The phase transitions between Z _{n} × Z _{n} bosonic topological phases in 1 + 1D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
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 Z _{n} × Z _{n}. We find in all cases the critical point possesses two gap opening relevant operators: one leads to a Landauforbidden 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.
 Authors:

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^{[2]};
^{[3]}
 Univ. of California, Berkeley, CA (United States). Dept. of Physics
 SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
 Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231; AC0276SF00515
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 919; Journal Issue: C; Journal ID: ISSN 05503213
 Publisher:
 Elsevier
 Research Org:
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1349311
 Alternate Identifier(s):
 OSTI ID: 1369421; OSTI ID: 1413729
Tsui, Lokman, Huang, YenTa, Jiang, HongChen, and Lee, DungHai. 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. United States: N. p.,
Web. doi:10.1016/j.nuclphysb.2017.03.021.
Tsui, Lokman, Huang, YenTa, Jiang, HongChen, & Lee, DungHai. 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. United States. doi:10.1016/j.nuclphysb.2017.03.021.
Tsui, Lokman, Huang, YenTa, Jiang, HongChen, and Lee, DungHai. 2017.
"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". United States.
doi:10.1016/j.nuclphysb.2017.03.021.
@article{osti_1349311,
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},
author = {Tsui, Lokman and Huang, YenTa and Jiang, HongChen and Lee, DungHai},
abstractNote = {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 Landauforbidden 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.},
doi = {10.1016/j.nuclphysb.2017.03.021},
journal = {Nuclear Physics. B},
number = C,
volume = 919,
place = {United States},
year = {2017},
month = {3}
}