Articles dans des revues à comité de lecture
|Surface properties at the Kosterlitz-Thouless transition|
|Physics Letters, Section A: General, Atomic and Solid State Phys 302 (2002) 336|
|DOI : 10.1016/S0375-9601(02)01167-2|
|ArXiv : cond-mat/0208522 [PDF]|
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 Î· of the order parameter correlation function and its surface equivalent Î·â^¥ at the Kosterlitz-Thouless transition temperature. The well-known value Î·(TKT) = 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 Î·1 (TKT) âo/oof 0.54.