Stability of critical behaviour of weakly disordered systems to introduction of potentials with replica symmetry breaking

Abstract

A field-theoretic description of the critical behaviour of the weakly disordered systems with p-component order parameter is given. Directly, for three-dimensional systems a renormalization analysis of the effective replicated Hamiltonian of a model with replica symmetry breaking (RSB) potentials is carried out in the two-loop approximation. For the case with first-step RSB the fixed points (FPs) corresponding to stability of the various types of critical behaviour are identified with the use of the Pade-Borel summation technique. Analysis of FPs has shown a stability of the critical behaviour of the weakly disordered systems with respect to RSB effects and realization of the former scenario of disorder influence on critical behaviour.