Berlin 2024 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 80: Correlated Electrons: Poster
TT 80.25: Poster
Donnerstag, 21. März 2024, 15:00–18:00, Poster E
How to: Mean-field calculations with long-range interactions — •Jan Alexander Koziol1, Giovanna Morigi2, and Kai Phillip Schmidt1 — 1Department of Physics, Staudtstraße 7, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Germany — 2Theoretical Physics, Saarland University, Campus E2.6, D-66123 Saarbrücken, Germany
We introduce an approach to set up mean-field calculations for lattice models with long-range interactions. The basic idea of our method is to perform mean-field calculations on all possible unit cells up to a given extend. The long-range interaction is treated without truncation using resummed couplings. One further advantage of the method we present is that all phases with ordering vectors fitting on any of the considered unit cells can be detected within out framework. We describe in detail the underlying theoretical ideas behind the method, the technicalities on how to implement the unit cell generation, and several results we obtained for spin-1/2 degrees of freedom and bosons on the two-dimensional square and triangular lattice.
Keywords: Bose-Hubbard model; XXZ spin model; long-range interaction; dipolar interaction; mean-field