Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica C Superconductivity

Quantum Monte Carlo study of pairing correlations in two-dimensional extended one-band and three-band Hubbard models

James E. Gubernatis, M. Guerrero, Hua Lin, Zhongbing Huang

Published Nov 1, 2001• 0 citations
Publisher
DOI
10.1016/s0921-4534(01)00731-6

Related papers

Doping and temperature dependence of pairing correlations in the two-dimensional Hubbard model: a determinant quantum Monte Carlo study

Saptarshi Ghosh

The European Physical Journal B•Jun 1, 2026•0 citations

Quantum-Monte-Carlo Studies of One- and Two-Dimensional Hubbard Models

R. Preuss, Fakher F. Assaad, A. Muramatsu +1 more

NATO ASI series. Series B : Physics•Jan 1, 1995•1 citation

Quantum Monte Carlo Simulations of a CuO2 Model

Richard T. Scalettar, Douglas J. Scalapino, Robert L. Sugar +1 more

The nature of the pairing mechanism responsible for high-temperature superconductivity remains a central theoretical puzzle in condensed matter physics. Here we discuss the properties of the two-dimensional CuO 2 layers common to these materials in terms of a three- band Hubbard model. We describe how recently devel oped quantum Monte Carlo simulation techniques al low one to calculate the physical properties of strongly interacting many-electron systems and discuss the re sources required for such simulations. Then we review what we have learned from these simulations about the antiferromagnetic, charge-transfer, and supercon ducting correlations in the three-band Hubbard model. We conclude with a discussion of future goals.

The International Journal of High Performance Computing Applications•Sep 1, 1991•0 citations

Comment on “Quantum Monte Carlo Evidence for Superconductivity in the Three-Band Hubbard Model in Two Dimensions”

H. Endres, Werner R. Hanke, Hans Gerd Evertz +1 more

In a recent Letter, Kuroki and Aoki [Phys. Rev. Lett. 76, 440 (1996)] presented quantum Monte-Carlo (QMC) results for pairing correlations in the three-band Hubbard model, which describes the Cu-d_{x^2-y^2} and O-p_{x,y} orbitals present in the CuO_2 planes of high-T_c materials. In this comment we argue that (i) the used parameter set is not appropriate for the description of high-T_c materials since it does not satisfy the minimal requirement of a charge-transfer gap at half-filling, and (ii) the observed increase in the d_{x^2-y^2} channel is dominantly produced by the pair-field correlations without the vertex part. Hence, the claim of evidence of ODLRO is not justified.

arXiv:cond-mat/9609219•Physical Review Letters•Jan 6, 1997•6 citations

Magnetic and pairing correlations in a three band Hubbard model

Richard T. Scalettar

Physica C Superconductivity•Dec 1, 1989•15 citations

Quantum Monte Carlo Evidence for Superconductivity in the Three-Band Hubbard Model in Two Dimensions

Kazuhiko Kuroki, Hideo Aoki

A possibility of the electronic origin of the high-temperature superconductivity in cuprates is probed with the quantum Monte Carlo method by revisiting the three-band Hubbard model comprising Cu ${3d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ and O ${2p}_{\ensuremath{\sigma}}$ orbitals. The ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing correlation is found to turn into an increasing function of the repulsion ${U}_{d}$ within the $d$ orbitals or the $d$- $p$ level offset $\ensuremath{\Delta}\ensuremath{\varepsilon}$, where the normalized correlation grows with the system size. We have detected this in both the charge-transfer and Mott-Hubbard regimes upon entering the strong-correlation region ( ${U}_{d}$ or $\ensuremath{\Delta}\ensuremath{\varepsilon}>$ bare bandwidth).

arXiv:cond-mat/9512091•Physical Review Letters•Jun 3, 1996•32 citations
The nature of the pairing mechanism responsible for high-temperature superconductivity remains a central theoretical puzzle in condensed matter physics. Here we discuss the properties of the two-dimensional CuO 2 layers common to these materials in terms of a three- band Hubbard model. We describe how recently devel oped quantum Monte Carlo simulation techniques al low one to calculate the physical properties of strongly interacting many-electron systems and discuss the re sources required for such simulations. Then we review what we have learned from these simulations about the antiferromagnetic, charge-transfer, and supercon ducting correlations in the three-band Hubbard model. We conclude with a discussion of future goals.
In a recent Letter, Kuroki and Aoki [Phys. Rev. Lett. 76, 440 (1996)] presented quantum Monte-Carlo (QMC) results for pairing correlations in the three-band Hubbard model, which describes the Cu-d_{x^2-y^2} and O-p_{x,y} orbitals present in the CuO_2 planes of high-T_c materials. In this comment we argue that (i) the used parameter set is not appropriate for the description of high-T_c materials since it does not satisfy the minimal requirement of a charge-transfer gap at half-filling, and (ii) the observed increase in the d_{x^2-y^2} channel is dominantly produced by the pair-field correlations without the vertex part. Hence, the claim of evidence of ODLRO is not justified.
A possibility of the electronic origin of the high-temperature superconductivity in cuprates is probed with the quantum Monte Carlo method by revisiting the three-band Hubbard model comprising Cu ${3d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ and O ${2p}_{\ensuremath{\sigma}}$ orbitals. The ${d}_{{x}^{2}{\ensuremath{-}y}^{2}}$ pairing correlation is found to turn into an increasing function of the repulsion Ud{U}_{d}Ud​ within the ddd orbitals or the ddd- ppp level offset $\ensuremath{\Delta}\ensuremath{\varepsilon}$, where the normalized correlation grows with the system size. We have detected this in both the charge-transfer and Mott-Hubbard regimes upon entering the strong-correlation region ( Ud{U}_{d}Ud​ or $\ensuremath{\Delta}\ensuremath{\varepsilon}>$ bare bandwidth).