Randomly dilute spin models with cubic symmetry

Calabrese, Pasquale and Pelissetto, Andrea and Vicari, Ettore (2003) Randomly dilute spin models with cubic symmetry. Physical review. B, Condensed matter and materials physics, 67 . 024418. ISSN 1550-235X

Abstract

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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