Vertex corrections to the mean-field electrical conductivity in strongly disordered electron systems

Abstract

Mean-field theory of non-interacting disordered electron systems is widely and successfully used to describe equilibrium properties of alloys in the whole range of disorder strengths. It, however, fails to take into account effects of quantum coherence and localizing back-scattering effects when applied to transport phenomena. We present an approximate scheme extending the mean-field theory for one-electron properties in that it offers a formula for the two-particle vertex and the electrical conductivity non-perturbatively including the leading-order vertex corrections in a way that the approximation remains consistent and the conductivity non-negative in all disorder regimes.

arXiv comment10 pages, 7 figures

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Cited by in corpus (5)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Critical metal-insulator transition and divergence in a two-particle irreducible vertex in disordered and interacting electron systems
• Nonlocal correlations and spectral properties of the Falicov-Kimball model
• Parquet dual fermion approach for the Falicov-Kimball model
• Local correlation functions of arbitrary order for the Falicov-Kimball model