Finite size induced phenomena in 2D classical spin models
Statistical Mechanics
2010-07-06 v1 Disordered Systems and Neural Networks
Abstract
We make a short overview of the recent analytic and numerical studies of the classical two-dimensional XY and Heisenberg models at low temperatures. Special attention is being paid to an influence of finite system size L on the peculiarities of the low-temperature phase. In accordance with the Mermin-Wagner-Hohenberg theorem, spontaneous magnetisation does not appear in the above models at infinite L. However it emerges for the finite system sizes and leads to new features of the low-temperature behaviour.
Cite
@article{arxiv.cond-mat/0612231,
title = {Finite size induced phenomena in 2D classical spin models},
author = {O. Kapikranian and B. Berche and Yu. Holovatch},
journal= {arXiv preprint arXiv:cond-mat/0612231},
year = {2010}
}
Comments
4 pages, submitted to the proceedings of the 2nd International Conference on Quantum Electrodynamics and Statistical Physics (Kharkiv, Ukraine, 19-23 September, 2006)