Random-Field Instability of the Ordered State of Continuous Symmetry
- 24 November 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 35 (21), 1399-1401
- https://doi.org/10.1103/physrevlett.35.1399
Abstract
We consider phase transitions in systems where the field conjugate to the order parameter is static and random. It is demonstrated that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions. The borderline dimensionality above which mean-field-theory results hold is six.This publication has 11 references indexed in Scilit:
- Neutron-scattering study of the "one-dimensional" conductor Pt.3.2O (KCP)Physical Review B, 1975
- Critical properties of random-spin models from theexpansionPhysical Review B, 1975
- The renormalization group and the ε expansionPhysics Reports, 1974
- Effect of random defects on the critical behaviour of Ising modelsJournal of Physics C: Solid State Physics, 1974
- Neutron-Scattering Study of the Structural Phase Transition in the One-Dimensional Conductor PtOPhysical Review Letters, 1974
- Introduction to the Renormalization GroupReviews of Modern Physics, 1973
- Existence of Long-Range Order in One and Two DimensionsPhysical Review B, 1967
- Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg ModelsPhysical Review Letters, 1966
- On the Theory of Spin Waves in Ferromagnetic MediaPhysical Review B, 1951
- Zur Theorie des FerromagnetismusThe European Physical Journal A, 1930