3 papers
cond-mat.str-el2025
Absence of topological order in the checkerboard toric code
M. Vieweg, V. Kott, L. Lenke +2
We investigate the checkerboard toric code which corresponds to the -symmetry enriched toric code with two distinct star sublattices. One can therefore tune from the l…
cond-mat.str-el2024
Quantum robustness of the toric code in a parallel field on the honeycomb and triangular lattice
V. Kott, M. Mühlhauser, J. A. Koziol +1
We investigate the quantum robustness of the topological order in the toric code on the honeycomb lattice in the presence of a uniform parallel field. For a field in -direction,…
cond-mat.str-el2024
Incorporating non-local anyonic statistics into a graph decomposition
M. Mühlhauser, V. Kott, K. P. Schmidt
In this work we describe how to systematically implement a full graph decomposition to set up a linked-cluster expansion for the topological phase of Kitaev's toric code in a field…