Correlations in Ising chains with non-integrable interactions

Details Correlations in Ising chains with non-integrable interactions Correlations in Ising chains with non-integrable interactions

1995-09-07

arxiv.org/abs/cond-mat/9509038v1

Physics

Condensed Matter

13 pages, latex, 5 eps figures in a separate uuencoded file, to appear in Phys.Rev.E

Scientific paper

10.1103/PhysRevE.52.6031

Two-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.

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