Percolation properties of the 2D Heisenberg model
High Energy Physics - Lattice
2009-10-31 v2 Condensed Matter
Abstract
We analyze the percolation properties of certain clusters defined on configurations of the 2--dimensional Heisenberg model. We find that, given any direction \vec{n} in O(3) space, the spins almost perpendicular to \vec{n} form a percolating cluster. This result gives indications of how the model can avoid a previously conjectured Kosterlitz-Thouless phase transition at finite temperature T.
Cite
@article{arxiv.hep-lat/9905026,
title = {Percolation properties of the 2D Heisenberg model},
author = {B. Alles and J. J. Alonso and C. Criado and M. Pepe},
journal= {arXiv preprint arXiv:hep-lat/9905026},
year = {2009}
}
Comments
4 pages, 3 eps figures. Revised version (more clear abstract, some new references)