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Yurkevich IV, Galda A, Yevtushenko OM, Lerner IV. Duality of weak and strong scatterer in a Luttinger liquid coupled to massless bosons. PHYSICAL REVIEW LETTERS 2013; 110:136405. [PMID: 23581351 DOI: 10.1103/physrevlett.110.136405] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/12/2012] [Indexed: 06/02/2023]
Abstract
We study electronic transport in a Luttinger liquid with an embedded impurity, which is either a weak scatterer (WS) or a weak link (WL), when interacting electrons are coupled to one-dimensional massless bosons (e.g., acoustic phonons). We find that the duality relation, ΔWSΔWL=1, between scaling dimensions of the electron backscattering in the WS and WL limits, established for the standard Luttinger liquid, holds in the presence of the additional coupling for an arbitrary fixed strength of boson scattering from the impurity. This means that at low temperatures such a system remains either an ideal insulator or an ideal metal, regardless of the scattering strength. On the other hand, when fermion and boson scattering from the impurity are correlated, the system has a rich phase diagram that includes a metal-insulator transition at some intermediate values of the scattering.
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Affiliation(s)
- Igor V Yurkevich
- Nonlinearity and Complexity Research Group, Aston University, Birmingham B4 7ET, United Kingdom
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2
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Krammer P, Kampermann H, Bruss D, Bertlmann RA, Kwek LC, Macchiavello C. Multipartite entanglement detection via structure factors. PHYSICAL REVIEW LETTERS 2009; 103:100502. [PMID: 19792291 DOI: 10.1103/physrevlett.103.100502] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/28/2009] [Indexed: 05/28/2023]
Abstract
We establish a relation between entanglement of a many-body system and its diffractive properties, where the link is given by structure factors. Based on these, we provide a general analytical construction of multiqubit entanglement witnesses. The proposed witnesses contain two-point correlations. They could be either measured in a scattering experiment or via local measurements, depending on the underlying physical system. For some explicit examples of witnesses we analyze the properties of the states that are detected by them. We further study the robustness of these witnesses with respect to noise.
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Affiliation(s)
- Philipp Krammer
- Faculty of Physics, University of Vienna, A-1090 Vienna, Austria
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Schneider I, Struck A, Bortz M, Eggert S. Local density of states for individual energy levels in finite quantum wires. PHYSICAL REVIEW LETTERS 2008; 101:206401. [PMID: 19113359 DOI: 10.1103/physrevlett.101.206401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/02/2008] [Indexed: 05/27/2023]
Abstract
The local density of states in finite quantum wires is calculated as a function of discrete energies and position along the wire. By using a combination of numerical density matrix renormalization group calculations and analytical bosonization techniques, it is possible to obtain a good understanding of the local spectral weights along the wire in terms of the underlying many-body excitations.
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Affiliation(s)
- Imke Schneider
- Department of Physics and Research Center OPTIMAS, Univ. Kaiserslautern, D-67663 Kaiserslautern, Germany
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Eggert S, Syljuåsen OF, Anfuso F, Andres M. Universal alternating order around impurities in antiferromagnets. PHYSICAL REVIEW LETTERS 2007; 99:097204. [PMID: 17931032 DOI: 10.1103/physrevlett.99.097204] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/24/2007] [Indexed: 05/25/2023]
Abstract
The study of impurities in antiferromagnets is of considerable interest in condensed matter physics. In this Letter we address the elementary question of the effect of vacancies on the orientation of the surrounding magnetic moments in an antiferromagnet. In the presence of a magnetic field, alternating magnetic moments are induced, which can be described by a universal expression that is valid in any ordered antiferromagnet and turns out to be independent of temperature over a large range. The universality is not destroyed by quantum fluctuations, which is demonstrated by quantum Monte Carlo simulations of the two-dimensional Heisenberg antiferromagnet. Physical predictions for finite doping are made, which are relevant for experiments probing Knight shifts and the order parameter.
