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Symmetry protected topological orders and the group cohomology of their symmetry group
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu +1
Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state…
2D symmetry protected topological orders and their protected gapless edge excitations
Xie Chen, Zheng-Xin Liu, Xiao-Gang Wen
Topological insulators in free fermion systems have been well characterized and classified. However, it is not clear in strongly interacting boson or fermion systems what symmetry…
Symmetry protected topological orders of 1D spin systems with D2+T symmetry
Zheng-Xin Liu, Xie Chen, Xiao-Gang Wen
In [Z.-X. Liu, M. Liu, X.-G. Wen, arXiv:1101.5680], we studied 8 gapped symmetric quantum phases in S=1 spin chains %/ladders which respect a discrete spin rotation $D_2 \subset SO…
Complete classification of 1D gapped quantum phases in interacting spin systems
Xie Chen, Zheng-Cheng Gu, Xiao-Gang Wen
Quantum phases with different orders exist with or without breaking the symmetry of the system. Recently, a classification of gapped quantum phases which do not break time reversal…