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 ${\eta }_{\sigma }(T)$ of the order parameter correlation function and its surface analogue ${\eta }_{\Vert }(T)$ as a function of the temperature in the critical (low-temperature) phase of the model.

26 pages, iop macro, one reference added, typos corrected

References in corpus (2)

• Correlations in the low-temperature phase of the two-dimensional XY model
• Surface properties at the Kosterlitz-Thouless transition

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