Axial Ising model with third-neighbour interactions
- 20 May 1985
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 18 (14), L393-L399
- https://doi.org/10.1088/0022-3719/18/14/007
Abstract
A three-dimensional Ising model with competing interactions up to third-neighbour layers is analysed using low-temperature series expansions and mean field theory. New sequences of phases springing from multiphase lines are found and the crossover to the behaviour of the ANNNI model is studied. Results are related to experimental findings on alloys, ferroelectrics, and polytypes.Keywords
This publication has 17 references indexed in Scilit:
- Overview no. 40 Application of the ANNNI model to long-period superstructuresActa Metallurgica, 1985
- Phenomenological theory of successive phase transitions in TMATC-ZnJournal of Physics C: Solid State Physics, 1985
- On the equivalence of ANNNI model polytypes formed by square wave modulation and branching mechanismsJournal of Physics A: General Physics, 1984
- Branching processes in the ANNNI modelJournal of Physics A: General Physics, 1983
- Incommensurate-Commensurate Phase Transition in Rb2ZnBr4Journal of the Physics Society Japan, 1983
- Commensurate phases, incommensurate phases and the devil's staircaseReports on Progress in Physics, 1982
- Low temperature analysis of the axial next-nearest neighbour Ising model near its multiphase pointPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1981
- Infinitely Many Commensurate Phases in a Simple Ising ModelPhysical Review Letters, 1980
- Ising model with solitons, phasons, and "the devil's staircase"Physical Review B, 1980
- A Method of Determining the Ground State of the Extended-Range Classical Lattice Gas ModelProgress of Theoretical Physics, 1975