Regensburg 2022 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 21: Correlated Electrons: Poster Session

TT 21.18: Poster

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

Linked cluster expansions for a perturbed topological phase — •Viktor Kott, Matthias Mühlhauser, and Kai Phillip Schmidt — Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany

We investigate the robustness of Kitaev's toric code in a uniform magnetic field on several two-dimensional lattices by perturbative linked cluster expansions using a full graph decomposition. In particular, the full graph decomposition allows to correctly take into account the non-trivial mutual exchange statistics of the anyonic elementary excitations. This allows us to calculate the ground-state energy and excitation energies of the topological phase which are then used to study the quantum phase transitions out of the topologically ordered phase as a function of the field direction.