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Spin glasses: Experimental facts, theoretical concepts, and open questions

K. Binder* and A. P. Young*

K. Binder*

  • Institut für Physik, Universität Mainz, D-6500 Mainz, West Germany and Institut für Festkörperforschung, Kernforschungsanlage Jülich, D-5170 Jülich, Postfach 1913, West Germany

A. P. Young*

  • Department of Physics, University of California, Santa Cruz, California 95064 and Department of Mathematics, Imperial College of Science and Technology, London SX7 2BZ, England

  • *Present and permanent address.

Rev. Mod. Phys. 58, 801 – Published 1 October, 1986

DOI: https://doi.org/10.1103/RevModPhys.58.801

Abstract

This review summarizes recent developments in the theory of spin glasses, as well as pertinent experimental data. The most characteristic properties of spin glass systems are described, and related phenomena in other glassy systems (dielectric and orientational glasses) are mentioned. The Edwards-Anderson model of spin glasses and its treatment within the replica method and mean-field theory are outlined, and concepts such as "frustration," "broken replica symmetry," "broken ergodicity," etc., are discussed. The dynamic approach to describing the spin glass transition is emphasized. Monte Carlo simulations of spin glasses and the insight gained by them are described. Other topics discussed include site-disorder models, phenomenological theories for the frozen phase and its excitations, phase diagrams in which spin glass order and ferromagnetism or antiferromagnetism compete, the Neél model of superparamagnetism and related approaches, and possible connections between spin glasses and other topics in the theory of disordered condensed-matter systems.

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