Lower Critical Dimension and the Roughening Transition of the Random-Field Ising Model
- 4 May 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 46 (18), 1173-1177
- https://doi.org/10.1103/physrevlett.46.1173
Abstract
It is shown by a calculation analogous to that carried out by Wallace and Zia for the pure Ising model that the lower critical dimension of the Ising model in a random field is 3 and not 2 as suggested by domain energy arguments. Further, the critical dimension for the roughening transition is shown to be 5 as compared to 3 for the pure Ising model.Keywords
This publication has 19 references indexed in Scilit:
- Phase Diagrams and Multicritical Points in Randomly Mixed AlloysPhysical Review Letters, 1981
- Competing Order Parameters in Quenched Random Alloys:Physical Review Letters, 1980
- Experimental Verification of Random-Field Critical and Multicritical BehaviorPhysical Review Letters, 1980
- Random field effects in disordered anisotropic antiferromagnetsJournal of Physics C: Solid State Physics, 1979
- Euclidean Group as a Dynamical Symmetry of Surface Fluctuations: The Planar Interface and Critical BehaviorPhysical Review Letters, 1979
- Random Magnetic Fields, Supersymmetry, and Negative DimensionsPhysical Review Letters, 1979
- Influence of quenched impurities on first-order phase transitionsPhysical Review B, 1979
- Random-Field Instability of the Ordered State of Continuous SymmetryPhysical Review Letters, 1975
- The phase separation line in the two-dimensional Ising modelCommunications in Mathematical Physics, 1972
- Interfacial Density Profile for Fluids in the Critical RegionPhysical Review Letters, 1965