{ "id": "cond-mat/0012401", "version": "v3", "published": "2000-12-21T14:10:33.000Z", "updated": "2001-01-29T07:32:49.000Z", "title": "Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking", "authors": [ "V. V. Prudnikov", "P. V. Prudnikov", "A. A. Fedorenko" ], "comment": "10 pages, RevTeX. Version 3 adds the $\\beta$ functions for arbitrary dimension of system", "journal": "Phys. Rev. B 63, 184201 (2001)", "doi": "10.1103/PhysRevB.63.184201", "categories": [ "cond-mat.dis-nn" ], "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.", "revisions": [ { "version": "v3", "updated": "2001-01-29T07:32:49.000Z" } ], "analyses": { "keywords": [ "weakly disordered systems", "critical behaviour", "replica symmetry breaking", "pade-borel summation technique", "disorder influence" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "RevTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }