Mühlhauser M, Kott V, Schmidt KP (2024)
Publication Type: Journal article
Publication year: 2024
Book Volume: 7
Journal Issue: 2
DOI: 10.21468/SciPostPhysCore.7.2.031
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. This demands to include the non-local effects mediated by the mutual anyonic statistics of elementary charge and flux excitations. Technically, we describe how to consistently integrate such non-local effects into a hypergraph decomposition for single excitations. The approach is demonstrated for the ground-state energy and the elementary excitation energies of charges and fluxes in the perturbed topological phase.
APA:
Mühlhauser, M., Kott, V., & Schmidt, K.P. (2024). Incorporating non-local anyonic statistics into a graph decomposition. SciPost Physics Core, 7(2). https://doi.org/10.21468/SciPostPhysCore.7.2.031
MLA:
Mühlhauser, Matthias, Viktor Kott, and Kai Phillip Schmidt. "Incorporating non-local anyonic statistics into a graph decomposition." SciPost Physics Core 7.2 (2024).
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