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Bulk and surface properties in the critical phase of the two-dimensional XY model
Bertrand Berche
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…
Surface properties at the Kosterlitz-Thouless transition
Bertrand Berche
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…
Correlations in the low-temperature phase of the two-dimensional XY model
B. Berche, A. Farinas Sanchez, R. Paredes
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 e…
Phase transitions in two-dimensional random Potts models
Bertrand Berche, Christophe Chatelain
The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance o…