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The Berezinskii–Kosterlitz–Thouless (BKT) transition is a phase transition of the two-dimensional (2-D) XY model in statistical physics. It is a transition from bound vortex-antivortex pairs at low temperatures to unpaired vortices and anti-vortices at some critical temperature. The transition is named for condensed … See more
The XY model is a two-dimensional vector spin model that possesses U(1) or circular symmetry. This system is not expected to possess a normal second-order phase transition. … See more
There is an elegant thermodynamic argument for the Kosterlitz–Thouless transition. The energy of a single vortex is See more
The following discussion uses field theoretic methods. Assume a field φ(x) defined in the plane which takes on values in See more
• J.V. Jose, 40 Years of Berezinskii–Kosterlitz–Thouless Theory, World Scientific, 2013, ISBN 978-981-4417-65-5 See more
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