Critical behaviour of anisotropic cubic systems

Published under licence by IOP Publishing Ltd
, , Citation D J Wallace 1973 J. Phys. C: Solid State Phys. 6 1390 DOI 10.1088/0022-3719/6/8/007

This article is corrected by 1974 J. Phys. C: Solid State Phys. 7 4551

0022-3719/6/8/1390

Abstract

The critical behavior of an anisotropic classical Heisenberg ferromagnet with cubic point-group symmetry is studied in the limit where the spin-dimensionality N is large. The system is shown to undergo a first order phase transition. Corrections of order 1/N are calculated for a critical exponent describing the behaviour of the transverse susceptibility in zero magnetic field below the critical temperature. For small anisotropy and to order 1/N the equation of state is identical to the isotropic calculation when expressed in terms of longitudinal and transverse susceptibilities, temperature and magnetization, except for a shift in the critical temperature.

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