TY - JOUR

T1 - Critical behavior of anisotropic cubic systems in the limit of infinite spin dimensionality

AU - Aharony, Amnon

PY - 1973/1/1

Y1 - 1973/1/1

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=4043100109&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.31.1494

DO - 10.1103/PhysRevLett.31.1494

M3 - Article

AN - SCOPUS:4043100109

VL - 31

SP - 1494

EP - 1497

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 25

ER -