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Affiliation(s)
- C. Broholm
- Institute for Quantum Matter and Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218, USA
| | - R. J. Cava
- Department of Chemistry, Princeton University, Princeton, NJ 08544, USA
| | - S. A. Kivelson
- Department of Physics, Stanford University, Stanford, CA 94305, USA
| | - D. G. Nocera
- Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138, USA
| | - M. R. Norman
- Materials Science Division, Argonne National Laboratory, Argonne, IL 60439, USA
| | - T. Senthil
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Wen JJ, Huang H, Lee SJ, Jang H, Knight J, Lee YS, Fujita M, Suzuki KM, Asano S, Kivelson SA, Kao CC, Lee JS. Observation of two types of charge-density-wave orders in superconducting La 2-xSr xCuO 4. Nat Commun 2019; 10:3269. [PMID: 31332190 PMCID: PMC6646325 DOI: 10.1038/s41467-019-11167-z] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2019] [Accepted: 06/13/2019] [Indexed: 11/26/2022] Open
Abstract
The discovery of charge- and spin-density-wave (CDW/SDW) orders in superconducting cuprates has altered our perspective on the nature of high-temperature superconductivity (SC). However, it has proven difficult to fully elucidate the relationship between the density wave orders and SC. Here, using resonant soft X-ray scattering, we study the archetypal cuprate La2-xSrxCuO4 (LSCO) over a broad doping range. We reveal the existence of two types of CDW orders in LSCO, namely CDW stripe order and CDW short-range order (SRO). While the CDW-SRO is suppressed by SC, it is partially transformed into the CDW stripe order with developing SDW stripe order near the superconducting Tc. These findings indicate that the stripe orders and SC are inhomogeneously distributed in the superconducting CuO2 planes of LSCO. This further suggests a new perspective on the putative pair-density-wave order that coexists with SC, SDW, and CDW orders. To fully elucidate the relationship between density wave orders and superconductivity in high-Tc cuprates remains difficult. Here, the authors reveal two types of charge-density-wave orders and their intertwined relationship with spin-density-wave order and superconductivity in La2-xSrxCuO4.
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Affiliation(s)
- J-J Wen
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - H Huang
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - S-J Lee
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - H Jang
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA.,PAL-XFEL, Pohang Accelerator Laboratory, Gyeongbuk, 37673, South Korea
| | - J Knight
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - Y S Lee
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA.,Department of Applied Physics, Stanford University, Stanford, CA, 94305, USA
| | - M Fujita
- Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan
| | - K M Suzuki
- Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan
| | - S Asano
- Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan
| | - S A Kivelson
- Departments of Physics, Stanford University, Stanford, CA, 94305, USA
| | - C-C Kao
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - J-S Lee
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA.
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3
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Jiang HC, Devereaux T, Kivelson SA. Holon Wigner Crystal in a Lightly Doped Kagome Quantum Spin Liquid. Phys Rev Lett 2017; 119:067002. [PMID: 28949592 DOI: 10.1103/physrevlett.119.067002] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/20/2017] [Indexed: 06/07/2023]
Abstract
We address the problem of a lightly doped spin liquid through a large-scale density-matrix renormalization group study of the t-J model on a kagome lattice with a small but nonzero concentration δ of doped holes. It is now widely accepted that the undoped (δ=0) spin-1/2 Heisenberg antiferromagnet has a spin-liquid ground state. Theoretical arguments have been presented that light doping of such a spin liquid could give rise to a high temperature superconductor or an exotic topological Fermi liquid metal. Instead, we infer that the doped holes form an insulating charge-density wave state with one doped hole per unit cell, i.e., a Wigner crystal. Spin correlations remain short ranged, as in the spin-liquid parent state, from which we infer that the state is a crystal of spinless holons, rather than of holes. Our results may be relevant to kagome lattice herbertsmithite upon doping.
