Correlations in Ising chains with non-integrable interactions
摘要
Two-spin correlations generated by interactions which decay with distance r as r^{-1-sigma} with -1 <sigma <0 are calculated for periodic Ising chains of length L. Mean-field theory indicates that the correlations, C(r,L), diminish in the thermodynamic limit L -> \infty, but they contain a singular structure for r/L -> 0 which can be observed by introducing magnified correlations, LC(r,L)-\sum_r C(r,L). The magnified correlations are shown to have a scaling form F(r/L) and the singular structure of F(x) for x->0 is found to be the same at all temperatures including the critical point. These conclusions are supported by the results of Monte Carlo simulations for systems with sigma =-0.50 and -0.25 both at the critical temperature T=Tc and at T=2Tc.
引用
@article{arxiv.cond-mat/9509038,
title = {Correlations in Ising chains with non-integrable interactions},
author = {B. Bergersen and Z. Racz and H. -J. Xu},
journal= {arXiv preprint arXiv:cond-mat/9509038},
year = {2009}
}
备注
13 pages, latex, 5 eps figures in a separate uuencoded file, to appear in Phys.Rev.E