Critical behaviour and cubic anisotropy
- 1 December 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (12) , 2000-2017
- https://doi.org/10.1088/0305-4470/8/12/016
Abstract
The influence of the cubic anisotropy both in the quadratic and quartic part of an n-component 'spin' Hamiltonian is examined in the framework of a parquet-graph summation. For values of the anisotropy parameter f larger than a critical value, f-, a first-order transition occurs which corresponds to the appearance of complex fixed points in the renormalization group approach. On the other hand for f4 and m<-8 the system has a strongly cubic behaviour whereas 0<m<4 a weakly cubic behaviour is observed; the latter changes to pure isotropic behaviour for f to 0. For -8<m<0 the behaviour is strongly or weakly cubic depending on the values of the bare coupling constants.Keywords
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