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

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  • Frank, B.

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.

Suggested Citation

  • Frank, B., 1988. "Susceptibility divergence of the spin 1 Ising model on the Cayley tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(1), pages 21-33.
    • Handle: RePEc:eee:phsmap:v:154:y:1988:i:1:p:21-33
    DOI: 10.1016/0378-4371(88)90179-3
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