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Title: 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:
 [1];  [1];  [1];  [2];  [3]
  1. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of North Dakota, Grand Forks, ND (United States)
  3. 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}
}

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Cited by: 7 works
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Works referenced in this record:

A common thread: The pairing interaction for unconventional superconductors
journal, October 2012


New Mechanism for Superconductivity
journal, September 1965


Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution
journal, June 2010


Systematic Study of d -Wave Superconductivity in the 2D Repulsive Hubbard Model
journal, November 2005


Quantum cluster theories
journal, October 2005


Strongly correlated superconductivity: A plaquette dynamical mean-field theory study
journal, September 2007


The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987


Doping dependence of antiferromagnetism in La 2 Cu O 4 : A numerical study based on a resonating-valence-bond state
journal, December 1988


Effects of strong correlations and disorder in d -wave superconductors
journal, February 2009


Fidelity and superconductivity in two-dimensional t J models
journal, September 2009


Fidelity study of the superconducting phase diagram in the two-dimensional single-band Hubbard model
journal, September 2011


Effective Coulomb interactions between doped carriers in the high- T c cuprates
journal, May 1995


Unconventional High-Temperature Superconductivity from Repulsive Interactions: Theoretical Constraints
journal, March 2011


Hole pairs in a spin liquid: Influence of electrostatic hole-hole repulsion
journal, January 1999


Optimal T c of cuprates: The role of screening and reservoir layers
journal, September 2012


On the theory of superconductivity in the extended Hubbard model: Spin-fluctuation pairing
journal, March 2013


Resilience of d -wave superconductivity to nearest-neighbor repulsion
journal, February 2013


Superconductivity in a narrow-band system with intersite electron pairing in two dimensions: A mean-field study
journal, June 1988


A minimal model of striped superconductors
journal, December 2001


Ground state overlap and quantum phase transitions
journal, September 2006


Fidelity and quantum phase transition for the Heisenberg chain with next-nearest-neighbor interaction
journal, December 2007


Quantum Critical Scaling of the Geometric Tensors
journal, August 2007


Fidelity, dynamic structure factor, and susceptibility in critical phenomena
journal, August 2007


Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
journal, March 2007


Quantum phase transitions and quantum fidelity in free fermion graphs
journal, January 2007


Fidelity approach to the Hubbard model
journal, September 2008


Fidelity analysis of topological quantum phase transitions
journal, July 2008


Scaling dimension of fidelity susceptibility in quantum phase transitions
journal, July 2009


Fidelity Approach to the Disordered Quantum X Y Model
journal, February 2009


Fidelity in topological quantum phases of matter
journal, March 2009


ARPACK Users' Guide
book, January 1998


Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors
journal, October 1962


Quantum computing
journal, February 1998


Quantum information and computation
journal, March 2000

  • Bennett, Charles H.; DiVincenzo, David P.
  • Nature, Vol. 404, Issue 6775
  • DOI: 10.1038/35005001

Bose-Einstein Condensation and Liquid Helium
journal, November 1956


Charge-Density-Wave to Spin-Density-Wave Transition in the Extended Hubbard Model
journal, December 1984


Extended Hubbard model in two dimensions
journal, May 1989


Origin of the charge density wave in coupled spin ladders in Sr 14 x Ca x Cu 24 O 41
journal, May 2007

  • Wohlfeld, Krzysztof; Oleś, Andrzej M.; Sawatzky, George A.
  • Physical Review B, Vol. 75, Issue 18
  • DOI: 10.1103/PhysRevB.75.180501

t J model of coupled Cu 2 O 5 ladders in Sr 14 x Ca x Cu 24 O 41
journal, June 2010

  • Wohlfeld, Krzysztof; Oleś, Andrzej M.; Sawatzky, George A.
  • Physical Review B, Vol. 81, Issue 21
  • DOI: 10.1103/PhysRevB.81.214522

Real-Space Visualization of Remnant Mott Gap and Magnon Excitations
journal, April 2014


Density wave instabilities in a correlated two-dimensional metal
journal, October 2014


Works referencing / citing this record:

Charge ordering and nonlocal correlations in the doped extended Hubbard model
journal, March 2018


Charge ordering and correlation effects in the extended Hubbard model
text, January 2016


Charge ordering and non-local correlations in the doped extended Hubbard model
text, January 2018