ISSN:
1572-9613
Keywords:
disorder
;
state
;
finite volume
;
spin glass
;
interface
;
replicas
;
symmetry breaking
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We discuss replica symmetry breaking (RSB) in spin glasses. We update work in this area, from both the analytical and numerical points of view. We give particular attention to the difficulties stressed by Newman and Stein concerning the problem of constructing pure states in spin glass systems. We mainly discuss what happens in finite-dimensional, realistic spin glasses. Together with a detailed review of some of the most important features, facts, data, and phenomena, we present some new theoretical ideas and numerical results. We discuss among others the basic idea of the RSB theory, correlation functions, interfaces, overlaps, pure states, random field, and the dynamical approach. We present new numerical results for the behaviors of coupled replicas and about the numerical verification of sum rules, and we review some of the available numerical results that we consider of larger importance (for example, the determination of the phase transition point, the correlation functions, the window overlaps, and the dynamical behavior of the system).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018607809852
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