Multiphase behavior and modulated ordering in soluble Ising models
- 1 January 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 23 (1) , 180-185
- https://doi.org/10.1103/physrevb.23.180
Abstract
A class of decorated spin-½ Ising models is introduced which mimics the axial next-nearestneighbor Ising (ANNNI) models. The models are solved exactly in terms of the properties of simple anisotropic Ising models. The phase diagrams in two and three dimensions resemble those for ANNNI models in that they exhibit a multiphase point at which many distinct phases meet. Likewise the local magnetization in each ordered phase is spatially modulated and characterized by a wave vector commensurate with the lattice. In three dimensions bicritical points also occur.Keywords
This publication has 11 references indexed in Scilit:
- Infinitely Many Commensurate Phases in a Simple Ising ModelPhysical Review Letters, 1980
- Spatially Modulated phase in ising models with competing interactionsJournal of Magnetism and Magnetic Materials, 1980
- Monte Carlo study of the spatially modulated phase in an Ising modelPhysical Review B, 1979
- Spin Flop, Supersolids, and Bicritical and Tetracritical PointsPhysical Review Letters, 1974
- The Two-Dimensional Ising ModelPublished by Harvard University Press ,1973
- Quasi-One-Dimensional and Quasi-Two-Dimensional Magnetic Systems: Determination of Crossover Temperature and Scaling with Anisotropy ParametersPhysical Review B, 1973
- Partial Test of the Universality Hypothesis: The Case of Different Coupling Strengths in Different Lattice DirectionsPhysical Review B, 1972
- Some Remarks on Perturbation Theory and Phase Transition with an Application to Anisotropic Ising ModelProgress of Theoretical Physics, 1970
- The theory of equilibrium critical phenomenaReports on Progress in Physics, 1967
- Transformations of Ising ModelsPhysical Review B, 1959