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Title: The phase transitions between Zn × Zn bosonic topological phases in 1 + 1D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases

Journal Article · · Nuclear Physics. B
 [1];  [1];  [2];  [3]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Physics
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  3. Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
+ Show Author Affiliations

The study of continuous phase transitions triggered by spontaneous symmetry breaking has brought revolutionary ideas to physics. Recently, through the discovery of symmetry protected topological phases, it is realized that continuous quantum phase transition can also occur between states with the same symmetry but different topology. Here in this paper we study a specific class of such phase transitions in 1+1 dimensions – the phase transition between bosonic topological phases protected by Zn × Zn. We find in all cases the critical point possesses two gap opening relevant operators: one leads to a Landau-forbidden symmetry breaking phase transition and the other to the topological phase transition. We also obtained a constraint on the central charge for general phase transitions between symmetry protected bosonic topological phases in 1+1D.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE
Grant/Contract Number:
AC02-05CH11231; AC02-76SF00515
OSTI ID:
1349311
Alternate ID(s):
OSTI ID: 1369421; OSTI ID: 1413729
Journal Information:
Nuclear Physics. B, Vol. 919, Issue C; ISSN 0550-3213
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (8)

Field-induced QCD 3 -Chern-Simons quantum criticalities in Kitaev materials journal January 2020
Gapless Symmetry Protected Topological Order text January 2017
One-Dimensional Symmetry Protected Topological Phases and their Transitions text January 2017
Full Commuting Projector Hamiltonians of Interacting Symmetry-Protected Topological Phases of Fermions text January 2018
A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases text January 2019
Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality text January 2019
Evidence for deconfined U ( 1 ) gauge theory at the transition between toric code and double semion journal April 2021
From trivial to topological paramagnets: The case of $\mathbb{Z}_2$ and $\mathbb{Z}_2^3$ symmetries in two dimensions text January 2020

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