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Affiliation(s)
- Sebastian Eggert
- Department of Physics, University of Kaiserslautern, D-67663 Kaiserslautern, Germany
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Kindermann M, Brouwer PW, Millis AJ. Interference as a probe of spin incoherence in strongly interacting quantum wires. PHYSICAL REVIEW LETTERS 2006; 97:036809. [PMID: 16907534 DOI: 10.1103/physrevlett.97.036809] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/18/2006] [Indexed: 05/11/2023]
Abstract
We show that interference experiments can be used to identify the spin-incoherent regime of strongly interacting one-dimensional conductors. Two qualitative signatures of spin incoherence are found: a strong magnetic field dependence of the interference contrast and an anomalous scaling of the interference contrast with the applied voltage, with a temperature and magnetic field dependent scaling exponent. The experiments distinguish the spin-incoherent from the spin-polarized regime, and so may be useful in deciding between alternative explanations proposed for the anomalous conductance quantization observed in quantum point contacts and quantum wires at low density.
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Affiliation(s)
- M Kindermann
- Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
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Anfuso F, Eggert S. Knight shifts around vacancies in the 2D Heisenberg model. PHYSICAL REVIEW LETTERS 2006; 96:017204. [PMID: 16486510 DOI: 10.1103/physrevlett.96.017204] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/16/2005] [Indexed: 05/06/2023]
Abstract
The local response to a uniform field around vacancies in the two-dimensional spin-1/2 Heisenberg antiferromagnet is determined by numerical quantum Monte Carlo simulations as a function of temperature. It is possible to separate the Knight shifts into uniform and staggered contributions on the lattice which are analyzed and understood in detail. The contributions show interesting long- and short-range behavior that may be of relevance in NMR and susceptibility measurements. For more than one impurity, remarkable nonlinear enhancement and cancellation effects take place. We predict that the Curie impurity susceptibility will be observable for a random impurity concentration even in the thermodynamic limit.
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Affiliation(s)
- Fabrizio Anfuso
- Institute of Theoretical Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden
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Fujimoto S, Eggert S. Boundary susceptibility in the spin-1/2 chain: Curie-like behavior without magnetic impurities. PHYSICAL REVIEW LETTERS 2004; 92:037206. [PMID: 14753906 DOI: 10.1103/physrevlett.92.037206] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/07/2003] [Indexed: 05/24/2023]
Abstract
We investigate the low-temperature thermodynamics of the spin-1/2 Heisenberg chain with open ends. On the basis of boundary conformal field theory arguments and numerical density matrix renormalization group calculations, it is established that in the isotropic case the impurity susceptibility exhibits a Curie-like divergent behavior as the temperature decreases, even in the absence of magnetic impurities. A similar singular temperature dependence is also found in the boundary contributions of the specific heat coefficient. In the anisotropic case, for 1/2<Delta<1, these boundary quantities still show a singular temperature dependence obeying a power law with an anomalous dimension. Experimental consequences will be discussed.
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Chakhalian JA, Kiefl RF, Miller R, Brewer J, Dunsiger SR, Morris G, MacFarlane WA, Sonier JE, Eggert S, Affleck I, Keren A, Verdaguer M. Local magnetic susceptibility of the positive muon in the quasi-one-dimensional S=1/2 antiferromagnet dichlorobis (pyridine) copper (II). PHYSICAL REVIEW LETTERS 2003; 91:027202. [PMID: 12906505 DOI: 10.1103/physrevlett.91.027202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/26/2003] [Indexed: 05/24/2023]
Abstract
We report muon spin rotation measurements of the local magnetic susceptibility around a positive muon in the paramagnetic state of the quasi-one-dimensional spin 1/2 antiferromagnet dichlorobis (pyridine) copper (II). Signals from three distinct sites are resolved and have a temperature dependent frequency shift which is significantly different than the magnetic susceptibility. This difference is attributed to a muon induced perturbation of the spin 1/2 chain. The obtained frequency shifts are compared with transfer matrix density-matrix renormalization-group numerical simulations.
