Theory of correlation and susceptibility based on the confluent transfer matrix and its associated transfer matrix

Hiroto Kobayashi and Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 3, 619-639

Abstract: The correlation function and susceptibility of the Ising model on regular lattices are shown to be studied from the CAM analysis of a systematic series of hierarchical models such as generalized cactus trees by introducing a new transfer matrix associated with the confluent transfer matrix. In this method, the singularity of the correlation length can be obtained. Each systematic solution yields the exponents ν=1, γ=1 and η=1.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:3:p:619-639

DOI: 10.1016/0378-4371(93)90071-B

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