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

Peter Henseler, Johann Kroha, and Boris Shapiro
Phys. Rev. B 78, 235116 – Published 12 December 2008

Abstract

We consider the change in electron localization due to the presence of electron-electron repulsion in the Anderson-Hubbard 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.

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  • Received 27 August 2008

DOI:https://doi.org/10.1103/PhysRevB.78.235116

©2008 American Physical Society

Authors & Affiliations

Peter Henseler and Johann Kroha

  • Physikalisches Institut, Universität Bonn, Nussallee 12, 53115 Bonn, Germany

Boris Shapiro

  • Department of Physics, Technion–Israel Institute of Technology, Haifa 32000, Israel

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Issue

Vol. 78, Iss. 23 — 15 December 2008

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