SKM 2023 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 42: Poster: Correlated Electrons I

TT 42.7: Poster

Mittwoch, 29. März 2023, 15:00–18:00, P2/OG2

Phase diagram study of the Falicov-Kimball model on the two-dimensional Kagome latticeYounes Javanmard1 and •Ammar Nejati21Leibniz Universität Hannover, Hannover, Germany — 2Jülich Centre for Neutron Science (JCNS), Forschungszentrum Jülich

The Falicov-Kimball Model (FKM) is a relatively simple model of coupled quantum and classic degrees of freedom, in the middle of the spectrum between the Hubbard and the Anderson models. A number of studies have revealed its rich phase diagram in two-dimensional lattices, e.g. square and triangular lattices [1,2]. In a square lattice with half-filling, depending on the interaction strength and temperature, FKM exhibits a rich variety of phases: At sufficiently low temperatures, there is a charge density wave (CDW) phase; at high temperatures and weak interactions, a weakly localized phase appears which becomes an Anderson-localized phase in the thermodynamic limit; at high temperatures and strong interactions, a Mott insulating phase emerges [1]. In addition, there are two other phases called "quantum liquid" and "classical liquid" in triangular lattices and away from half-filling at sufficiently low temperatures and weak interactions [2].

We set up a Monte Carlo algorithm for the two-dimensional FKM away from the half-filling regime on a Kagome lattice to study this model’s rich phase diagram, and to extend the previous studies regarding the consequences of geometry on the emegent quantum phases and the corresponding phase transitions.
[1] Phys. Rev. Lett. 117, 146601
[2] Phys. Rev. Lett. 122, 197601

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