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Affiliation(s)
- Hong-Chen Jiang
- Stanford Institute for Materials and Energy Sciences, SLAC and Stanford University, Menlo Park, California 94025, USA
| | - T Devereaux
- Stanford Institute for Materials and Energy Sciences, SLAC and Stanford University, Menlo Park, California 94025, USA
| | - S A Kivelson
- Department of Physics, Stanford University, Stanford, California 94305, USA
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4
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Kuo HH, Chu JH, Palmstrom JC, Kivelson SA, Fisher IR. Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors. Science 2016; 352:958-62. [DOI: 10.1126/science.aab0103] [Citation(s) in RCA: 201] [Impact Index Per Article: 25.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2015] [Accepted: 04/15/2016] [Indexed: 11/02/2022]
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5
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Gerber S, Jang H, Nojiri H, Matsuzawa S, Yasumura H, Bonn DA, Liang R, Hardy WN, Islam Z, Mehta A, Song S, Sikorski M, Stefanescu D, Feng Y, Kivelson SA, Devereaux TP, Shen ZX, Kao CC, Lee WS, Zhu D, Lee JS. Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields. Science 2015; 350:949-52. [PMID: 26541608 DOI: 10.1126/science.aac6257] [Citation(s) in RCA: 238] [Impact Index Per Article: 26.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/21/2015] [Accepted: 09/30/2015] [Indexed: 11/02/2022]
Abstract
Charge density wave (CDW) correlations have been shown to universally exist in cuprate superconductors. However, their nature at high fields inferred from nuclear magnetic resonance is distinct from that measured with x-ray scattering at zero and low fields. We combined a pulsed magnet with an x-ray free-electron laser to characterize the CDW in YBa2Cu3O6.67 via x-ray scattering in fields of up to 28 tesla. While the zero-field CDW order, which develops at temperatures below ~150 kelvin, is essentially two dimensional, at lower temperature and beyond 15 tesla, another three-dimensionally ordered CDW emerges. The field-induced CDW appears around the zero-field superconducting transition temperature; in contrast, the incommensurate in-plane ordering vector is field-independent. This implies that the two forms of CDW and high-temperature superconductivity are intimately linked.
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Affiliation(s)
- S Gerber
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA
| | - H Jang
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - H Nojiri
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai, 980-8577, Japan
| | - S Matsuzawa
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai, 980-8577, Japan
| | - H Yasumura
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai, 980-8577, Japan
| | - D A Bonn
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada. Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - R Liang
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada. Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - W N Hardy
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada. Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - Z Islam
- The Advanced Photon Source, Argonne National Laboratory, Argonne, IL 60439, USA
| | - A Mehta
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - S Song
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - M Sikorski
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - D Stefanescu
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - Y Feng
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - S A Kivelson
- Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA 94305, USA
| | - T P Devereaux
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA
| | - Z-X Shen
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA. Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA 94305, USA
| | - C-C Kao
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - W-S Lee
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA.
| | - D Zhu
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA.
| | - J-S Lee
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA.
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6
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White SR, Scalapino DJ, Kivelson SA. One Hole in the Two-Leg t-J Ladder and Adiabatic Continuity to the Noninteracting Limit. Phys Rev Lett 2015; 115:056401. [PMID: 26274429 DOI: 10.1103/physrevlett.115.056401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/17/2015] [Indexed: 06/04/2023]
Abstract
We carry out density-matrix-renormalization group (DMRG) calculations for the problem of one doped hole in a two-leg t-J ladder. Recent studies have concluded that exotic "Mott" physics-arising from the projection onto the space of no double-occupied sites-is manifest in this model system, leading to charge localization and a new mechanism for charge modulation. In contrast, we show that there is no localization and that the charge-density modulation arises when the minimum in the quasiparticle dispersion moves away from π. Although singular changes in the quasiparticle dispersion do occur as a function of model parameters, all of the DMRG results can be qualitatively understood from a noninteracting "band-structure" perspective.
