Journal article
Condensation-driven phase transitions in perturbed string nets
- Abstract:
- We develop methods to probe the excitation spectrum of topological phases of matter in two spatial dimensions. Applying these to the Fibonacci string nets perturbed away from exact solvability, we analyze a topological phase transition driven by the condensation of non-Abelian anyons. Our numerical results illustrate how such phase transitions involve the spontaneous breaking of a topological symmetry, generalizing the traditional Landau paradigm. The main technical tool is the characterization of the ground states using tensor networks and the topological properties using matrix-product-operator symmetries. The topological phase transition manifests itself by symmetry breaking in the entanglement degrees of freedom of the quantum transfer matrix.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 1.3MB, Terms of use)
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- Publisher copy:
- 10.1103/PhysRevB.96.155127
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review B More from this journal
- Volume:
- 96
- Issue:
- 15
- Article number:
- 155127
- Publication date:
- 2017-10-17
- Acceptance date:
- 2017-08-16
- DOI:
- EISSN:
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2469-9969
- ISSN:
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2469-9950
- Pubs id:
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pubs:747041
- UUID:
-
uuid:86cf3e99-9c21-4935-8849-939e257f217e
- Local pid:
-
pubs:747041
- Source identifiers:
-
747041
- Deposit date:
-
2017-11-20
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2017
- Notes:
- Copyright © 2017 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from the American Physical Society at: https://doi.org/10.1103/PhysRevB.96.155127
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