https://doi.org/10.1140/epjb/e2003-00310-5
Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model
1
Laboratoire de Physique des Matériaux,
Université Henri Poincaré, Nancy 1, 54506 Vandœuvre les Nancy Cedex, France
2
Centro de Física, Instituto Venezolano de
Investigaciones Científicas, Apartado 21827, Caracas 1020A, Venezuela
3
Institute for Condensed Matter Physics,
National Academy of Sciences of Ukraine,
1 Svientsitskii Str., Lviv, 79011 Ukraine
4
Ivan Franko National University of Lviv,
12 Drahomanov Str., Lviv, 79005 Ukraine
Corresponding author: a berche@lpm.u-nancy.fr
Received:
7
July
2003
Revised:
9
September
2003
Published online:
28
October
2003
The influence of non magnetic impurities in the 2d XY model is investigated through Monte Carlo (MC) simulations. The general picture of the transition is fully understood from the Harris criterion which predicts that the universality class is unchanged, and the Berezinskii-Kosterlitz-Thouless description of the topological transition remains valid. We nevertheless address here the question about the influence of dilution on the quasi-long-range order at low temperatures. In particular, we study the asymptotic of the pair correlation function and report the MC estimates for the critical exponent η at different dilutions. In the weak dilution region, our MC calculations are further supported by simple spin-wave-like calculations.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 64.60.Fr – Equilibrium properties near critical points, critical exponents / 75.10.Hk – Classical spin models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
