Regensburg 2022 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 21: Correlated Electrons: Poster Session

TT 21.20: Poster

Wednesday, September 7, 2022, 15:00–18:00, P1

Fractal quantum criticality in the Newman-Moore model in a transverse field investigated by linked cluster expansions — •Raymond Wiedmann, Matthias Mühlhauser, and Kai Phillip Schmidt — Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany

The zero-temperature phase transition in the two-dimensional self-dual quantum Newman-Moore model is investigated using perturbative linked cluster expansions. The model exhibits type-II fracton excitations that have a highly restricted mobility on the lattice. High-order series expansions of the energy gap for different quasi-particle sectors as well as the vacuum energy are calculated using perturbative continuous unitary transformations and matrix perturbation theory, respectively. Our results indicate a first-order phase transition between the fractal phase and the polarized phase at the self-dual point in the model.