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- W2274706145 abstract "We give a new simple derivation for the sine-Gordon description of Berezinskii-Kosterlitz-Thouless(BKT) phase transition (is driven by vortices). Our derivation is simpler than traditional derivations. Besides, our derivation is a continuous field theoretic derivation by using path integration, different from the traditional derivations which are based on lattice theory or based on Coulomb gas model. Our new derivation rely on Abelian duality of two dimensional quantum field theory. By utilizing this duality in path integration, we find that the vortex configurations are naturally mapped to exponential operators in dual description, these operators are the vortex operators that can create vortices, the sine-Gordon description then naturally follows. Our method may be useful for the investigation to the BKT physics of superconductors." @default.
- W2274706145 created "2016-06-24" @default.
- W2274706145 creator A5002559236 @default.
- W2274706145 date "2016-04-01" @default.
- W2274706145 modified "2023-10-02" @default.
- W2274706145 title "Vortex operator and BKT transition in Abelian duality" @default.
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- W2274706145 doi "https://doi.org/10.1016/j.physc.2016.01.006" @default.
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