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Affiliation(s)
- S R White
- Department of Physics, University of California, Irvine, California 92697, USA, Department of Physics, University of California, Santa Barbara, California 93106, USA, and Department of Physics, Stanford University, Stanford, California 94305, USA
| | - D J Scalapino
- Department of Physics, University of California, Irvine, California 92697, USA, Department of Physics, University of California, Santa Barbara, California 93106, USA, and Department of Physics, Stanford University, Stanford, California 94305, USA
| | - S A Kivelson
- Department of Physics, University of California, Irvine, California 92697, USA, Department of Physics, University of California, Santa Barbara, California 93106, USA, and Department of Physics, Stanford University, Stanford, California 94305, USA
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7
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Lederer S, Schattner Y, Berg E, Kivelson SA. Enhancement of superconductivity near a nematic quantum critical point. Phys Rev Lett 2015; 114:097001. [PMID: 25793842 DOI: 10.1103/physrevlett.114.097001] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/12/2014] [Indexed: 06/04/2023]
Abstract
We consider a low T_{c} metallic superconductor weakly coupled to the soft fluctuations associated with proximity to a nematic quantum critical point (NQCP). We show that (1) a BCS-Eliashberg treatment remains valid outside of a parametrically narrow interval about the NQCP, (2) the symmetry of the superconducting state (d wave, s wave, p wave) is typically determined by the noncritical interactions, but T_{c} is enhanced by the nematic fluctuations in all channels, and (3) in 2D, this enhancement grows upon approach to criticality up to the point at which the weak coupling approach breaks down, but in 3D, the enhancement is much weaker.
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Affiliation(s)
- S Lederer
- Department of Physics, Stanford University, Stanford, California 94305, USA
| | - Y Schattner
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
| | - E Berg
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
| | - S A Kivelson
- Department of Physics, Stanford University, Stanford, California 94305, USA
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Parameswaran SA, Kivelson SA, Shankar R, Sondhi SL, Spivak BZ. Microscopic model of quasiparticle wave packets in superfluids, superconductors, and paired Hall states. Phys Rev Lett 2012; 109:237004. [PMID: 23368246 DOI: 10.1103/physrevlett.109.237004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2012] [Indexed: 06/01/2023]
Abstract
We study the structure of Bogoliubov quasiparticles, bogolons, the fermionic excitations of paired superfluids that arise from fermion (BCS) pairing, including neutral superfluids, superconductors, and paired quantum Hall states. The naive construction of a stationary quasiparticle in which the deformation of the pair field is neglected leads to a contradiction: it carries a net electrical current even though it does not move. However, treating the pair field self-consistently resolves this problem: in a neutral superfluid, a dipolar current pattern is associated with the quasiparticle for which the total current vanishes. When Maxwell electrodynamics is included, as appropriate to a superconductor, this pattern is confined over a penetration depth. For paired quantum Hall states of composite fermions, the Maxwell term is replaced by a Chern-Simons term, which leads to a dipolar charge distribution and consequently to a dipolar current pattern.
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Affiliation(s)
- S A Parameswaran
- Department of Physics, University of California, Berkeley, California 94720, USA.
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10
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Parameswaran SA, Kivelson SA, Sondhi SL, Spivak BZ. Weakly coupled Pfaffian as a type I quantum Hall liquid. Phys Rev Lett 2011; 106:236801. [PMID: 21770531 DOI: 10.1103/physrevlett.106.236801] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/13/2010] [Indexed: 05/31/2023]
Abstract
The Pfaffian phase in the proximity of a half-filled Landau level is understood to be a p+ip superconductor of composite fermions. We consider the properties of this paired quantum Hall phase when the pairing energy is small, i.e., in the weak-coupling, BCS limit, where the coherence length is much larger than the charge screening length. We find that, as in a type I superconductor, vortices attract so that, upon varying the magnetic field from its magic value at ν=5/2, the system exhibits Coulomb frustrated phase separation. We propose that the weakly and strongly coupled Pfaffians exemplify a general dichotomy between type I and type II quantum Hall fluids.
