Critical behavior of anisotropic cubic systems in the limit of infinite spin dimensionality

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Abstract

The zero-field critical behavior above Tc of ferromagnets (or ferroelectrics) with a Hamiltonian of cubic symmetry is studied, in d space dimensions, in the limit of infinite spin dimensionality, n, with the cubic term of order unity, but the usual S4 term of order n-1. A diagrammatic expansion about an Ising model (instead of the normal Gaussian model) is used. Characteristic cubic behavior is discovered, with renormalized Ising-model exponents (in the Fisher sense).

Original languageEnglish
Pages (from-to)1494-1497
Number of pages4
JournalPhysical Review Letters
Volume31
Issue number25
DOIs
StatePublished - 1 Jan 1973
Externally publishedYes

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