Weak quenched disorder and criticality: resummation of asymptotic(?) series

Details Weak quenched disorder and criticality: resummation of asymptotic(?) series Weak quenched disorder and criticality: resummation of asymptotic(?) series

2001-11-09

arxiv.org/abs/cond-mat/0111158v2

Int. J. Mod. Phys. B 16 (2002) 4027-4079

Physics

Condensed Matter

Disordered Systems and Neural Networks

Lectures given at the Second International Pamporovo Workshop on Cooperative Phenomena in Condensed Matter (28th July - 7th Au

Scientific paper

10.1142/S0217979202014760

In these lectures, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of available experimental and theoretical results as well as results of MC simulations of these phenomena. We concentrate on three cases: (i) uncorrelated random-site disorder, (ii) long-range-correlated random-site disorder, and (iii) random anisotropy. Today, the standard analytical description of critical behavior is given by renormalization group results refined by resummation of the perturbation theory series. The convergence properties of the series are unknown for most disordered models. The main object of these lectures is to discuss the peculiarities of the application of resummation techniques to perturbation theory series of disordered models.

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