Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-12-21
Phys. Rev. B 63, 184201 (2001)
Physics
Condensed Matter
Disordered Systems and Neural Networks
10 pages, RevTeX. Version 3 adds the $\beta$ functions for arbitrary dimension of system
Scientific paper
10.1103/PhysRevB.63.184201
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.
Fedorenko Andrei A.
Prudnikov Pavel V.
Prudnikov Vladimir V.
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