Surface properties at the Kosterlitz-Thouless transition

Details Surface properties at the Kosterlitz-Thouless transition Surface properties at the Kosterlitz-Thouless transition

2002-08-27

arxiv.org/abs/cond-mat/0208522v1

Phys. Lett. A 302, 336-340 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

LaTeX file, 7 pages, 3 eps figures

Scientific paper

10.1016/S0375-9601(02)01167-2

Monte Carlo simulations of the two-dimensional XY model are performed in a square geometry with free and mixed fixed-free boundary conditions. Using a Schwarz-Christoffel conformal mapping, we deduce the exponent eta of the order parameter correlation function and its surface equivalent eta_parallel at the Kosterlitz-Thouless transition temperature. The well known value eta(T_{KT}) = 1/4 is easily recovered even with systems of relatively small sizes, since the shape effects are encoded in the conformal mapping. The exponent associated to the surface correlations is similarly obtained eta_1(T_{KT}) ~= 0.54.

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