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Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking | | V.V. Prudnikov
; P.V. Prudnikov
; A.A. Fedorenko
; | | Date: |
21 Dec 2000 | | Subject: | Disordered Systems and Neural Networks | 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. | | Source: | arXiv, cond-mat/0012401 | | Services: | Forum | Review | PDF | Favorites | |
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