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Tensor-network approach to phase transitions in string-net models

(2019) PHYSICAL REVIEW B. 100(24).
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  • QUTE (Quantum tensor networks and entanglement)
Abstract
We use a recently proposed class of tensor-network states to study phase transitions in string-net models. These states encode the genuine features of the string-net condensate such as, e.g., a nontrivial perimeter law for Wilson loops expectation values, and a natural order parameter detecting the breakdown of the topological phase. In the presence of a string tension, a quantum phase transition occurs between the topological phase and a trivial phase. We benchmark our approach for Z(2) string nets and capture the second-order phase transition which is well known from the exact mapping onto the transverse-field Ising model. More interestingly, for Fibonacci string nets, we obtain first-order transitions in contrast with previous studies but in qualitative agreement with mean-field results.
Keywords
ANYONS

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Citation

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MLA
Schotte, Alexis, et al. “Tensor-Network Approach to Phase Transitions in String-Net Models.” PHYSICAL REVIEW B, vol. 100, no. 24, 2019, doi:10.1103/physrevb.100.245125.
APA
Schotte, A., Carrasco, J., Vanhecke, B., Vanderstraeten, L., Haegeman, J., Verstraete, F., & Vidal, J. (2019). Tensor-network approach to phase transitions in string-net models. PHYSICAL REVIEW B, 100(24). https://doi.org/10.1103/physrevb.100.245125
Chicago author-date
Schotte, Alexis, Jose Carrasco, Bram Vanhecke, Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, and Julien Vidal. 2019. “Tensor-Network Approach to Phase Transitions in String-Net Models.” PHYSICAL REVIEW B 100 (24). https://doi.org/10.1103/physrevb.100.245125.
Chicago author-date (all authors)
Schotte, Alexis, Jose Carrasco, Bram Vanhecke, Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, and Julien Vidal. 2019. “Tensor-Network Approach to Phase Transitions in String-Net Models.” PHYSICAL REVIEW B 100 (24). doi:10.1103/physrevb.100.245125.
Vancouver
1.
Schotte A, Carrasco J, Vanhecke B, Vanderstraeten L, Haegeman J, Verstraete F, et al. Tensor-network approach to phase transitions in string-net models. PHYSICAL REVIEW B. 2019;100(24).
IEEE
[1]
A. Schotte et al., “Tensor-network approach to phase transitions in string-net models,” PHYSICAL REVIEW B, vol. 100, no. 24, 2019.
@article{8647431,
  abstract     = {{We use a recently proposed class of tensor-network states to study phase transitions in string-net models. These states encode the genuine features of the string-net condensate such as, e.g., a nontrivial perimeter law for Wilson loops expectation values, and a natural order parameter detecting the breakdown of the topological phase. In the presence of a string tension, a quantum phase transition occurs between the topological phase and a trivial phase. We benchmark our approach for Z(2) string nets and capture the second-order phase transition which is well known from the exact mapping onto the transverse-field Ising model. More interestingly, for Fibonacci string nets, we obtain first-order transitions in contrast with previous studies but in qualitative agreement with mean-field results.}},
  articleno    = {{245125}},
  author       = {{Schotte, Alexis and Carrasco, Jose and Vanhecke, Bram and Vanderstraeten, Laurens and Haegeman, Jutho and Verstraete, Frank and Vidal, Julien}},
  issn         = {{2469-9950}},
  journal      = {{PHYSICAL REVIEW B}},
  keywords     = {{ANYONS}},
  language     = {{eng}},
  number       = {{24}},
  pages        = {{8}},
  title        = {{Tensor-network approach to phase transitions in string-net models}},
  url          = {{http://dx.doi.org/10.1103/physrevb.100.245125}},
  volume       = {{100}},
  year         = {{2019}},
}

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