Fidelity study of superconductivity in extended Hubbard models
Abstract
The Hubbard model with local on-site repulsion is generally thought to possess a superconducting ground state for appropriate parameters, but the effects of more realistic long-range Coulomb interactions have not been studied extensively. We study the influence of these interactions on superconductivity by including nearest- and next-nearest-neighbor extended Hubbard interactions in addition to the usual on-site terms. Utilizing numerical exact diagonalization, we analyze the signatures of superconductivity in the ground states through the fidelity metric of quantum information theory. Finally, we find that nearest and next-nearest neighbor interactions have thresholds above which they destabilize superconductivity regardless of whether they are attractive or repulsive, seemingly due to competing charge fluctuations.
- Authors:
-
- Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of North Dakota, Grand Forks, ND (United States)
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1335092
- Alternate Identifier(s):
- OSTI ID: 1198624
- Report Number(s):
- SLAC-PUB-16742
Journal ID: ISSN 1098-0121; PRBMDO; arXiv:1505.01127
- Grant/Contract Number:
- AC02-76SF00515; SC0007091; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 2; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; MATSCI
Citation Formats
Plonka, N., Jia, C. J., Wang, Y., Moritz, B., and Devereaux, T. P. Fidelity study of superconductivity in extended Hubbard models. United States: N. p., 2015.
Web. doi:10.1103/PhysRevB.92.024503.
Plonka, N., Jia, C. J., Wang, Y., Moritz, B., & Devereaux, T. P. Fidelity study of superconductivity in extended Hubbard models. United States. https://doi.org/10.1103/PhysRevB.92.024503
Plonka, N., Jia, C. J., Wang, Y., Moritz, B., and Devereaux, T. P. Wed .
"Fidelity study of superconductivity in extended Hubbard models". United States. https://doi.org/10.1103/PhysRevB.92.024503. https://www.osti.gov/servlets/purl/1335092.
@article{osti_1335092,
title = {Fidelity study of superconductivity in extended Hubbard models},
author = {Plonka, N. and Jia, C. J. and Wang, Y. and Moritz, B. and Devereaux, T. P.},
abstractNote = {The Hubbard model with local on-site repulsion is generally thought to possess a superconducting ground state for appropriate parameters, but the effects of more realistic long-range Coulomb interactions have not been studied extensively. We study the influence of these interactions on superconductivity by including nearest- and next-nearest-neighbor extended Hubbard interactions in addition to the usual on-site terms. Utilizing numerical exact diagonalization, we analyze the signatures of superconductivity in the ground states through the fidelity metric of quantum information theory. Finally, we find that nearest and next-nearest neighbor interactions have thresholds above which they destabilize superconductivity regardless of whether they are attractive or repulsive, seemingly due to competing charge fluctuations.},
doi = {10.1103/PhysRevB.92.024503},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 2,
volume = 92,
place = {United States},
year = {Wed Jul 08 00:00:00 EDT 2015},
month = {Wed Jul 08 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
A common thread: The pairing interaction for unconventional superconductors
journal, October 2012
- Scalapino, D. J.
- Reviews of Modern Physics, Vol. 84, Issue 4
New Mechanism for Superconductivity
journal, September 1965
- Kohn, W.; Luttinger, J. M.
- Physical Review Letters, Vol. 15, Issue 12
Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution
journal, June 2010
- Raghu, S.; Kivelson, S. A.; Scalapino, D. J.
- Physical Review B, Vol. 81, Issue 22
Systematic Study of -Wave Superconductivity in the 2D Repulsive Hubbard Model
journal, November 2005
- Maier, T. A.; Jarrell, M.; Schulthess, T. C.
- Physical Review Letters, Vol. 95, Issue 23
Quantum cluster theories
journal, October 2005
- Maier, Thomas; Jarrell, Mark; Pruschke, Thomas
- Reviews of Modern Physics, Vol. 77, Issue 3
Strongly correlated superconductivity: A plaquette dynamical mean-field theory study
journal, September 2007
- Haule, Kristjan; Kotliar, Gabriel
- Physical Review B, Vol. 76, Issue 10
The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987
- Anderson, P. W.
