Semi-vortices and cluster-vorticity: new concepts in the Berezinskii-Kosterlitz-Thouless phase transition
DOI:
https://doi.org/10.31349/SuplRevMexFis.3.020724Keywords:
2d XY model, essential phase transition, vortices, cluster algorithmAbstract
The Berezinski˘ı-Kosterlitz-Thouless (BKT) essential phase transition in the 2d XY model is revisited. Its mechanism is usually described by the (un)binding of vortex–anti-vortex (V–AV) pairs, which does, however, not provide a clear-cut quantitative criterion for criticality. Known sharp criteria are the divergence of the correlation length and a discontinuity of the helicity modulus. Here we propose and probe a new criterion: it is based on the concepts of semi-vortices and cluster vorticity, which are formulated in the framework of the multi-cluster algorithm that we use to simulate the 2d XY model
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Copyright (c) 2022 Brandon Gómez Bravo, Bryan David Juárez Hernández, Wolfgang Bietenholz (Author)
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