Geodesic
Correlation functions for anisotropic heisenberg model in zero magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 88-98 
R. R. Nigmatullin; V. A. Toboev. Correlation functions for anisotropic heisenberg model in zero magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 88-98. http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a6/
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     title = {Correlation functions for anisotropic heisenberg model in zero magnetic field},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Analysis of the exact solution of the Ising model for a linear chain provides the basis for a scheme of systematic calculation of the correlation functions of arbitrary order for a system of spins coupled by the exchange interaction at temperatures above the critical point. The correlation functions can be calculated from the equation of long-range coupling that is derived; it has the form $\langle S_f^\alpha A\rangle=\eta_\alpha\langle\sigma_f^\alpha A\rangle$, where $\displaystyle\sigma_f^\alpha=\sum_{f'}A_{ff'}^\alpha S_{f'}^\alpha$ is the operator of the local field, $\eta_\alpha$ are the temperature parameters of the model, and $A_{ff'}^\alpha$ is the interaction potential, $\alpha=x,y,z$. A comparison is made with the exact solutions for the one- and two-dimensional Ising models.

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