Regensburg 2022 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 21: Correlated Electrons: Poster Session

TT 21.31: Poster

Mittwoch, 7. September 2022, 15:00–18:00, P1

Linked cluster expansions via hypergraph decompositions — •Matthias Mühlhauser and Kai Phillip Schmidt — Institute for Theoretical Physics I, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

We present a hypergraph expansion which facilitates the direct treatment of quantum-spin-models with effective many-site interactions via perturbative linked cluster expansions. The main idea is to generate all relevant subclusters and sort them into equivalence classes essentially governed by hypergraph isomorphism. Concretely, a reduced König representation of the hypergraphs is used to make the equivalence relation accessible by graph isomorphism.

[1] M. Mühlhauser and K. P. Schmidt, arXiv:2202.03366 (2022)