Randomly dilute spin models with cubic symmetry

Details Randomly dilute spin models with cubic symmetry Randomly dilute spin models with cubic symmetry

2002-02-18

arxiv.org/abs/cond-mat/0202292v2

Phys.Rev. B67 (2003) 024418

Physics

Condensed Matter

Statistical Mechanics

23 pages, 1 figures

Scientific paper

10.1103/PhysRevB.67.024418

We study the combined effect of cubic anisotropy and quenched uncorrelated impurities on multicomponent spin models. For this purpose, we consider the field-theoretical approach based on the Ginzburg-Landau-Wilson $\phi^4$ Hamiltonian with cubic-symmetric quartic interactions and quenched randomness coupled to the local energy density. We compute the renormalization-group functions to six loops in the fixed-dimension (d=3) perturbative scheme. The analysis of such high-order series provides an accurate description of the renormalization-group flow. The results are also used to determine the critical behavior of three-dimensional antiferromagnetic three- and four-state Potts models in the presence of quenched impurities.

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