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- W1594134311 abstract "The non-Abelian geometric phases of the robust degenerate ground states were proposed as physically measurable defining properties of topological order in 1990. In this paper we discuss in detail such a quantitative characterization of topological order, using generic Abelian fractional quantum Hall states as examples. We find a way to determine even the pure U(1) phase of the non-Abelian geometric phases. We show that the non-Abelian geometric phases not only contain information about the quasi-particle statistics, they also contain information about the chiral central charge Delta c mod 24 of the edge states, as well as the Hall viscosity. Thus, the non-Abelian geometric phases (both the Abelian part and the non-Abelian part) provide a quite complete way to characterize 2D topological order." @default.
- W1594134311 created "2016-06-24" @default.
- W1594134311 creator A5072166156 @default.
- W1594134311 date "2012-12-20" @default.
- W1594134311 modified "2023-09-27" @default.
- W1594134311 title "Modular transformation and bosonic/fermionic topological orders in Abelian fractional quantum Hall states" @default.
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- W1594134311 hasPublicationYear "2012" @default.
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