Dual-fermion approach to the Anderson-Hubbard model

Abstract

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.

References in corpus (6)

• Continuous-time Monte Carlo methods for quantum impurity models
• Continuous-time auxiliary field Monte Carlo for quantum impurity models
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• Finite Cluster Typical Medium Theory for Disordered Electronic Systems
• Dual Fermion Method for Disordered Electronic Systems
• Dual-fermion approach to interacting disordered fermion systems

Cited by in corpus (5)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Understanding disorder in 2D materials: the case of carbon doping of Silicene
• Second-order dual fermion for multi-orbital systems
• Phase transitions in the binary-alloy Hubbard model: insight from strong-coupling perturbation theory
• Strong-coupling perturbative study of the disordered Hubbard model on honeycomb lattice