Direct estimates for η from series analysis for several lattice models

High temperature series expansions for susceptibility and second moment of the correlation functions are used to obtain series for the susceptibility in terms of the correlation length. Using standard methods for series analysis we can obtain direct estimates for 2 − η. We have done this for several...

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Bibliographic Details
Published in:Physica A 1982-01, Vol.112 (1), p.303-314
Main Author: Rogiers, J.
Format: Article
Language:English
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Summary:High temperature series expansions for susceptibility and second moment of the correlation functions are used to obtain series for the susceptibility in terms of the correlation length. Using standard methods for series analysis we can obtain direct estimates for 2 − η. We have done this for several two- and three-dimensional lattice models with nearest neighbour interactions. For two-dimensional models for which the dimension of the order parameter is greater than one we present the first series estimates for η. Indications that correction terms to the leading singularity are important are given. This method may provide an answer to the problem of hyperscaling.
ISSN:0378-4371
1873-2119
DOI:10.1016/0378-4371(82)90221-7