Freiburg 2024 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 15: Poster I

A 15.14: Poster

Dienstag, 12. März 2024, 17:00–19:00, Tent A

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 (hardcore) bosons on the two-dimensional square and triangular lattice.

Keywords: mean-field; Bose-Hubbard model; dipolar interactions; long-range interactions; XXZ spin model