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|a Chen, Xie
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|a Massachusetts Institute of Technology. Department of Physics
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|a Chen, Xie
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|a Wen, Xiao-Gang
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|a Wen, Xiao-Gang
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|a Chiral symmetry on the edge of two-dimensional symmetry protected topological phases
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|b American Physical Society,
|c 2014-08-18T14:59:48Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/88750
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|a Symmetry protected topological (SPT) states are short-range entangled states with symmetry. The boundary of a SPT phases has either gapless excitations or degenerate ground states, around a gapped bulk. Recently, we proposed a systematic construction of SPT phases in interacting bosonic systems, however it is not very clear what is the form of the low-energy excitations on the gapless edge. In this paper, we answer this question for two-dimensional (2D) bosonic SPT phases with Z[subscript N] and U(1) symmetry. We find that while the low-energy modes of the gapless edges are nonchiral, symmetry acts on them in a "chiral" way, i.e., acts on the right movers and the left movers differently. This special realization of symmetry protects the gaplessness of the otherwise unstable edge states by prohibiting a direct scattering between the left and right movers. Moreover, understanding of the low-energy effective theory leads to experimental predictions about the SPT phases. In particular, we find that all the 2D U(1) SPT phases have even integer quantized Hall conductance.
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|a National Science Foundation (U.S.) (Grant DMR-1005541)
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|a en_US
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|a Article
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|t Physical Review B
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