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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2001, Volume 73, Issue 3, Pages 153–158
(Mi jetpl4310)
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This article is cited in 1 scientific paper (total in 1 paper)
CONDENSED MATTER
Stability of the critical behavior of weakly disordered systems against replica symmetry breaking
V. V. Prudnikov, P. V. Prudnikov, A. A. Fedorenko Omsk State University
Abstract:
A field-theoretical approach is used to describe the critical behavior of weakly disordered systems with a $p$-component order parameter. Renormalization group (RG) analysis of the effective replica Hamiltonian of a model with replica-unsymmetrical interaction potential is carried out in a two-loop approximation directly for three-dimensional systems. The Padé–Borel summation technique is used to determine fixed points of the RG equations for the case of a single-step replica symmetry breaking (RSB). Analysis of their stability showed that the type of stable critical behavior of the disordered systems against the RSB effects remains as before.
Received: 09.11.2000 Revised: 18.12.2000
Citation:
V. V. Prudnikov, P. V. Prudnikov, A. A. Fedorenko, “Stability of the critical behavior of weakly disordered systems against replica symmetry breaking”, Pis'ma v Zh. Èksper. Teoret. Fiz., 73:3 (2001), 153–158; JETP Letters, 73:3 (2001), 135–140
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https://www.mathnet.ru/eng/jetpl4310 https://www.mathnet.ru/eng/jetpl/v73/i3/p153
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