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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 68, Number 1, Pages 88–98
(Mi tmf5154)
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This article is cited in 10 scientific papers (total in 10 papers)
Correlation functions for anisotropic heisenberg model in zero magnetic field
R. R. Nigmatullin, V. A. Toboev
Abstract:
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.
Received: 24.04.1985
Citation:
R. R. Nigmatullin, V. A. Toboev, “Correlation functions for anisotropic heisenberg model in zero magnetic field”, TMF, 68:1 (1986), 88–98; Theoret. and Math. Phys., 68:1 (1986), 694–701
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https://www.mathnet.ru/eng/tmf5154 https://www.mathnet.ru/eng/tmf/v68/i1/p88
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Abstract page: | 402 | Full-text PDF : | 165 | References: | 40 | First page: | 1 |
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