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High-temperature analysis reveals the spin-spin correlation in the Ising model, suggesting implications for theoretical understanding.
High-temperature series expansions for the Ising model's spin-spin correlation function are found to order (J/kT)¹² on the simple cubic, bcc, and fcc latices. Analysis of moment series indicates that the scaling form of the correlation function is correct, at least in the limit κr fixed, κ→0. Values are obtained for the correlation indices ν and η-the latter by two methods, thereby providing a direct check on the scaling law.
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Moore et al. (1969) studied this question.
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