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It is well known that the 3D electronic topological insulator (TI) with charge-conservation and time-reversal symmetry cannot have a trivial insulating surface that preserves symmetry.
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To precisely define vortex statistics, it is necessary to consider a gauged U ( 1 ) C U(1)_{C} symmetry (as is the case for real electrons coupled to the physical electromagnetic field, which has very weak fluctuations)
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Cited in the paper.
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2013
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