Bulk and surface properties in the critical phase of the two-dimensional XY model

Abstract

Monte Carlo simulations of the two-dimensional XY model are performed in a square geometry with various boundary conditions (BC). Using conformal mappings we deduce the exponent ησ(T) of the order parameter correlation function and its surface analogue η\|(T) as a function of the temperature in the critical (low-temperature) phase of the model.

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