Stability of the critical behavior of weakly disordered systems against replica symmetry breaking |
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Authors: | V V Prudnikov P V Prudnikov A A Fedorenko |
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Institution: | (1) Omsk State University, pr. Mira 55, Omsk, 644077, Russia |
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Abstract: | A field-theoretical approach is used to describe the critical behavior of weakly disordered systems with a p-component order parameter. Renormalization group (RG) analysis of the effective replica Hamiltonian of a model with replica-unsymmetrical interaction potential is carried out in a two-loop approximation directly for three-dimensional systems. The Padé-Borel summation technique is used to determine fixed points of the RG equations for the case of a single-step replica symmetry breaking (RSB). Analysis of their stability showed that the type of stable critical behavior of the disordered systems against the RSB effects remains as before. |
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