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

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.

10 pages, IOP style

References in corpus (3)

• Weak quenched disorder and criticality: resummation of asymptotic(?) series
• Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking
• Spin-Glass Phase in the Random Temperature Ising Ferromagnet

Cited by in corpus (5)

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• The three-dimensional randomly dilute Ising model: Monte Carlo results
• Critical behavior of the 2D Ising model with long-range correlated disorder
• Nonequilibrium critical relaxation in the presence of extended defects
• Replica symmetry breaking for anisotropic magnets with quenched disorder