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Chen X, LeBlanc JPF, Gull E. Simulation of the NMR response in the pseudogap regime of the cuprates. Nat Commun 2017; 8:14986. [PMID: 28387251 PMCID: PMC5385573 DOI: 10.1038/ncomms14986] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/17/2016] [Accepted: 02/20/2017] [Indexed: 11/09/2022] Open
Abstract
The pseudogap in the cuprate high-temperature superconductors was discovered as a suppression of the Knight shift and spin relaxation time measured in nuclear magnetic resonance (NMR) experiments. However, theoretical understanding of this suppression in terms of the magnetic susceptiblility of correlated itinerant fermion systems was so far lacking. Here we study the temperature and doping evolution of these quantities on the two-dimensional Hubbard model using cluster dynamical mean field theory. We recover the suppression of the Knight shift and the linear-in-T spin echo decay that increases with doping. The relaxation rate shows a marked increase as T is lowered but no indication of a pseudogap on the Cu site, and a clear downturn on the O site, consistent with experimental results on single layer materials but different from double layer materials. The consistency of these results with experiment suggests that the pseudogap is well described by strong short-range correlation effects.
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Affiliation(s)
- Xi Chen
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - J P F LeBlanc
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.,Department of Physics and Physical Oceanography, The Memorial University of Newfoundland, St John's, Newfoundland and Labrador, Canada, A1B 3X9
| | - Emanuel Gull
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
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Chen X, LeBlanc JPF, Gull E. Superconducting fluctuations in the normal state of the two-dimensional Hubbard model. PHYSICAL REVIEW LETTERS 2015; 115:116402. [PMID: 26406843 DOI: 10.1103/physrevlett.115.116402] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/14/2015] [Indexed: 06/05/2023]
Abstract
We compute the two-particle quantities relevant for superconducting correlations in the two-dimensional Hubbard model within the dynamical cluster approximation. In the normal state we identify the parameter regime in density, interaction, and second-nearest-neighbor hopping strength that maximizes the d_{x^{2}-y^{2}} superconducting transition temperature. We find in all cases that the optimal transition temperature occurs at intermediate coupling strength, and is suppressed at strong and weak interaction strengths. Similarly, superconducting fluctuations are strongest at intermediate doping and suppressed towards large doping and half filling. We find a change in sign of the vertex contributions to d_{xy} superconductivity from repulsive near half filling to attractive at large doping. p-wave superconductivity is not found at the parameters we study, and s-wave contributions are always repulsive. For negative second-nearest-neighbor hopping the optimal transition temperature shifts towards the electron-doped side in opposition to the van Hove singularity, which moves towards hole doping. We surmise that an increase of the local interaction of the electron-doped compounds would increase T_{c}.
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Affiliation(s)
- Xi Chen
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - J P F LeBlanc
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - Emanuel Gull
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
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Khatami E, Singh RRP, Pickett WE, Scalettar RT. Magnetic correlations and pairing in the 1/5-depleted square lattice Hubbard model. PHYSICAL REVIEW LETTERS 2014; 113:106402. [PMID: 25238374 DOI: 10.1103/physrevlett.113.106402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/15/2014] [Indexed: 06/03/2023]
Abstract
We study the single-orbital Hubbard model on the 1/5-depleted square-lattice geometry, which arises in such diverse systems as the spin-gap magnetic insulator CaV4O9 and ordered-vacancy iron selenides, presenting new issues regarding the origin of both magnetic ordering and superconductivity in these materials. We find a rich phase diagram that includes a plaquette singlet phase, a dimer singlet phase, a Néel and a block-spin antiferromagnetic phase, and stripe phases. Quantum Monte Carlo simulations show that the dominant pairing correlations at half filling change character from d wave in the plaquette phase to extended s wave upon transition to the Néel phase. These findings have intriguing connections to iron-based superconductors, and suggest that some physics of multiorbital systems can be captured by a single-orbital model at different dopings.
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Affiliation(s)
- Ehsan Khatami
- Department of Physics, University of California, Davis, California 95616, USA and Department of Physics and Astronomy, San Jose State University, San Jose, California 95192, USA
| | - Rajiv R P Singh
- Department of Physics, University of California, Davis, California 95616, USA
| | - Warren E Pickett
- Department of Physics, University of California, Davis, California 95616, USA
| | - Richard T Scalettar
- Department of Physics, University of California, Davis, California 95616, USA
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Kusunose H, Rice TM. Single-particle spectrum in the electron-doped cuprates. PHYSICAL REVIEW LETTERS 2003; 91:186407. [PMID: 14611300 DOI: 10.1103/physrevlett.91.186407] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/02/2003] [Indexed: 05/24/2023]
Abstract
We study the evolution of the single-particle spectrum with electron doping in a scheme which adds multiple exchange of transverse spin excitations to the mean-field antiferromagnetic insulator. Away from half-filling small Fermi surface pockets appear first around the X points, and simultaneously new spectral weight grows in the insulating gap. With further doping the in-gap states develop the character of a renormalized quasiparticle band near the chemical potential. The essential features in momentum-energy space agree well with recent studies using angle-resolved photoemission spectroscopy on electron-doped cuprates. We interpret the origins and the nature of the in-gap states using a simple variational wave function.
