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Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking

V. V. Prudnikov·P. V. Prudnikov·A. A. Fedorenko
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Abstract

A field-theoretic description of the critical behaviour of the weakly disordered systems is given. Directly, for three- and two-dimensional systems a renormalization analysis of the effective Hamiltonian of model with replica symmetry breaking (RSB) potentials is carried out in the two-loop approximation. For case with 1-step RSB the fixed points (FP's) corresponding to stability of the various types of critical behaviour are identified with the use of the Pade-Borel summation technique. Analysis of FP's has shown a stability of the critical behaviour of the weakly disordered systems with respect to RSB effects and realization of former scenario of disorder influence on critical behaviour.

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V. V. Prudnikov, P. V. Prudnikov, A. A. Fedorenko. 2001-01-29. Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking. https://doi.org/10.1103/physrevb.63.184201

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