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29 March 2024
 
  » arxiv » cond-mat/9509038

 Article overview


Correlations in Ising chains with non-integrable interactions
B. Bergersen ; Z. Racz ; H.-J. Xu ;
Date 7 Sep 1995
Subject cond-mat
AffiliationUBC), Z. Racz (Eotvos U.), and H.-J. Xu (U. Manitoba
AbstractTwo-spin correlations generated by interactions which decay with distance r as r^{-1-sigma} with -1 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.
Source arXiv, cond-mat/9509038
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