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Affiliation(s)
- Hiroaki Kusunose
- Institut für Theoretische Physik, ETH-Hönggerberg, CH-8093 Zürich, Switzerland
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Li JX. Test for pairing symmetry based on spin fluctuations in the organic superconductor kappa-(BEDT-TTF)2X. PHYSICAL REVIEW LETTERS 2003; 91:037002. [PMID: 12906440 DOI: 10.1103/physrevlett.91.037002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/12/2002] [Indexed: 05/24/2023]
Abstract
We propose that the superconducting pairing symmetry of organic superconductors kappa-(BEDT-TTF)2X can be determined by measuring the position in momentum space of the incommensurate peaks of the spin susceptibility. Using the weak coupling BCS theory and including the many-body effects via the random-phase approximation for the Hubbard model on an anisotropic triangular lattice, we show that the position of these peaks is uniquely determined by the pairing symmetry of the superconducting state and the geometry of the Fermi surface. We demonstrate the different incommensurate patterns of spin responses for d(x(2)-y(2-)) and d(xy)-like pairing states. In addition, we find that there is no spin resonance mode in the reasonable range of parameters discussed.
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Affiliation(s)
- Jian-Xin Li
- National Laboratory of Solid States of Microstructure and Department of Physics, Nanjing University, Nanjing 210093, China
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Schüttler H, Norman MR. Contrasting dynamic spin susceptibility models and their relation to high-temperature superconductivity. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:13295-13305. [PMID: 9985193 DOI: 10.1103/physrevb.54.13295] [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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Dahm T. Anisotropy of the quasiparticle damping in the high-Tc superconductors Bi2Sr2CaCu2O8 and YBa2Cu3O6.9 as seen from angle-resolved photoemission experiments. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:10150-10154. [PMID: 9984755 DOI: 10.1103/physrevb.54.10150] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Puig-Puig L, López-Aguilar F. Electronic structure and superconductivity in strongly correlated systems in the pseudogap regime. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:17143-17152. [PMID: 9981140 DOI: 10.1103/physrevb.52.17143] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Veilleux AF, Daré AM, Chen L, Vilk YM, Tremblay A. Magnetic and pair correlations of the Hubbard model with next-nearest-neighbor hopping. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:16255-16263. [PMID: 9981013 DOI: 10.1103/physrevb.52.16255] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dahm T, Tewordt L. Physical quantities in nearly antiferromagnetic and superconducting states of the two-dimensional Hubbard model and comparison with cuprate superconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:1297-1308. [PMID: 9980710 DOI: 10.1103/physrevb.52.1297] [Citation(s) in RCA: 56] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Eder R, Ohta Y. Spin and charge dynamics of the two-dimensional t-J model at intermediate electron densities: Absence of spin-charge separation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:11683-11689. [PMID: 9977905 DOI: 10.1103/physrevb.51.11683] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Kostur VN, Mitrović B. Superconducting Tc for a model spin-fluctuation spectrum with four sharp peaks in the corners of the Brillouin zone. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:6064-6075. [PMID: 9979524 DOI: 10.1103/physrevb.51.6064] [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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Quinlan SM, Scalapino DJ. Neutron scattering from a dx2-y2-wave superconductor with strong impurity scattering and Coulomb correlations. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:497-504. [PMID: 9977110 DOI: 10.1103/physrevb.51.497] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Bulut N, Scalapino DJ. Neutron scattering in a dx2-y2-wave superconductor. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:16078-16081. [PMID: 9975983 DOI: 10.1103/physrevb.50.16078] [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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Kostur VN, Mitrovic B. Calculations of the superconducting critical temperature with vertex corrections. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:12774-12787. [PMID: 9975445 DOI: 10.1103/physrevb.50.12774] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Bulut N, Scalapino DJ, White SR. Effective electron-electron interaction in the two-dimensional Hubbard model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:9623-9626. [PMID: 9975026 DOI: 10.1103/physrevb.50.9623] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chen YC, Moreo A, Ortolani F, Dagotto E, Lee TK. Spin-charge separation in the two-dimensional Hubbard and t-J models at low electronic density. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:655-658. [PMID: 9974603 DOI: 10.1103/physrevb.50.655] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Vilk YM, Chen L, Tremblay A. Theory of spin and charge fluctuations in the Hubbard model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:13267-13270. [PMID: 10010256 DOI: 10.1103/physrevb.49.13267] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chen L, Tremblay A. Comment on "Magnetic susceptibility of the two-dimensional Hubbard model". PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:4338-4340. [PMID: 10011340 DOI: 10.1103/physrevb.49.4338] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Daré AM, Chen L, Tremblay A. Comparisons between Monte Carlo simulations and a simple crossing-symmetric approach to the Hubbard model at low density. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:4106-4118. [PMID: 10011308 DOI: 10.1103/physrevb.49.4106] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dahm T, Tewordt L, Wermbter S. Spin mode, electrical resistivity, and thermal conductivity for the two-dimensional Hubbard model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:748-751. [PMID: 10009358 DOI: 10.1103/physrevb.49.748] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Radtke RJ, Levin K, Schüttler H, Norman MR. Role of Van Hove singularities and momentum-space structure in high-temperature superconductivity. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:15957-15965. [PMID: 10008155 DOI: 10.1103/physrevb.48.15957] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wermbter S, Tewordt L. Self-consistent calculation of the electronic spectrum and the dynamic spin susceptibility for the two-dimensional Hubbard model. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:10514-10519. [PMID: 10007329 DOI: 10.1103/physrevb.48.10514] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Radtke RJ, Levin K, Schüttler H, Norman MR. Predictions for impurity-induced Tc suppression in the high-temperature superconductors. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:653-656. [PMID: 10006833 DOI: 10.1103/physrevb.48.653] [Citation(s) in RCA: 157] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Bénard P, Chen L, Tremblay A. Magnetic neutron scattering from two-dimensional lattice electrons: The case of La2-xSrxCuO4. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:15217-15241. [PMID: 10005896 DOI: 10.1103/physrevb.47.15217] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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