DMFT+Sigma approach to disordered Hubbard model

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.

14 pages, 14, figures. Submitted to special issue of JETP to commemorate 85th anniversary of Leonid V. Keldysh. arXiv admin note: text overlap with arXiv:1411.1547

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Cited by in corpus (4)

• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Temperature dependence of the upper critical field in disordered Hubbard model with attraction
• Ginzburg - Landau expansion in strongly disordered attractive Anderson - Hubbard model
• Ginzburg-Landau expansion and the upper critical field in disordered attractive Hubbard model