- Science, Vol. 235, Issue 4793
Doping dependence of antiferromagnetism in Cu : A numerical study based on a resonating-valence-bond state
journal, December 1988
- Lee, T. K.; Feng, Shiping
- Physical Review B, Vol. 38, Issue 16
Effects of strong correlations and disorder in -wave superconductors
journal, February 2009
- Rigol, Marcos; Shastry, B. Sriram; Haas, Stephan
- Physical Review B, Vol. 79, Issue 5
Fidelity and superconductivity in two-dimensional models
journal, September 2009
- Rigol, Marcos; Shastry, B. Sriram; Haas, Stephan
- Physical Review B, Vol. 80, Issue 9
Fidelity study of the superconducting phase diagram in the two-dimensional single-band Hubbard model
journal, September 2011
- Jia, C. J.; Moritz, B.; Chen, C. -C.
- Physical Review B, Vol. 84, Issue 12
Effective Coulomb interactions between doped carriers in the high- cuprates
journal, May 1995
- Feiner, L. F.; Jefferson, J. H.; Raimondi, R.
- Physical Review B, Vol. 51, Issue 18
Unconventional High-Temperature Superconductivity from Repulsive Interactions: Theoretical Constraints
journal, March 2011
- Alexandrov, A. S.; Kabanov, V. V.
- Physical Review Letters, Vol. 106, Issue 13
Hole pairs in a spin liquid: Influence of electrostatic hole-hole repulsion
journal, January 1999
- Gazza, Claudio; Martins, George B.; Riera, José
- Physical Review B, Vol. 59, Issue 2
Phase diagram of the two-dimensional extended Hubbard model: Phase transitions between different pairing symmetries when charge and spin fluctuations coexist
journal, September 2004
- Onari, Seiichiro; Arita, Ryotaro; Kuroki, Kazuhiko
- Physical Review B, Vol. 70, Issue 9
Optimal of cuprates: The role of screening and reservoir layers
journal, September 2012
- Raghu, S.; Thomale, R.; Geballe, T. H.
- Physical Review B, Vol. 86, Issue 9
On the theory of superconductivity in the extended Hubbard model: Spin-fluctuation pairing
journal, March 2013
- Plakida, Nikolay M.; Oudovenko, Viktor S.
- The European Physical Journal B, Vol. 86, Issue 3
Resilience of -wave superconductivity to nearest-neighbor repulsion
journal, February 2013
- Sénéchal, D.; Day, A. G. R.; Bouliane, V.
- Physical Review B, Vol. 87, Issue 7
Superconductivity in a narrow-band system with intersite electron pairing in two dimensions: A mean-field study
journal, June 1988
- Micnas, R.; Ranninger, J.; Robaszkiewicz, S.
- Physical Review B, Vol. 37, Issue 16
A minimal model of striped superconductors
journal, December 2001
- Martin, I.; Ortiz, G.; Balatsky, A. V.
- Europhysics Letters (EPL), Vol. 56, Issue 6
Spin-density wave and superconductivity in an extended two-dimensional Hubbard model with nearest-neighbor attraction
journal, October 2001
- Su, W. P.; Chen, Yan
- Physical Review B, Vol. 64, Issue 17
Ground state overlap and quantum phase transitions
journal, September 2006
- Zanardi, Paolo; Paunković, Nikola
- Physical Review E, Vol. 74, Issue 3
Fidelity and quantum phase transition for the Heisenberg chain with next-nearest-neighbor interaction
journal, December 2007
- Chen, Shu; Wang, Li; Gu, Shi-Jian
- Physical Review E, Vol. 76, Issue 6
Quantum Critical Scaling of the Geometric Tensors
journal, August 2007
- Campos Venuti, Lorenzo; Zanardi, Paolo
- Physical Review Letters, Vol. 99, Issue 9
Fidelity, dynamic structure factor, and susceptibility in critical phenomena
journal, August 2007
- You, Wen-Long; Li, Ying-Wai; Gu, Shi-Jian
- Physical Review E, Vol. 76, Issue 2
Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
journal, March 2007
- Buonsante, P.; Vezzani, A.
