title: Interaction-Tuned Anderson versus Mott Localization.
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.
authors.affiliation: Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.
authors.forename: Andrey E
authors.initials: AE
authors.lastname: Antipov
authors.affiliation: Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany.
authors.forename: Younes
authors.initials: Y
authors.lastname: Javanmard
authors.affiliation: CeFEMA, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal.|Russian Quantum Center, 143025 Skolkovo, Moscow region, Russia.
authors.forename: Pedro
authors.initials: P
authors.lastname: Ribeiro
authors.affiliation: Center for Correlated Matter, Zhejiang University, Hangzhou, Zhejiang 310058, China.
authors.forename: Stefan
authors.initials: S
authors.lastname: Kirchner