Inverse susceptibility expansions for the Ising and classical vector models

11 October 1974

journal article
Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General

Vol. 7 (15) , 1918-1933
https://doi.org/10.1088/0305-4470/7/15/018

Abstract

A new method of deriving high temperature series expansions for the susceptibility of the Ising and classical vector spin models is presented. The method involves generating the expansion for the inverse of the susceptibility, in which case only contributions from star graphs need to be considered. An additional term (the thirteenth) has been added to the Ising high temperature susceptibility series for the FCC lattice. Analysis of the extended series does not indicate that revision of previous critical estimates is required. In a test of the capabilities of the method for other systems, seven terms of the susceptibility series of the FCC Heisenberg and planar vector models have been reproduced. Techniques used in generating the graph data are discussed.

Keywords

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