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TT: Fachverband Tiefe Temperaturen

TT 18: Poster Session: Topological Topics (joint session TT/MA)

TT 18.12: Poster

Montag, 1. April 2019, 15:00–18:30, Poster D

Robustness of Haah's code in a magnetic field — •Matthias Walther and Kai Phillip Schmidt — Institut für Theoretische Physik I FAU Erlangen-Nürnberg, Erlangen, Deutschland

Haah's cubic code is an exactly solvable three-dimensional quantum spin model realizing topological fracton order. It is a promising candidate for self correcting quantum memory due to its macroscopic energy barrier between different ground states. Here we analyse the quantum robustness of this topological fracton order in a homogeneous magnetic field at zero temperature. Technically, this is achieved by applying the method of perturbative continuous unitary transformations and a mean-field approach. In all cases studied, we find strong first-order phase transitions separating the topological fracton phase and the polarized phase.