Mean-field theories for disordered electrons: Diffusion pole and Anderson localization

dc.creatorJanis, V.
dc.creatorKolorenc, J.
dc.date2005-01-25
dc.date.accessioned2026-07-07T10:02:56Z
dc.date.available2026-07-07T10:02:56Z
dc.descriptionWe discuss conditions to be put on mean-field-like theories to be able to describe fundamental physical phenomena in disordered electron systems. In particular, we investigate options for a consistent mean-field theory of electron localization and for a reliable description of transport properties. We argue that a mean-field theory for the Anderson localization transition must be electron-hole symmetric and self-consistent at the two-particle (vertex) level. We show that such a theory with local equations can be derived from the asymptotic limit to high spatial dimensions. The weight of the diffusion pole, i. e., the number of diffusive states at the Fermi energy, in this mean-field theory decreases with the increasing disorder strength and vanishes in the localized phase. Consequences of the disclosed behavior for our understanding of vanishing of electron diffusion are discussed.
dc.descriptionREVTeX4, 11 pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0501586
dc.identifierhttp://arxiv.org/abs/cond-mat/0501586
dc.identifierPhys. Rev. B71, 245106 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.245106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169148
dc.subjectDisordered Systems and Neural Networks
dc.subjectStrongly Correlated Electrons
dc.titleMean-field theories for disordered electrons: Diffusion pole and Anderson localization
dc.typetext

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