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

Journal of Magnetism and Magnetic Materials

Cluster approximation to the Anderson and to the Hubbard model

A. Ziegler

Published Feb 1, 1992• 4 citations
Publisher
DOI
10.1016/0304-8853(92)90976-u

Related papers

Hubbard models on general lattices: A dynamical cluster approximation approach

Jakub Imriška

•Jan 1, 2016•0 citations

Dynamical Cluster Approximation Calculation of the Three-Band Hubbard Model

Alexandru Macridin, Mark Jarrell, Thomas Maier +1 more

APS•Mar 1, 2002•0 citations

Analysis of the Dynamical Cluster Approximation for the Triangular Lattice Hubbard Model

Christopher N. Varney, Richard T. Scalettar, Mark Jarrell +2 more

Bulletin of the American Physical Society•Mar 7, 2007•0 citations

Phase diagram in two-dimensional Hubbard model: variational cluster approximation

ARMEN N. KOCHARIAN, Kun Fang, Gayanath Fernando +2 more

Bulletin of the American Physical Society•Mar 5, 2014•0 citations

On a cluster approach to the hubbard model

J. Monecke

physica status solidi (b)•May 1, 1973•9 citations

Dual-fermion approach to the Anderson-Hubbard model

Patrick Haase, Shuxiang Yang, Thomas Pruschke +2 more

We apply the recently developed dual-fermion algorithm for disordered interacting systems to the Anderson-Hubbard model. This algorithm is compared with dynamical cluster approximation calculations for a one-dimensional system to establish the quality of the approximation in comparison with an established cluster method. We continue with a three-dimensional (3D) system and look at the antiferromagnetic, Mott, and Anderson localization transitions. The dual-fermion approach leads to quantitative as well as qualitative improvement of the dynamical mean-field results, and it allows one to calculate the hysteresis in the double occupancy in 3D, taking into account nonlocal correlations.

arXiv:1604.08138•Physical review. B./Physical review. B•Jan 18, 2017•8 citations
We apply the recently developed dual-fermion algorithm for disordered interacting systems to the Anderson-Hubbard model. This algorithm is compared with dynamical cluster approximation calculations for a one-dimensional system to establish the quality of the approximation in comparison with an established cluster method. We continue with a three-dimensional (3D) system and look at the antiferromagnetic, Mott, and Anderson localization transitions. The dual-fermion approach leads to quantitative as well as qualitative improvement of the dynamical mean-field results, and it allows one to calculate the hysteresis in the double occupancy in 3D, taking into account nonlocal correlations.