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|a Gu, Zheng-Cheng
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|a Massachusetts Institute of Technology. Department of Physics
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|a Wen, Xiao-Gang
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|a Wang, Zhenghan
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|a Wen, Xiao-Gang
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|a Lattice model for fermionic toric code
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|b American Physical Society,
|c 2014-09-05T12:47:58Z.
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|u http://hdl.handle.net/1721.1/89191
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|a The Z[subscript 2] topological order in Z[subscript 2] spin liquid and in the exactly solvable Kitaev toric code model is the simplest topological order for 2 + 1D bosonic systems. More general 2 + 1D bosonic topologically ordered states can be constructed via exactly solvable string-net models. However, the most important topologically ordered phases of matter are arguably the fermionic fractional quantum Hall states. Topological phases of matter for fermion systems are strictly richer than their bosonic counterparts because locality has different meanings for the two kinds of systems. In this paper, we describe a simple fermionic version of the toric code model to illustrate many salient features of fermionic exactly solvable models and fermionic topologically ordered states.
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|a National Science Foundation (U.S.) (Grant DMR-1005541)
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|a National Science Foundation (U.S.) (Grant NSFC 11074140)
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|a National Science Foundation (U.S.) (Grant NSFC 11274192)
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|a Article
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|t Physical Review B
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