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Affiliation(s)
- S A Parameswaran
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
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11
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He RH, Hashimoto M, Karapetyan H, Koralek JD, Hinton JP, Testaud JP, Nathan V, Yoshida Y, Yao H, Tanaka K, Meevasana W, Moore RG, Lu DH, Mo SK, Ishikado M, Eisaki H, Hussain Z, Devereaux TP, Kivelson SA, Orenstein J, Kapitulnik A, Shen ZX. From a single-band metal to a high-temperature superconductor via two thermal phase transitions. Science 2011; 331:1579-83. [PMID: 21436447 DOI: 10.1126/science.1198415] [Citation(s) in RCA: 270] [Impact Index Per Article: 20.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
The nature of the pseudogap phase of cuprate high-temperature superconductors is a major unsolved problem in condensed matter physics. We studied the commencement of the pseudogap state at temperature T* using three different techniques (angle-resolved photoemission spectroscopy, polar Kerr effect, and time-resolved reflectivity) on the same optimally doped Bi2201 crystals. We observed the coincident, abrupt onset at T* of a particle-hole asymmetric antinodal gap in the electronic spectrum, a Kerr rotation in the reflected light polarization, and a change in the ultrafast relaxational dynamics, consistent with a phase transition. Upon further cooling, spectroscopic signatures of superconductivity begin to grow close to the superconducting transition temperature (T(c)), entangled in an energy-momentum-dependent manner with the preexisting pseudogap features, ushering in a ground state with coexisting orders.
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Affiliation(s)
- Rui-Hua He
- Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA 94305, USA
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Abstract
We show that the interplay between spin and charge fluctuations in Sr₂RuO₄ leads unequivocally to triplet pairing which has a hidden quasi-one-dimensional character. The resulting superconducting state spontaneously breaks time-reversal symmetry and is of the form Δ ~(p(x)+ip(y))z(^) with sharp gap minima and a d vector that is only weakly pinned. The superconductor lacks robust chiral Majorana fermion modes along the boundary. The absence of topologically protected edge modes could explain the surprising absence of experimentally detectable edge currents in this system.
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Affiliation(s)
- S Raghu
- Department of Physics, Stanford University, Stanford, California 94305, USA
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13
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Xia J, Schemm E, Deutscher G, Kivelson SA, Bonn DA, Hardy WN, Liang R, Siemons W, Koster G, Fejer MM, Kapitulnik A. Polar Kerr-effect measurements of the high-temperature YBa2Cu3O6+x superconductor: evidence for broken symmetry near the pseudogap temperature. Phys Rev Lett 2008; 100:127002. [PMID: 18517903 DOI: 10.1103/physrevlett.100.127002] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/15/2007] [Indexed: 05/26/2023]
Abstract
The polar Kerr effect in the high-T_(c) superconductor YBa2Cu3O6+x was measured at zero magnetic field with high precision using a cyogenic Sagnac fiber interferometer. We observed nonzero Kerr rotations of order approximately 1 microrad appearing near the pseudogap temperature T(*) and marking what appears to be a true phase transition. Anomalous magnetic behavior in magnetic-field training of the effect suggests that time reversal symmetry is already broken above room temperature.
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Affiliation(s)
- Jing Xia
- Department of Physics, Stanford University, Stanford, California 94305, USA
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14
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Berg E, Chen CC, Kivelson SA. Stability of nodal quasiparticles in superconductors with coexisting orders. Phys Rev Lett 2008; 100:027003. [PMID: 18232911 DOI: 10.1103/physrevlett.100.027003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/02/2007] [Indexed: 05/25/2023]
Abstract
We establish a condition for the perturbative stability of zero energy nodal points in the quasiparticle spectrum of superconductors in the presence of coexisting commensurate orders. The nodes are found to be stable if the Hamiltonian is invariant under time reversal followed by a lattice translation. The principle is demonstrated with a few examples. Some experimental implications of various types of assumed order are discussed in the context of the cuprate superconductors.
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Affiliation(s)
- E Berg
- Department of Physics, Stanford University, Stanford, California 94305-4045, USA
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15
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Berg E, Fradkin E, Kim EA, Kivelson SA, Oganesyan V, Tranquada JM, Zhang SC. Dynamical layer decoupling in a stripe-ordered high-T(c) superconductor. Phys Rev Lett 2007; 99:127003. [PMID: 17930544 DOI: 10.1103/physrevlett.99.127003] [Citation(s) in RCA: 73] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/03/2007] [Indexed: 05/25/2023]
Abstract
In the stripe-ordered state of a strongly correlated two-dimensional electronic system, under a set of special circumstances, the superconducting condensate, like the magnetic order, can occur at a nonzero wave vector corresponding to a spatial period double that of the charge order. In this case, the Josephson coupling between near neighbor planes, especially in a crystal with the special structure of La(2-x)Ba(x)CuO(4), vanishes identically. We propose that this is the underlying cause of the dynamical decoupling of the layers recently observed in transport measurements at x = 1/8.
