relaxation and neutron spin echo, as a function of magnetic coverage p, have been carried out. Our major finding is that paramagnetic fluctuations prevail as T-->0 for all values of p, and that they are sensitive to dilution, indicating a cooperative spin motion. However, the percolation threshold pc is not a critical point for the fluctuations. We also find that the low temperature spectral density has a 1/f behavior, and that dilution slows down the spin fluctuations.
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Affiliation(s)
- A Keren
- Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel
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31
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Fukaya A, Fudamoto Y, Gat IM, Ito T, Larkin MI, Savici AT, Uemura YJ, Kyriakou PP, Luke GM, Rovers MT, Kojima KM, Keren A, Hanawa M, Hiroi Z. Muon spin relaxation and susceptibility studies of the pure and diluted spin 1/2 kagomé-like lattice system (CuxZn(1-x))3V2O7(OH2) 2H2O. PHYSICAL REVIEW LETTERS 2003; 91:207603. [PMID: 14683396 DOI: 10.1103/physrevlett.91.207603] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2003] [Indexed: 05/24/2023]
Abstract
Muon spin relaxation and magnetic susceptibility measurements have been performed on the pure and diluted spin 1/2 kagomé system (CuxZn(1-x))3V2O7(OH)2 2H2O. In the pure x=1 system we found a slowing down of Cu spin fluctuations with decreasing temperature towards T approximately 1 K, followed by slow and nearly temperature-independent spin fluctuations persisting down to T=50 mK, indicative of quantum fluctuations. No indication of static spin freezing was detected in either of the pure (x=1.0) or diluted samples. The observed magnitude of fluctuating fields indicates that the slow spin fluctuations represent an intrinsic property of kagomé network rather than impurity spins.
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Affiliation(s)
- A Fukaya
- Physics Department, Columbia University, 538 West 120th Street, New York, New York 10027, USA
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Fujimoto S. Geometrical-frustration-induced (Semi)metal-to-insulator transition. PHYSICAL REVIEW LETTERS 2002; 89:226402. [PMID: 12485086 DOI: 10.1103/physrevlett.89.226402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2002] [Indexed: 05/24/2023]
Abstract
We study the low-energy properties of the geometrically frustrated Hubbard model on a three-dimensional pyrochlore lattice and a two-dimensional checkerboard lattice on the basis of the renormalization group method and mean field analysis. It is found that, in the half-filling case, a (semi)metal to insulator transition (MIT) occurs. Also, in the insulating phase, which has a spin gap, the spin rotational symmetry is not broken, while charge ordering exists. The results are applied to the description of the MIT observed in the pyrochlore system Tl2Ru2O7.
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Lee SH, Broholm C, Ratcliff W, Gasparovic G, Huang Q, Kim TH, Cheong SW. Emergent excitations in a geometrically frustrated magnet. Nature 2002; 418:856-8. [PMID: 12192404 DOI: 10.1038/nature00964] [Citation(s) in RCA: 419] [Impact Index Per Article: 19.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Frustrated systems are ubiquitous, and they are interesting because their behaviour is difficult to predict; frustration can lead to macroscopic degeneracies and qualitatively new states of matter. Magnetic systems offer good examples in the form of spin lattices, where all interactions between spins cannot be simultaneously satisfied. Here we report how unusual composite spin degrees of freedom can emerge from frustrated magnetic interactions in the cubic spinel ZnCr(2)O(4). Upon cooling, groups of six spins self-organize into weakly interacting antiferromagnetic loops, whose directors -- the unique direction along which the spins are aligned, parallel or antiparallel -- govern all low-temperature dynamics. The experimental evidence comes from a measurement of the magnetic form factor by inelastic neutron scattering; the data show that neutrons scatter from hexagonal spin clusters rather than individual spins. The hexagon directors are, to a first approximation, decoupled from each other, and hence their reorientations embody the long-sought local zero energy modes for the pyrochlore lattice.
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Affiliation(s)
- S-H Lee
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.
