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Randomly dilute spin models with cubic symmetry

Pasquale Calabrese·Andrea Pelissetto·Ettore Vicari
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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 $ϕ^4$ 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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Pasquale Calabrese, Andrea Pelissetto, Ettore Vicari. 2003-01-28. Randomly dilute spin models with cubic symmetry. https://doi.org/10.1103/physrevb.67.024418

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