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Affiliation(s)
- J A Chakhalian
- Department of Physics and Astronomy, UBC, Vancouver, BC, Canada V6T 1Z1
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Spin and Pseudo Spins in Theoretical Chemistry. A Unified View for Superposed and Entangled Quantum Systems. B KOREAN CHEM SOC 2003. [DOI: 10.5012/bkcs.2003.24.6.864] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Eggert S, Affleck I, Horton MDP. Néel order in doped quasi-one-dimensional antiferromagnets. PHYSICAL REVIEW LETTERS 2002; 89:047202. [PMID: 12144497 DOI: 10.1103/physrevlett.89.047202] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/29/2002] [Indexed: 05/23/2023]
Abstract
We study the Néel temperature of quasi-one-dimensional S = 1/2 antiferromagnets containing nonmagnetic impurities. We first consider the temperature dependence of the staggered susceptibility of finite chains with open boundary conditions, which shows an interesting difference for even and odd length chains. We then use a mean field theory treatment to incorporate the three-dimensional interchain couplings. The resulting Néel temperature shows a pronounced drop as a function of doping by up to a factor of 5.
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Affiliation(s)
- Sebastian Eggert
- Institute of Theoretical Physics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden
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Eggert S. Scanning tunneling microscopy of a luttinger liquid. PHYSICAL REVIEW LETTERS 2000; 84:4413-4416. [PMID: 10990699 DOI: 10.1103/physrevlett.84.4413] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/02/1999] [Indexed: 05/23/2023]
Abstract
Explicit predictions for scanning tunneling microscopy (STM) on interacting one-dimensional electron systems are made using the Luttinger liquid formalism. The STM current changes with the distance from an impurity or boundary in a characteristic way, which reveals the spin-charge separation and the interaction strength in the system. The current exhibits Friedel-like oscillations, but also carries additional modulated behavior as a function of voltage and distance, which shows the spin-charge separation in real space. Moreover, very close to the boundary the current is strongly reduced, which is an indication of the interaction strength in the system.
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Affiliation(s)
- S Eggert
- Institute of Theoretical Physics, Chalmers University of Technology and Goteborg University, S-412 96 Goteborg, Sweden
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The density matrix renormalization group method: Application to the low-lying electronic states in conjugated polymers. ADVANCES IN QUANTUM CHEMISTRY 2000. [DOI: 10.1016/s0065-3276(00)38004-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/05/2023]
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Egger R, Schoeller H. RKKY interaction and Kondo screening cloud for strongly correlated electrons. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:16337-16340. [PMID: 9985738 DOI: 10.1103/physrevb.54.16337] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Leclair A, Lesage F, Saleur H. Exact Friedel oscillations in the g=1/2 Luttinger liquid. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:13597-13603. [PMID: 9985271 DOI: 10.1103/physrevb.54.13597] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Ng TK, Qin S, Su ZB. Density-matrix renormalization-group study of S=1/2 Heisenberg spin chains: Friedel oscillations and marginal system-size effects. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:9854-9861. [PMID: 9984720 DOI: 10.1103/physrevb.54.9854] [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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Takigawa M, Motoyama N, Eisaki H, Uchida S. Dynamics in the S=1/2 one-dimensional antiferromagnet Sr2CuO3 via 63Cu NMR. PHYSICAL REVIEW LETTERS 1996; 76:4612-4615. [PMID: 10061335 DOI: 10.1103/physrevlett.76.4612] [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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Sorensen ES, Affleck I. Scaling theory of the Kondo screening cloud. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:9153-9167. [PMID: 9982417 DOI: 10.1103/physrevb.53.9153] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Sen S. Dynamical universality class of Brownian motion and exact results for a single-impurity s=1/2 XY chain. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:5104-5107. [PMID: 9984101 DOI: 10.1103/physrevb.53.5104] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Eggert S, Johannesson H, Mattsson A. Boundary effects on spectral properties of interacting electrons in one dimension. PHYSICAL REVIEW LETTERS 1996; 76:1505-1508. [PMID: 10061740 DOI: 10.1103/physrevlett.76.1505] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Arovas DP, Auerbach A. Tetrahis(dimethylamino)ethylene-C60: Multicomponent superexchange and Mott ferromagnetism. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:10114-10121. [PMID: 9980059 DOI: 10.1103/physrevb.52.10114] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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