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Replicon modes and stability of critical behaviour of disordered systems with respect to the continuous replica symmetry breaking

Andrei A. Fedorenko
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Abstract

A field-theory approach is used to investigate the ''spin-glass effects'' on the critical behaviour of systems with weak temperature-like quenched disorder. The renormalization group (RG) analysis of the effective Hamiltonian of a model with replica symmetry breaking (RSB) potentials of a general type is carried out in the two-loop approximation. The fixed-point (FP) stability, recently found within the one-step RSB RG treatment, is further explored in terms of replicon eigenvalues. We find that the traditional FPs, which are usually considered to describe the disorder-induced universal critical behaviour, remain stable when the continuous RSB modes are taken into account.

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Andrei A. Fedorenko. 2003-01-23. Replicon modes and stability of critical behaviour of disordered systems with respect to the continuous replica symmetry breaking. https://doi.org/10.1088/0305-4470%2F36%2F5%2F304

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