Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 73: Topology: Other Topics

TT 73.4: Vortrag

Freitag, 20. März 2020, 11:45–12:00, HSZ 103

Quantum robustness of three-dimensional fracton codes — •Matthias Mühlhauser1, Matthias Walther1, David A. Reiß2, and Kai P. Schmidt11Institute for Theoretical Physics I, FAU Erlangen-Nürnberg, Germany — 2Dahlem Center for Complex Quantum Systems and Physics Department, FU Berlin, Germany

We investigate zero-temperature phase transitions out of three-dimensional fracton phases. For this reason exactly solvable fracton codes like the X-Cube model, which features fracton topological order of type I, are studied in the presence of an external homogeneous magnetic field. We apply high order linked-cluster expansions to calculate the ground-state energy as well as excitation energies of fractonic quasi-particles in order to determine the ground-state phase diagram quantitatively. To this end a full graph decomposition is performed for these three-dimensional quantum many-body systems.

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