TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.2.031
TI  - Incorporating non-local anyonic statistics into a graph decomposition
PY  - 2024/05/30
UR  - https://scipost.org/SciPostPhysCore.7.2.031
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 2
SP  - 031
A1  - Mühlhauser, Matthias
AU  - Kott, Viktor
AU  - Schmidt, Kai Phillip
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.7.2.031,
	title={{Incorporating non-local anyonic statistics into a graph decomposition}},
	author={Matthias Mühlhauser and Viktor Kott and Kai Phillip Schmidt},
	journal={SciPost Phys. Core},
	volume={7},
	pages={031},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.2.031},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.2.031},
}