- Physical Review Letters, Vol. 98, Issue 11
Quantum phase transitions and quantum fidelity in free fermion graphs
journal, January 2007
- Cozzini, Marco; Giorda, Paolo; Zanardi, Paolo
- Physical Review B, Vol. 75, Issue 1
Fidelity approach to the Hubbard model
journal, September 2008
- Campos Venuti, L.; Cozzini, M.; Buonsante, P.
- Physical Review B, Vol. 78, Issue 11
Fidelity analysis of topological quantum phase transitions
journal, July 2008
- Abasto, Damian F.; Hamma, Alioscia; Zanardi, Paolo
- Physical Review A, Vol. 78, Issue 1
Scaling dimension of fidelity susceptibility in quantum phase transitions
journal, July 2009
- Gu, Shi-Jian; Lin, Hai-Qing
- EPL (Europhysics Letters), Vol. 87, Issue 1
Fidelity Approach to the Disordered Quantum Model
journal, February 2009
- Garnerone, Silvano; Jacobson, N. Tobias; Haas, Stephan
- Physical Review Letters, Vol. 102, Issue 5
Fidelity in topological quantum phases of matter
journal, March 2009
- Garnerone, Silvano; Abasto, Damian; Haas, Stephan
- Physical Review A, Vol. 79, Issue 3
ARPACK Users' Guide
book, January 1998
- Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
- Software, Environments, and Tools
Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors
journal, October 1962
- Yang, C. N.
- Reviews of Modern Physics, Vol. 34, Issue 4
Quantum computing
journal, February 1998
- Steane, Andrew
- Reports on Progress in Physics, Vol. 61, Issue 2
Quantum information and computation
journal, March 2000
- Bennett, Charles H.; DiVincenzo, David P.
- Nature, Vol. 404, Issue 6775
Bose-Einstein Condensation and Liquid Helium
journal, November 1956
- Penrose, Oliver; Onsager, Lars
- Physical Review, Vol. 104, Issue 3
Charge-Density-Wave to Spin-Density-Wave Transition in the Extended Hubbard Model
journal, December 1984
- Hirsch, J. E.
- Physical Review Letters, Vol. 53, Issue 24
Extended Hubbard model in two dimensions
journal, May 1989
- Zhang, Y.; Callaway, J.
- Physical Review B, Vol. 39, Issue 13
Non-perturbative treatment of charge and spin fluctuations in the two-dimensional extended Hubbard model: Extended two-particle self-consistent approach
journal, August 2007
- Davoudi, B.; Tremblay, A. -M. S.
- Physical Review B, Vol. 76, Issue 8
Origin of the charge density wave in coupled spin ladders in
journal, May 2007
- Wohlfeld, Krzysztof; Oleś, Andrzej M.; Sawatzky, George A.
- Physical Review B, Vol. 75, Issue 18
model of coupled ladders in
journal, June 2010
- Wohlfeld, Krzysztof; Oleś, Andrzej M.; Sawatzky, George A.
- Physical Review B, Vol. 81, Issue 21
Real-Space Visualization of Remnant Mott Gap and Magnon Excitations
journal, April 2014
- Wang, Y.; Jia, C. J.; Moritz, B.
- Physical Review Letters, Vol. 112, Issue 15
Density wave instabilities in a correlated two-dimensional metal
journal, October 2014
- Allais, Andrea; Bauer, Johannes; Sachdev, Subir
- Physical Review B, Vol. 90, Issue 15
Works referencing / citing this record:
Charge ordering and nonlocal correlations in the doped extended Hubbard model
journal, March 2018
- Terletska, Hanna; Chen, Tianran; Paki, Joseph
- Physical Review B, Vol. 97, Issue 11
Charge ordering and correlation effects in the extended Hubbard model
text, January 2016
- Terletska, Hanna; Chen, Tianran; Gull, Emanuel
- arXiv
Charge ordering and non-local correlations in the doped extended Hubbard model
text, January 2018
- Terletska, Hanna; Chen, Tianran; Paki, Joseph
- arXiv