Regensburg 2022 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 5: Frustrated Magnets – Spin Liquids

TT 5.7: Talk

Monday, September 5, 2022, 16:45–17:00, H10

Competition between X-Cube and Toric Code in three dimensions — •Matthias Mühlhauser¹, Kai Phillip Schmidt¹, Julien Vidal², and Matthias Reimund Walther¹ — ¹Institute for Theoretical Physics I, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany — ²Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, LPTMC, F-75005 Paris, France

We investigate the competition of the X-Cube model with the 3D Toric Code using high-order series expansions. We determine the complete phase diagram, which interestingly consists of four regions, i.e. apart from the topologically ordered Toric-Code phase and the X-Cube fracton phase we find two regions which are adiabatically connected to classical spin-liquid phases.

[1] M. Mühlhauser, K. P. Schmidt, J. Vidal, M. R. Walther. SciPost Phys. 12, 069 (2022)