Journal article
Partition function of the Kitaev quantum double model
- Abstract:
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We compute the degeneracy of energy levels in the Kitaev quantum double model for any discrete group $G$ on any planar graph forming the skeleton of a closed orientable surface of arbitrary genus. The derivation is based on the fusion rules of the properly identified vertex and plaquette excitations, which are selected among the anyons, i.e., the simple objects of the Drinfeld center $\mathcal{Z}(\mathrm{Vec}_G)$. These degeneracies are given in terms of the quantum dimensions of the anyons and allow one to obtain the exact finite-temperature partition function of the model, valid for any finite-size system.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 2.5MB, Terms of use)
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- Publisher copy:
- 10.1103/vqlz-4rtz
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/X030881/1
- Publisher:
- American Physical Society
- Journal:
- Physical Review B More from this journal
- Volume:
- 113
- Issue:
- 16
- Article number:
- 165106
- Publication date:
- 2026-04-06
- Acceptance date:
- 2026-03-12
- DOI:
- EISSN:
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2469-9969
- ISSN:
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2469-9950
- Language:
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English
- Pubs id:
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2388891
- Local pid:
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pubs:2388891
- Deposit date:
-
2026-03-13
- ARK identifier:
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2026
- Rights statement:
- ©2026 American Physical Society
- Notes:
- The author accepted manuscript (AAM) of this paper has been made available under the University of Oxford's Open Access Publications Policy, and a CC BY public copyright licence has been applied.
- Licence:
- CC Attribution (CC BY)
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