Mean-field expansion for spin models with medium-range interactions
统计力学
2008-11-26 v1 高能物理 - 格点
摘要
We study the critical crossover between the Gaussian and the Wilson-Fisher fixed point for general O(N)-invariant spin models with medium-range interactions. We perform a systematic expansion around the mean-field solution, obtaining the universal crossover curves and their leading corrections. In particular we show that, in three dimensions, the leading correction scales as being the range of the interactions. We compare our results with the existing numerical ones obtained by Monte Carlo simulations and present a critical discussion of other approaches.
引用
@article{arxiv.cond-mat/9903410,
title = {Mean-field expansion for spin models with medium-range interactions},
author = {A. Pelissetto and P. Rossi and E. Vicari},
journal= {arXiv preprint arXiv:cond-mat/9903410},
year = {2008}
}
备注
49 pages, 8 figures