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Starykh OA, Singh RRP, Levine GC. Spinons in a crossed-chains model of a 2D spin liquid. PHYSICAL REVIEW LETTERS 2002; 88:167203. [PMID: 11955258 DOI: 10.1103/physrevlett.88.167203] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/2001] [Indexed: 05/23/2023]
Abstract
Using the random phase approximation, we show that a crossed-chains model of spin-1/2 Heisenberg chains with frustrated interchain couplings has a nondimerized spin-liquid ground state in 2D, with deconfined spinons as the elementary excitations. The results are confirmed by a bosonization study, which shows that the system is an example of a "sliding Luttinger liquid." In an external field, the system develops an incommensurate field-induced long-range order with a finite transition temperature.
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Affiliation(s)
- Oleg A Starykh
- Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549, USA
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Kalvius G, Noakes D, Hartmann O. Chapter 206 μSR studies of rare-earth and actinide magnetic materials. HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS 2001. [DOI: 10.1016/s0168-1273(01)32005-6] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/04/2022]
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Mendels P, Keren A, Limot L, Mekata M, Collin G, Horvatic M. Ga NMR study of the local susceptibility in Kagome-based SrCr8Ga4O19: pseudogap and paramagnetic defects. PHYSICAL REVIEW LETTERS 2000; 85:3496-3499. [PMID: 11030930 DOI: 10.1103/physrevlett.85.3496] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/06/1999] [Indexed: 05/23/2023]
Abstract
We present the first Ga(4f ) NMR study of the Cr susceptibility in the archetype of kagome-based frustrated antiferromagnets, SrCr8Ga4O19. Our major finding is that the susceptibility of the frustrated lattice goes through a maximum around 50 K. Our data also support the existence of paramagnetic "clusters" of spins, responsible for the Curie behavior observed in the macroscopic susceptibility at low T. These results set novel features for the constantly debated physics of geometrically frustrated magnets.
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Affiliation(s)
- P Mendels
- Laboratoire de Physique des Solides, UMR 8502, Universite Paris-Sud, 91405 Orsay, France
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Keren A, Uemura YJ, Luke G, Mendels P, Mekata M, Asano T. Magnetic dilution in the geometrically frustrated SrCr(9p)Ga(12-9p)O19 and the role of local dynamics: A muon spin relaxation study. PHYSICAL REVIEW LETTERS 2000; 84:3450-3453. [PMID: 11019112 DOI: 10.1103/physrevlett.84.3450] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/12/1999] [Indexed: 05/23/2023]
Abstract
We investigate the spin dynamics of SrCr(9p)Ga(12-9p)O19 for p below and above the percolation threshold p(c) using muon spin relaxation. Our major findings are as follows: (i) At T-->0 the relaxation rate is T independent and approximately p(3), (ii) the slowing down of spin fluctuation is activated with an energy U, which is also a linear function of p(3) and lim U as p-->0 = 8 K; this energy scale could stem only from a single ion anisotropy, and (iii) the p dependence of the dynamical properties is identical below and above p(c), indicating that they are controlled by local excitation.
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Affiliation(s)
- A Keren
- Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel
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Ramirez AP, Hessen B, Winklemann M. Entropy balance and evidence for local spin singlets in a Kagome-like magnet. PHYSICAL REVIEW LETTERS 2000; 84:2957-2960. [PMID: 11018985 DOI: 10.1103/physrevlett.84.2957] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/1999] [Indexed: 05/23/2023]
Abstract
We have measured the specific heat C(T) of the S = 3 / 2 Kagome-lattice-containing compound SrCr (9p)Ga (12-9p)O (19). We find little field dependence of the low-temperature C(T), consistent with a low-energy spectrum dominated by many-body singlet excitations. At high temperatures, we recover only approximately 50% of the total R ln4 entropy.
