The random anisotropy axis model in the infinite-range limit
- 20 June 1980
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 13 (17) , 3261-3269
- https://doi.org/10.1088/0022-3719/13/17/016
Abstract
The authors study the thermodynamic properties of the random-anisotropy-axis model of amorphous magnets when the interaction range becomes infinite. This model is exactly soluble and has a ferromagnetic second-order phase transition at the same temperature as the pure n component spin system. There is no spin glass phase and mean-field theory is rigorously justified in this case. Explicit expressions are given for the magnetisation, specific heat and susceptibility near the transition and at low temperature, in the limit of strong anisotropy.Keywords
This publication has 14 references indexed in Scilit:
- Textural Singularities and Frustration in Random-Anisotropy and Random-Field ModelsPhysical Review Letters, 1979
- The role of structure in the magnetic properties of amorphous alloysPhysics Reports, 1978
- Metastable states in the random anisotropy model for amorphous ferromagnetsJournal of Physics F: Metal Physics, 1978
- Infinite-ranged models of spin-glassesPhysical Review B, 1978
- Linear specific heat of an amorphous magnet due to single-ion excitationsJournal de Physique Lettres, 1978
- Hysteresis curves and magnetization processes in a model for an amorphous magnet with random uniaxial anisotropyJournal of Applied Physics, 1977
- Initial magnetization, remanence, and coercivity of the random anisotropy amorphous ferromagnetPhysical Review B, 1977
- Comparison of the self-consistent mean-random-field approximation with theexpansion of Sherrington and Kirkpatrick for spin glasses and with experimentPhysical Review B, 1976
- Critical behavior of amorphous magnetsPhysical Review B, 1975
- New Model for Amorphous MagnetismPhysical Review Letters, 1973