Spin Glass Theory
A spin glass is a disordered magnet: in a typical example 50% of the bonds (randomly chosen) between two spins are ferromagnetic while the others are antiferromagnetic. From the experimental point of view(1) spin glasses are characterized by the presence of a low temperature phase in which the relaxation time toward equilibrium is very large (as in real glasses). The magnetic susceptibility in the presence of a time dependent magnetic field depends on the frequency also in the region of a few Hertz.
KeywordsConfiguration Space Spin Glass Free Energy Density Replica Method Replica Symmetry
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- 1.For a nice short experimental review of spin glasses see J. A. Mydosh, in “Disordered Systems and Localization”, ed. by C. Castellani, C. Di Castro and L. Peliti, Springer-Verlag (1981).Google Scholar
- 2.N. Sourlas LPTENS preprint 85/9 (1985).Google Scholar
- 3.G. Parisi, Phys. Rev. Lett. 43, 1754 (1979), J. Phys. A13, 1101, 1887, L115 (1980). For a recent theoretical review see M. Mezard, G. Parisi, M. Virasoro “Spin Glass Theory and Beyond”, World Scientific, Singapore (1987).Google Scholar
- 4.D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975); Phys. Rev. B17, 4384 (1978).Google Scholar
- 6.J.R.L. de Almeida and D.J. Thouless, J. Phys, All, 983 (1978).Google Scholar
- 9.M. Mezard, G. Parisi, N. Sourlas, G. Toulouse and M. Virasoro, Phys. Rev. Lett., 1156 (1984); J. Physique 9a, 843 (1984)Google Scholar
- 10.H. Sompolinsky and A. Zippelius, Phys. Rev. Lett. 50, 1297 (1983) and references therein.Google Scholar
- 12.A. P. Young, Phys. Rev. Lett. 43, 1206 ( 1983 ); K. Namoto, Hoikkaido University Preprint (1986).Google Scholar
- 14.C. De Dominicis and I. Kondor J. Physique Lett., L1037 (1985) and references therein.Google Scholar