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Affiliation(s)
- E Berg
- Department of Physics, Stanford University, Stanford, California 94305-4060, USA
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16
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Carlson EW, Dahmen KA, Fradkin E, Kivelson SA. Hysteresis and noise from electronic nematicity in high-temperature superconductors. Phys Rev Lett 2006; 96:097003. [PMID: 16606299 DOI: 10.1103/physrevlett.96.097003] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/11/2005] [Indexed: 05/08/2023]
Abstract
An electron nematic is a translationally invariant state which spontaneously breaks the discrete rotational symmetry of a host crystal. In a clean square lattice, the electron nematic has two preferred orientations, while dopant disorder favors one or the other orientations locally. In this way, the electron nematic in a host crystal maps to the random field Ising model. Since the electron nematic has anisotropic conductivity, we associate each Ising configuration with a resistor network and use what is known about the random field Ising model to predict new ways to test for local electronic nematic order (nematicity) using noise and hysteresis. In particular, we have uncovered a remarkably robust linear relation between the orientational order and the resistance anisotropy which holds over a wide range of circumstances.
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Affiliation(s)
- E W Carlson
- Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA
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17
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Fang AC, Capriotti L, Scalapino DJ, Kivelson SA, Kaneko N, Greven M, Kapitulnik A. Gap-inhomogeneity-induced electronic states in superconducting Bi2Sr2CaCu2O(8+delta). Phys Rev Lett 2006; 96:017007. [PMID: 16486504 DOI: 10.1103/physrevlett.96.017007] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/10/2005] [Indexed: 05/06/2023]
Abstract
In this Letter, we analyze, using scanning tunneling spectroscopy, the density of electronic states in nearly optimally doped Bi2Sr2CaCu2O(8+delta) in zero magnetic field. Focusing on the superconducting gap, we find patches of what appear to be two different phases in a background of some average gap, one with a relatively small gap and sharp large coherence peaks and one characterized by a large gap with broad weak coherence peaks. We compare these spectra with calculations of the local density of states for a simple phenomenological model in which a 2xi0 x 2xi0 patch with an enhanced or suppressed d-wave gap amplitude is embedded in a region with a uniform average d-wave gap.
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Affiliation(s)
- A C Fang
- Department of Applied Physics, Stanford University, Stanford, California 94305, USA
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18
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Granath M, Oganesyan V, Kivelson SA, Fradkin E, Emery VJ. Nodal quasiparticles in stripe ordered superconductors. Phys Rev Lett 2001; 87:167011. [PMID: 11690235 DOI: 10.1103/physrevlett.87.167011] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/23/2000] [Indexed: 05/23/2023]
Abstract
We study the properties of a quasi-one-dimensional superconductor which consists of an alternating array of two inequivalent chains. This model is a simple caricature of a striped high temperature superconductor, and is more generally a theoretically controllable system in which the superconducting state emerges from a non-Fermi-liquid normal state. Even in this limit, " d-wave-like" order parameter symmetry is natural, but the superconducting state can either have a complete gap in the quasiparticle spectrum, or gapless "nodal" quasiparticles. We also find circumstances in which antiferromagnetic order (typically incommensurate) coexists with superconductivity.
