Berlin 2024 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 80: Correlated Electrons: Poster
TT 80.11: Poster
Donnerstag, 21. März 2024, 15:00–18:00, Poster E
Phase diagram study of the Falicov-Kimball Model on the two-dimensional Kagome lattice — •Ammar Nejati1 and Younes Javanmard2 — 1Jülich Centre for Neutron Science (JCNS) — 2Leibniz Universität Hannover
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 halffilling 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
Keywords: Anderson localization; Mott Insulator; critical phenomena