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.

5 pages, 4 figures

References in corpus (11)

• Many body localization and thermalization in quantum statistical mechanics
• Anderson Transitions
• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Dynamics in many-body localized quantum systems without disorder
• Quantum phases in mixtures of fermionic atoms
• Optical and dc transport properties of a strongly correlated charge density wave system: exact solution in the ordered phase of the spinless Falicov-Kimball model with dynamical mean-field theory
• Segregation in the asymmetric Hubbard model
• Spectral properties in the charge density wave phase of the half-filled Falicov-Kimball Model
• Anderson localization in a correlated fermionic mixture

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• The one-dimensional Long-Range Falikov-Kimball Model: Thermal Phase Transition and Disorder-Free Localisation
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