Susceptibility divergence of the spin 1 Ising model on the Cayley tree

B. Frank

Physica A: Statistical Mechanics and its Applications, 1988, vol. 154, issue 1, 21-33

Abstract: The temperature T2(1), below which the zero-field isothermal susceptibility diverges for the spin 1 Ising model on the M-generation Cayley tree, in the limit as M → ∞, is located. The general approach follows closely that of Falk for the spin 12 problem. Pruning and retraction identities are used to find upper and lower bounds on the bond-length dependence of the general two-spin correlation function and thence on the susceptibility. A conjecture is advanced regarding the divergence of the higher-order susceptibilities.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:154:y:1988:i:1:p:21-33

DOI: 10.1016/0378-4371(88)90179-3

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