Volume 60, Number 4, November 2002
|Page(s)||539 - 545|
|Published online||01 November 2002|
Correlations in the low-temperature phase of the two-dimensional XY model
Laboratoire de Physique des Matériaux, UMR CNRS 7556,
Université Henri Poincaré
Nancy 1, B.P. 239, F-54506 Vandœuvre les Nancy Cedex, France
2 Centro de Física, Instituto Venezolano de Investigaciones Científicas Apartado 21827, Caracas 1020A, Venezuela
Accepted: 28 August 2002
Monte Carlo simulations of the two-dimensional XY model are performed in a square geometry with fixed boundary conditions. Using a conformal mapping, it is very easy to deduce the exponent of the order parameter correlation function at any temperature in the critical phase of the model. The temperature behaviour of is obtained numerically with a good accuracy up to the Kosterlitz-Thouless transition temperature. At very low temperatures, a good agreement is found with Berezinskii's harmonic approximation. Surprisingly, we show some evidence that there are no logarithmic corrections to the behaviour of the order parameter density profile (with symmetry-breaking surface fields) at the Kosterlitz-Thouless transition temperature.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 75.10.-b – General theory and models of magnetic ordering
© EDP Sciences, 2002
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