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Affiliation(s)
- AP Ramirez
- Bell Labs, Lucent Technologies, 600 Mountain Avenue, Murray Hill, New Jersey 07974, USA
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41
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Sindzingre P, Misguich G, Lhuillier C, Bernu B, Pierre L, Waldtmann C, Everts H. Magnetothermodynamics of the spin- 1 / 2 Kagome antiferromagnet. PHYSICAL REVIEW LETTERS 2000; 84:2953-2956. [PMID: 11018984 DOI: 10.1103/physrevlett.84.2953] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/1999] [Indexed: 05/23/2023]
Abstract
In this paper, we use a new hybrid method to compute the thermodynamic behavior of the spin- 1 / 2 Kagome antiferromagnet under the influence of a large external magnetic field. We find a T2 low-temperature behavior and a very low sensitivity of the specific heat to a strong external magnetic field. We display clear evidence that this low-temperature magnetothermal effect is associated with the existence of low-lying fluctuating singlets, but also that the whole picture ( T2 behavior of C(v) and the thermally activated spin susceptibility) implies contribution of both nonmagnetic and magnetic excitations. Comparison with experiments is made.
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Affiliation(s)
- P Sindzingre
- Laboratoire de Physique Theorique des Liquides, Universite P. et M. Curie, case 121, 4 Place Jussieu, 75252 Paris Cedex, France
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Mirebeau I, Iancu G, Hennion M, Gavoille G, Hubsch J. Neutron study of the frustrated spinel compound Mg1+tFe2-2tTitO4 (t=0.55). PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:15928-15936. [PMID: 9985662 DOI: 10.1103/physrevb.54.15928] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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43
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Dunsiger SR, Kiefl RF, Chow KH, Gaulin BD, Gingras MJ, Greedan JE, Keren A, Kojima K, Luke GM, MacFarlane WA, Raju NP, Sonier JE, Uemura YJ, Wu WD. Muon spin relaxation investigation of the spin dynamics of geometrically frustrated antiferromagnets Y2Mo2O7 and Tb2Mo2O7. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:9019-9022. [PMID: 9984622 DOI: 10.1103/physrevb.54.9019] [Citation(s) in RCA: 55] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Schiffer P, Ramirez AP, Franklin KN, Cheong SW. Interaction-Induced Spin Coplanarity in a Kagomé Magnet: SrCr9pGa 12-9pO19. PHYSICAL REVIEW LETTERS 1996; 77:2085-2088. [PMID: 10061853 DOI: 10.1103/physrevlett.77.2085] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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45
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Tomczak P, Ferchmin AR, Richter J. Ground state of an antiferromagnetic Heisenberg spin system on a nontranslational lattice of dimension between one and two. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:395-401. [PMID: 9984272 DOI: 10.1103/physrevb.54.395] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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46
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Lee S, Broholm C, Aeppli G, Perring TG, Hessen B, Taylor A. Isolated spin pairs and two dimensional magnetism in SrCr9pGa12-9pO19. PHYSICAL REVIEW LETTERS 1996; 76:4424-4427. [PMID: 10061286 DOI: 10.1103/physrevlett.76.4424] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Keren A, Kojima K, Le LP, Luke GM, Wu WD, Uemura YJ, Takano M, Dabkowska H, Gingras MJ. Muon-spin-rotation measurements in the kagomé lattice systems: Cr-jarosite and Fe-jarosite. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:6451-6454. [PMID: 9982044 DOI: 10.1103/physrevb.53.6451] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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49
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Kojima K, Keren A, Le LP, Luke GM, Nachumi B, Wu WD, Uemura YJ, Kiyono K, Miyasaka S, Takagi H, Uchida S. Muon Spin Relaxation and Magnetic Susceptibility Measurements in the Haldane System Y2-xCax)Ba(Ni1-yMgy)O5. PHYSICAL REVIEW LETTERS 1995; 74:3471-3474. [PMID: 10058209 DOI: 10.1103/physrevlett.74.3471] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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50
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Kojima K, Keren A, Luke GM, Nachumi B, Wu WD, Uemura YJ, Azuma M, Takano M. Magnetic Behavior of the 2-Leg and 3-Leg Spin Ladder Cuprates Srn-1Cun+1O2n. PHYSICAL REVIEW LETTERS 1995; 74:2812-2815. [PMID: 10058024 DOI: 10.1103/physrevlett.74.2812] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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