Self-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions

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dc.creatorHenseler, Peter
dc.creatorKroha, Johann
dc.creatorShapiro, Boris
dc.date2008-08-27
dc.date2008-12-08
dc.date.accessioned2026-07-07T12:22:09Z
dc.date.available2026-07-07T12:22:09Z
dc.descriptionWe consider the change in electron localization due to the presence of electron-electron repulsion in the \HA model. Taking into account local Mott-Hubbard physics and static screening of the disorder potential, the system is mapped onto an effective single-particle Anderson model, which is studied within the self-consistent theory of electron localization. We find rich nonmonotonic behavior of the localization length $ξ$ in two-dimensional systems, including an interaction-induced exponential enhancement of $ξ$ for small and intermediate disorders although $ξ$ remains finite. In three dimensions we identify for half filling a Mott-Hubbard-assisted Anderson localized phase existing between the metallic and the Mott-Hubbard-gapped phases. For small $U$ there is re-entrant behavior from the Anderson localized phase to the metallic phase.
dc.description7 pages, 4 figures, accepted for publication in Phys. Rev. B, journal version
dc.identifierhttps://arxiv.org/abs/0808.3734
dc.identifierhttp://arxiv.org/abs/0808.3734
dc.identifierPhys. Rev. B 78, 235116 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.235116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213556
dc.subjectDisordered Systems and Neural Networks
dc.subjectStrongly Correlated Electrons
dc.titleSelf-consistent study of Anderson localization in the Anderson-Hubbard model in two and three dimensions
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