Spin-stiffness and topological defects in two-dimensional frustrated spin systems
Abstract
Using a {\it collective} Monte Carlo algorithm we study the low-temperature and long-distance properties of two systems of two-dimensional classical tops. Both systems have the same spin-wave dynamics (low-temperature behavior) as a large class of Heisenberg frustrated spin systems. They are constructed so that to differ only by their topological properties. The spin-stiffnesses for the two systems of tops are calculated for different temperatures and different sizes of the sample. This allows to investigate the role of topological defects in frustrated spin systems. Comparisons with Renormalization Group results based on a Non Linear Sigma model approach and with the predictions of some simple phenomenological model taking into account the topological excitations are done.
Cite
@article{arxiv.cond-mat/0012397,
title = {Spin-stiffness and topological defects in two-dimensional frustrated spin systems},
author = {Michel Caffarel and Patrick Azaria and Bertrand Delamotte and Dominique Mouhanna},
journal= {arXiv preprint arXiv:cond-mat/0012397},
year = {2009}
}
Comments
RevTex, 25 pages, 14 figures, Minor changes, final version. To appear in Phys.Rev.B