Low-temperature series expansions for the FCC Ising antiferromagnet
- 30 September 1981
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 14 (27) , 3927-3934
- https://doi.org/10.1088/0022-3719/14/27/015
Abstract
Investigates, by low-temperature series expansions, a spin-1/2 Ising model on a face-centred cubic lattice and antiferromagnetic nearest-neighbour coupling and a small second-neighbour interaction, J2. The high ground state degeneracy, which exists for J2=0, is removed when the corresponding free energies are evaluated at finite temperature. The only stable phases for J2 not too large are two simple antiferromagnetic arrangements, corresponding to the ground states for J2>0 and for J2<0. No other phases, with longer periodicity, appear at finite temperature, in contrast to the three-dimensional ANNNI model.Keywords
This publication has 11 references indexed in Scilit:
- The Devil's staircase and harmless staircase. I. Oscillating interactions through elastic strains or other harmonic fieldsJournal of Physics C: Solid State Physics, 1980
- 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
- Monte Carlo studies of an fcc Ising antiferromagnet with nearest- and next-nearest-neighbor interactionsPhysical Review B, 1980
- