Symmetry breaking a la Parisi in the n-component SK model of a spin glass
- 20 December 1982
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 15 (35), 7165-7180
- https://doi.org/10.1088/0022-3719/15/35/014
Abstract
The m-component SK model of a spin glass is studied in the presence of a magnetic field H. Below the Gabay-Toulouse line, corresponding to the freezing of the transverse components, the replica symmetry is broken a la Parisi. Near Tc=1 analytic expressions for the free energy, the longitudinal (q1) and transverse (qT) order parameters are derived. Different behaviours are found in 'strong' (H2>>(1-T)3) and 'weak' (H23) fields, with a likely crossover. A brief discussion of stability is given. Possible relevance to experiments is examined.Keywords
This publication has 14 references indexed in Scilit:
- Instabilities of an-Vector Spin-Glass in a FieldPhysical Review Letters, 1982
- Critical behaviour at the spin glass transition in a magnetic fieldJournal of Physics C: Solid State Physics, 1982
- Equilibrium magnetization of a spin glass : is mean-field theory valid ?Journal de Physique Lettres, 1982
- Coexistence of Spin-Glass and Ferromagnetic OrderingsPhysical Review Letters, 1981
- Mean field theory for spin glassesPhysics Reports, 1980
- The infinite-ranged spin glass with m-component spinsJournal of Physics C: Solid State Physics, 1978
- Infinite-ranged models of spin-glassesPhysical Review B, 1978
- Stability of the Sherrington-Kirkpatrick solution of a spin glass modelJournal of Physics A: General Physics, 1978
- Solvable Model of a Spin-GlassPhysical Review Letters, 1975
- Theory of spin glassesJournal of Physics F: Metal Physics, 1975