Textural Singularities and Frustration in Random-Anisotropy and Random-Field Models
- 8 January 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 42 (2) , 125-129
- https://doi.org/10.1103/physrevlett.42.125
Abstract
Spin models with random anisotropic fields and random magnetic fields are studied. It is shown that integral-index textural singularities of these fields act as disclination sources and participate in destroying long-range ferromagnetic order. Half-integral-index singularities give rise to frustration. The relation of these models to bond disordered spin-glasses is discussed.Keywords
This publication has 14 references indexed in Scilit:
- Spin-Glass and Ferromagnetic Behavior Induced by Random Uniaxial AnisotropyPhysical Review Letters, 1978
- Frustration and ground-state degeneracy in spin glassesPhysical Review B, 1977
- Theory of the frustration effect. II. Ising spins on a square latticeJournal of Physics C: Solid State Physics, 1977
- Mean field and-expansion study of spin glassesPhysical Review B, 1977
- Spin glass with non-random interactionsJournal of Physics C: Solid State Physics, 1977
- On the lowering of dimensionality in phase transitions with random fieldsJournal of Physics C: Solid State Physics, 1977
- Lowering of Dimensionality in Phase Transitions with Random FieldsPhysical Review Letters, 1976
- Ferromagnetic Phase Transitions in Random Fields: The Breakdown of Scaling LawsPhysical Review Letters, 1976
- Critical behavior of amorphous magnetsPhysical Review B, 1975
- New Model for Amorphous MagnetismPhysical Review Letters, 1973