English

Perturbation expansion for the diluted two-dimensional XY model

Statistical Mechanics 2010-07-06 v1

Abstract

We study the quasi-long-range ordered phase of a 2D XY model with quenched site-dilution using the spin-wave approximation and expansion in the parameter which characterizes the deviation from completely homogeneous dilution. The results, obtained by keeping the terms up to the third order in the expansion, show good accordance with Monte Carlo data in a wide range of dilution concentrations far enough from the percolation threshold. We discuss different types of expansion.

Keywords

Cite

@article{arxiv.cond-mat/0611712,
  title  = {Perturbation expansion for the diluted two-dimensional XY model},
  author = {Oleksandr Kapikranian and Bertrand Berche and Yurij Holovatch},
  journal= {arXiv preprint arXiv:cond-mat/0611712},
  year   = {2010}
}

Comments

8 pages, 1 eps figure, style file included

R2 v1 2026-07-22T11:40:19.138Z