Interaction-Tuned Anderson versus Mott Localization

Andrey E. Antipov, Younes Javanmard, Pedro Ribeiro, and Stefan Kirchner
Phys. Rev. Lett. 117, 146601 – Published 28 September 2016

Abstract

Disorder or sufficiently strong interactions can render a metallic state unstable, causing it to turn into an insulating one. Despite the fact that the interplay of these two routes to a vanishing conductivity has been a central research topic, a unifying picture has not emerged so far. Here, we establish that the two-dimensional Falicov-Kimball model, one of the simplest lattice models of strong electron correlation, does allow for the study of this interplay. In particular, we show that this model at particle-hole symmetry possesses three distinct thermodynamic insulating phases and exhibits Anderson localization. The previously reported metallic phase is identified as a finite-size feature due to the presence of weak localization. We characterize these phases by their electronic density of states, staggered occupation, conductivity, and the generalized inverse participation ratio. The implications of our findings for other strongly correlated systems are discussed.

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  • Received 5 June 2016

DOI:https://doi.org/10.1103/PhysRevLett.117.146601

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Andrey E. Antipov1,*, Younes Javanmard2, Pedro Ribeiro3,4,†, and Stefan Kirchner5,‡

  • 1Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 2Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
  • 3CeFEMA, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal
  • 4Russian Quantum Center, 143025 Skolkovo, Moscow region, Russia
  • 5Center for Correlated Matter, Zhejiang University, Hangzhou, Zhejiang 310058, China

  • *aantipov@umich.edu
  • ribeiro.pedro@gmail.com
  • stefan.kirchner@correlated-matter.com

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Issue

Vol. 117, Iss. 14 — 30 September 2016

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