Berlin 2015 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 112: Correlated Electrons: (General) Theory 3
TT 112.8: Talk
Friday, March 20, 2015, 11:30–11:45, H 3010
Metal-insulator transitions in the Falicov-Kimball Model — •Younes Javanmard1,2, Andrey Antipov3, Pedro Ribeiro4, and Stefan Kirchner5 — 1Max Planck Institute for Physics of Complex Systems, Nothnitzer str.38, 01187, Dresden, Germany — 2Max Planck Institute for Chemical Physics of Solids, Nothnitzer str. 40, 01187, Drsden, Germany — 3Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA — 4Russian Quantum Center, Novaya street 100A, Skolkovo Village, Odintsovo district, Moscow area, 143025 Russia — 5Center for Correlated Matter, Zhejiang University, Hangzhou, China
How an insulator forms out of correlated metallic states is only partially understood. We study this issue in the Falicov-Kimball model, a proxy of the more complicated Hubbard model, that contains feature of an annealed disorder problem. For the half-filled Falicov-Kimball model on a square lattice one expects the formation of an insulator due to a CDW transition of the fully nested Fermi surface as temperature is lowered. In the limit of infinite interaction strength the nature of this transition is well understood. On the other hand, increasing the interaction strength at fixed temperature well above the CDW onset, the density of states at the Fermi energy vanishes. We set up a stochastic approach on finite systems that allows us to study both the evolution of the Inverse Participation Ratio and the change of the nature of the CDW transition with increasing interaction strength and system size. We discuss emergent localization within the disordered phase near the metal-insulator transitions of this model.