Journal of Physical Studies 5(3/4), 285–292 (2001)
DOI: https://doi.org/10.30970/jps.05.285 CRITICAL BEHAVIOUR OF WEAKLY DISORDERED SYSTEMS WITH REPLICA SYMMETRY BREAKING POTENTIALSP. V. Prudnikov, V. V. Prudnikov
Department of Theoretical Physics, Omsk State University |
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 the model with replica symmetry breaking (RSB) potentials is carried out in the two-loop approximation. For the case with first-step RSB the fixed points (FPs) corresponding to the stability of the various types of critical behaviour are identified with the use of the Padé-Borel summation technique. The analysis of FPs has shown a stability of the critical behaviour of the weakly disordered three- and two-dimensional systems with respect to RSB effects and realization of the former scenario of disorder influence on critical behaviour. For the case of systems with arbitrary dimension from 3 to 4 the ranges of critical behaviour determined by the RSB effects are found for each value of the $p$-component order parameter without the use of $ε$-expansion. A comparison with the results of the $ε$-expansion calculations is carried out.
PACS number(s): 64.60.Ak, 64.60.Fr, 64.60.Ht