DMFT+Sigma approach to disordered Hubbard model

TL;DR

This paper reviews the DMFT+Sigma approach to disordered Hubbard models, analyzing metal-insulator transitions, BCS-BEC crossover, and effects of disorder on superconductivity and electronic properties.

Contribution

It provides a unified review of the DMFT+Sigma method applied to both repulsive and attractive disordered Hubbard models, highlighting universality and disorder effects.

Findings

Universal behavior of single-electron properties under disorder

Comparison of density of states and conductivity in both models

Disorder effects on superconducting critical temperature and Ginzburg-Landau coefficients

Abstract

We briefly review the generalized dynamical mean-field theory DMFT+Sigma treatment of both repulsive and attractive disordered Hubbard models. We examine the general problem of metal-insulator transition and the phase diagram in repulsive case, as well as BCS-BEC crossover region of attractive model, demonstrating certain universality of single - electron properties under disordering in both models. We also discuss and compare the results for the density of states and dynamic conductivity in both repulsive and attractive case and the generalized Anderson theorem behavior for superconducting critical temperature in disordered attractive case. A brief discussion of Ginzburg - Landau coefficients behavior under disordering in BCS-BEC crossover region is also presented.