ManyBody Topological Invariants for Fermionic SymmetryProtected Topological Phases
 Authors:
 Publication Date:
 Sponsoring Org.:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21)
 OSTI Identifier:
 1359989
 Grant/Contract Number:
 FG0212ER46875
 Resource Type:
 Journal Article: Publisher's Accepted Manuscript
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 118; Journal Issue: 21; Related Information: CHORUS Timestamp: 20170525 22:10:29; Journal ID: ISSN 00319007
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
Citation Formats
Shapourian, Hassan, Shiozaki, Ken, and Ryu, Shinsei. ManyBody Topological Invariants for Fermionic SymmetryProtected Topological Phases. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.118.216402.
Shapourian, Hassan, Shiozaki, Ken, & Ryu, Shinsei. ManyBody Topological Invariants for Fermionic SymmetryProtected Topological Phases. United States. doi:10.1103/PhysRevLett.118.216402.
Shapourian, Hassan, Shiozaki, Ken, and Ryu, Shinsei. 2017.
"ManyBody Topological Invariants for Fermionic SymmetryProtected Topological Phases". United States.
doi:10.1103/PhysRevLett.118.216402.
@article{osti_1359989,
title = {ManyBody Topological Invariants for Fermionic SymmetryProtected Topological Phases},
author = {Shapourian, Hassan and Shiozaki, Ken and Ryu, Shinsei},
abstractNote = {},
doi = {10.1103/PhysRevLett.118.216402},
journal = {Physical Review Letters},
number = 21,
volume = 118,
place = {United States},
year = 2017,
month = 5
}
Free Publicly Available Full Text
This content will become publicly available on May 25, 2018
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Cited by: 7works
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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 transitionmore »Cited by 3 
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 transitionmore »Cited by 3 
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 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 othermore »Cited by 3