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Affiliation(s)
- M Granath
- Department of Physics, UCLA, Los Angeles, California 90095, USA
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Kivelson SA, Aeppli G, Emery VJ. Thermodynamics of the interplay between magnetism and high-temperature superconductivity. Proc Natl Acad Sci U S A 2001; 98:11903-7. [PMID: 11593001 PMCID: PMC59818 DOI: 10.1073/pnas.211363698] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2001] [Accepted: 07/16/2001] [Indexed: 11/18/2022] Open
Abstract
Copper-oxide-based high-temperature superconductors have complex phase diagrams with multiple ordered phases. It even appears that the highest superconducting transition temperatures for certain cuprates are found in samples that display simultaneous onset of magnetism and superconductivity. We show here how the thermodynamics of fluid mixtures-a touchstone for chemistry as well as hard and soft condensed matter physics-accounts for this startling observation, as well as many other properties of the cuprates in the vicinity of the instability toward "striped" magnetism.
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Affiliation(s)
- S A Kivelson
- Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1547, USA.
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Orgad D, Kivelson SA, Carlson EW, Emery VJ, Zhou XJ, Shen ZX. Evidence of electron fractionalization from photoemission spectra in the high temperature superconductors. Phys Rev Lett 2001; 86:4362-4365. [PMID: 11328175 DOI: 10.1103/physrevlett.86.4362] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/30/2000] [Indexed: 05/23/2023]
Abstract
In the normal state of the high temperature superconductors Bi(2)Sr(2)CaCu(2)O(8+delta) and La2(-x)Sr(x)CuO4, and in the related "stripe ordered" material, La(1.25)Nd(0.6)Sr(0.15)CuO4, there is sharp structure in the measured single hole spectral function, A<(k-->,omega), considered as a function of k--> at fixed small binding energy omega. At the same time, as a function of omega at fixed k--> on much of the putative Fermi surface, any structure in A<(k-->,omega), other than the Fermi cutoff, is very broad. This is characteristic of the situation in which there are no stable excitations with the quantum numbers of the electron, as is the case in the one-dimensional electron gas.
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Affiliation(s)
- D Orgad
- Department of Physics, U.C.L.A., Los Angeles, California 90095. USA
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Emery VJ, Fradkin E, Kivelson SA, Lubensky TC. Quantum theory of the smectic metal state in stripe phases. Phys Rev Lett 2000; 85:2160-2163. [PMID: 10970487 DOI: 10.1103/physrevlett.85.2160] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/10/2000] [Indexed: 05/23/2023]
Abstract
We present a theory of the electron smectic fixed point of the stripe phases of doped layered Mott insulators. We show that in the presence of a spin gap three phases generally arise: (a) a smectic superconductor, (b) an insulating stripe crystal, and (c) a smectic metal. The latter phase is a stable two-dimensional anisotropic non-Fermi liquid. In the absence of a spin gap there is also a more conventional Fermi-liquid-like phase. The smectic superconductor and smectic metal phases (or glassy versions thereof) may have already been seen in Nd-doped La2-xSrxCuO4.
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Affiliation(s)
- VJ Emery
- Brookhaven National Laboratory, Upton, New York 11973-5000, USA
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Fradkin E, Kivelson SA, Manousakis E, Nho K. Nematic phase of the two-dimensional electron gas in a magnetic field. Phys Rev Lett 2000; 84:1982-1985. [PMID: 11017676 DOI: 10.1103/physrevlett.84.1982] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/1999] [Indexed: 05/23/2023]
Abstract
The two-dimensional electron gas (2DEG) in moderate magnetic fields in ultraclean AlAs-GaAs heterojunctions exhibits transport anomalies suggestive of a compressible anisotropic metallic state. Using scaling arguments and Monte Carlo simulations, we develop an order parameter theory of an electron nematic phase. The observed temperature dependence of the resistivity anisotropy behaves like the orientational order parameter if the transition to the nematic state occurs at a finite temperature T(c) approximately 65 mK, and is slightly rounded by a small background microscopic anisotropy. We propose a light scattering experiment to measure the critical susceptibility.
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Affiliation(s)
- E Fradkin
- Department of Physics, University of Illinois, Urbana, Illinois 61801-3080, USA
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Abstract
Stripe phases are predicted and observed to occur in a class of strongly correlated materials describable as doped antiferromagnets, of which the copper-oxide superconductors are the most prominent representatives. The existence of stripe correlations necessitates the development of new principles for describing charge transport and especially superconductivity in these materials.
