Berezinskii–Kosterlitz–Thouless transition
= Berezinskii–Kosterlitz–Thouless transition
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The Berezinskii–Kosterlitz–Thouless transition in the two-dimensional <XY model> separates a low-temperature phase with algebraically decaying correlations from a high-temperature phase with unbound vortices and exponentially decaying correlations. It does not produce conventional long-range order.