Spontaneous versus explicit replica symmetry breaking in the theory of disordered systems

2009/12/18 by D. Mouhanna, Gilles Tarjus, G. Tarjus
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.81.051101

published as Phys. Rev. E 81, 051101 (2010) · 16 pages

arxiv created 2009/12/18 · openalex publication_date 2010/05/03 · arxiv updated 2010/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the relation between spontaneous and explicit replica symmetry breaking in the theory of disordered systems. On general ground, we prove the equivalence between the replicon operator associated with the stability of the replica-symmetric solution in the standard replica scheme and the operator signaling a breakdown of the solution with analytic field dependence in a scheme in which replica symmetry is explicitly broken by applied sources. This opens the possibility to study, via the recently developed functional renormalization group, unresolved questions related to spontaneous replica symmetry breaking and spin-glass behavior in finite-dimensional disordered systems.

Citations

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