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

Bertrand Berche
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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 $η_σ(T)$ 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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Bertrand Berche. 2002-12-16. Bulk and surface properties in the critical phase of the two-dimensional XY model. https://doi.org/10.1088/0305-4470%2F36%2F3%2F301

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