Anomalous Dimensionalities in the Spin-Glass Problem
- 27 March 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 40 (13) , 903-906
- https://doi.org/10.1103/physrevlett.40.903
Abstract
Arguments are given that the spin-glass problem has lower critical dimensionalities (below which no transition takes place) of 3 for vector spin-glasses and ≥ 2 for Ising spin-glasses. Thus for vector spin-glasses, the physical case is also at lower critical dimensionality, which is relevant to the peculiar behavior observed in classical spin-glass alloys.Keywords
This publication has 15 references indexed in Scilit:
- Series Study of a Spin-Glass Model in Continuous DimensionalityPhysical Review Letters, 1977
- Computer Model of Metallic Spin-GlassesPhysical Review Letters, 1977
- Real-space renormalization group calculations for spin glasses and dilute magnetsJournal of Physics C: Solid State Physics, 1976
- Phase transitions of a nearest-neighbor Ising-model spin glassPhysical Review B, 1976
- Critical Properties of Spin-GlassesPhysical Review Letters, 1976
- Principles of a classification of defects in ordered mediaJournal de Physique Lettres, 1976
- Theory of spin glassesJournal of Physics F: Metal Physics, 1975
- Magnetic Ordering in Gold-Iron AlloysPhysical Review B, 1972
- Numerical studies of localization in disordered systemsJournal of Physics C: Solid State Physics, 1972
- A ferromagnetic-antiferromagnetic model for copper-manganese and related alloysJournal of Physics and Chemistry of Solids, 1963