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      Signatures of the Berezinskii-Kosterlitz-Thouless transition on the location of the zeros of the canonical partition function for the 2D XY-model

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          Abstract

          In this work we show how one can use the zeros of the canonical partition function, the Fisher zeros, to unambiguously characterize a transition as being in the Berezinskii-Kosterlitz-Thouless (\(BKT\)) class of universality. By studying the zeros map for the 2D XY-model, we found that its internal border coalesces into the real positive axis in a finite region corresponding to temperatures smaller than the \(BKT\) transition temperature. This behavior is consistent with the predicted existence of a line of critical points below the transition temperature, allowing one to distinguish the \(BKT\) class of universality from other possibilities.

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          Author and article information

          Journal
          2015-07-08
          2015-07-25
          Article
          10.1016/j.cpc.2016.08.016
          1507.02231
          85facc12-dae0-439f-905e-6ff02e38991a

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          cond-mat.stat-mech

          Condensed matter
          Condensed matter

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