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Condensation-driven phase transitions in perturbed string nets

(2017) PHYSICAL REVIEW B. 96(15).
Author
Organization
Project
QUTE (Quantum Tensor Networks and Entanglement)
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.
Keywords
MATRIX PRODUCT STATES, RENORMALIZATION-GROUP, TOPOLOGICAL ORDER, POTTS-MODEL, QUANTUM, ANYONS

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Citation

Please use this url to cite or link to this publication:

Chicago
Mariën, Michaël, Jutho Haegeman, Paul Fendley, and Frank Verstraete. 2017. “Condensation-driven Phase Transitions in Perturbed String Nets.” Physical Review B 96 (15).
APA
Mariën, M., Haegeman, J., Fendley, P., & Verstraete, F. (2017). Condensation-driven phase transitions in perturbed string nets. PHYSICAL REVIEW B, 96(15).
Vancouver
1.
Mariën M, Haegeman J, Fendley P, Verstraete F. Condensation-driven phase transitions in perturbed string nets. PHYSICAL REVIEW B. 2017;96(15).
MLA
Mariën, Michaël, Jutho Haegeman, Paul Fendley, et al. “Condensation-driven Phase Transitions in Perturbed String Nets.” PHYSICAL REVIEW B 96.15 (2017): n. pag. Print.
@article{8536702,
  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.},
  articleno    = {155127},
  author       = {Mari{\"e}n, Micha{\"e}l and Haegeman, Jutho and Fendley, Paul and Verstraete, Frank},
  issn         = {2469-9950},
  journal      = {PHYSICAL REVIEW B},
  keyword      = {MATRIX PRODUCT STATES,RENORMALIZATION-GROUP,TOPOLOGICAL ORDER,POTTS-MODEL,QUANTUM,ANYONS},
  language     = {eng},
  number       = {15},
  pages        = {9},
  title        = {Condensation-driven phase transitions in perturbed string nets},
  url          = {http://dx.doi.org/10.1103/PhysRevB.96.155127},
  volume       = {96},
  year         = {2017},
}

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