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Affiliation(s)
- V J Emery
- Department of Physics, Brookhaven National Laboratory, Upton, NY 11973-5000, USA
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Kivelson D, Tarjus G, Xiao X, Kivelson SA. Reply to "Comment on 'Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids' ". Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1996; 54:5873-5874. [PMID: 9965787 DOI: 10.1103/physreve.54.5873] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Salkola MI, Emery VJ, Kivelson SA. Implications of Charge Ordering for Single-Particle Properties of High-Tc Superconductors. Phys Rev Lett 1996; 77:155-158. [PMID: 10061795 DOI: 10.1103/physrevlett.77.155] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Kivelson D, Tarjus G, Zhao X, Kivelson SA. Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 1996; 53:751-758. [PMID: 9964310 DOI: 10.1103/physreve.53.751] [Citation(s) in RCA: 58] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Salkola MI, Kivelson SA. Two-phase coexistence and semimetallic states in conducting polymers. Phys Rev B Condens Matter 1994; 50:13962-13973. [PMID: 9975614 DOI: 10.1103/physrevb.50.13962] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Löw U, Emery VJ, Fabricius K, Kivelson SA. Study of an Ising model with competing long- and short-range interactions. Phys Rev Lett 1994; 72:1918-1921. [PMID: 10055737 DOI: 10.1103/physrevlett.72.1918] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Jain JK, Kivelson SA, Thouless DJ. Proposed measurement of an effective flux quantum in the fractional quantum Hall effect. Phys Rev Lett 1993; 71:3003-3006. [PMID: 10054833 DOI: 10.1103/physrevlett.71.3003] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Sondhi SL, Karlhede A, Kivelson SA, Rezayi EH. Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies. Phys Rev B Condens Matter 1993; 47:16419-16426. [PMID: 10006073 DOI: 10.1103/physrevb.47.16419] [Citation(s) in RCA: 823] [Impact Index Per Article: 26.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Abstract
The effect of isotopic substitution on the superconducting transition temperature, T(c), in alkali-doped C(60) has been examined. Paradoxically, it is found that a substantial decrease in T(c) with the increasing isotopic mass is possible even when the attractive interaction is not mediated by phonons but is instead of purely electronic origin. In particular, it is shown that the experimentally measured isotopic shifts are consistent with a recently proposed electronic mechanism. Further predictions are presented that can be tested by experiment.
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Kivelson SA, Spivak BZ. Aharonov-Bohm oscillations with period hc/4e and negative magnetoresistance in dirty superconductors. Phys Rev B Condens Matter 1992; 45:10490-10495. [PMID: 10000954 DOI: 10.1103/physrevb.45.10490] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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White SR, Chakravarty S, Gelfand MP, Kivelson SA. Pair binding in small Hubbard-model molecules. Phys Rev B Condens Matter 1992; 45:5062-5065. [PMID: 10002159 DOI: 10.1103/physrevb.45.5062] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Spivak BI, Kivelson SA. Negative local superfluid densities: The difference between dirty superconductors and dirty Bose liquids. Phys Rev B Condens Matter 1991; 43:3740-3743. [PMID: 9997708 DOI: 10.1103/physrevb.43.3740] [Citation(s) in RCA: 59] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kivelson SA, Rokhsar DS. Bogoliubov quasiparticles, spinons, and spin-charge decoupling in superconductors. Phys Rev B Condens Matter 1990; 41:11693-11696. [PMID: 9993614 DOI: 10.1103/physrevb.41.11693] [Citation(s) in RCA: 32] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kivelson SA, Rokhsar DS, Sethna JP, Shore JD. Reply to "Neutral-fermion-soliton statistics in the short-range resonating-valence-bond state: A reevaluation". Phys Rev B Condens Matter 1989; 40:7343-7344. [PMID: 9991137 DOI: 10.1103/physrevb.40.7343] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kivelson SA, Pokrovsky VL. Methods to measure the charge of the quasiparticles in the fractional quantum Hall effect. Phys Rev B Condens Matter 1989; 40:1373-1376. [PMID: 9991979 DOI: 10.1103/physrevb.40.1373] [Citation(s) in RCA: 31] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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