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Global anomaly detection in two-dimensional symmetry-protected topological phases

Nick Bultinck (UGent) , Robijn Vanhove (UGent) , Jutho Haegeman (UGent) and Frank Verstraete (UGent)
Author
Organization
Project
  • QUTE (Quantum tensor networks and entanglement)
  • ERQUAF (Entanglement and Renormalisation for Quantum Fields)
Abstract
Edge theories of symmetry-protected topological phases are well known to possess global symmetry anomalies. In this Letter we focus on two-dimensional bosonic phases protected by an on-site symmetry and analyze the corresponding edge anomalies in more detail. Physical interpretations of the anomaly in terms of an obstruction to orbifolding and constructing symmetry-preserving boundaries are connected to the cohomology classification of symmetry-protected phases in two dimensions. Using the tensor network and matrix product state formalism we numerically illustrate our arguments and discuss computational detection schemes to identify symmetry-protected order in a ground state wave function.
Keywords
CONFORMAL FIELD-THEORY, ORBIFOLDS, INVARIANCE, DEFECTS

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Citation

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

MLA
Bultinck, Nick et al. “Global Anomaly Detection in Two-dimensional Symmetry-protected Topological Phases.” PHYSICAL REVIEW LETTERS 120.15 (2018): n. pag. Print.
APA
Bultinck, N., Vanhove, R., Haegeman, J., & Verstraete, F. (2018). Global anomaly detection in two-dimensional symmetry-protected topological phases. PHYSICAL REVIEW LETTERS, 120(15).
Chicago author-date
Bultinck, Nick, Robijn Vanhove, Jutho Haegeman, and Frank Verstraete. 2018. “Global Anomaly Detection in Two-dimensional Symmetry-protected Topological Phases.” Physical Review Letters 120 (15).
Chicago author-date (all authors)
Bultinck, Nick, Robijn Vanhove, Jutho Haegeman, and Frank Verstraete. 2018. “Global Anomaly Detection in Two-dimensional Symmetry-protected Topological Phases.” Physical Review Letters 120 (15).
Vancouver
1.
Bultinck N, Vanhove R, Haegeman J, Verstraete F. Global anomaly detection in two-dimensional symmetry-protected topological phases. PHYSICAL REVIEW LETTERS. 2018;120(15).
IEEE
[1]
N. Bultinck, R. Vanhove, J. Haegeman, and F. Verstraete, “Global anomaly detection in two-dimensional symmetry-protected topological phases,” PHYSICAL REVIEW LETTERS, vol. 120, no. 15, 2018.
@article{8559938,
  abstract     = {{Edge theories of symmetry-protected topological phases are well known to possess global symmetry anomalies. In this Letter we focus on two-dimensional bosonic phases protected by an on-site symmetry and analyze the corresponding edge anomalies in more detail. Physical interpretations of the anomaly in terms of an obstruction to orbifolding and constructing symmetry-preserving boundaries are connected to the cohomology classification of symmetry-protected phases in two dimensions. Using the tensor network and matrix product state formalism we numerically illustrate our arguments and discuss computational detection schemes to identify symmetry-protected order in a ground state wave function.}},
  articleno    = {{156601}},
  author       = {{Bultinck, Nick and Vanhove, Robijn and Haegeman, Jutho and Verstraete, Frank}},
  issn         = {{0031-9007}},
  journal      = {{PHYSICAL REVIEW LETTERS}},
  keywords     = {{CONFORMAL FIELD-THEORY,ORBIFOLDS,INVARIANCE,DEFECTS}},
  language     = {{eng}},
  number       = {{15}},
  pages        = {{6}},
  title        = {{Global anomaly detection in two-dimensional symmetry-protected topological phases}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.120.156601}},
  volume       = {{120}},
  year         = {{2018}},
}

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