| Issue |
Europhys. Lett.
Volume 60, Number 4, November 2002
|
|
|---|---|---|
| Page(s) | 539 - 545 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00252-0 | |
| Published online | 01 November 2002 | |
Correlations in the low-temperature phase of the two-dimensional XY model
1
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
Received:
17
July
2002
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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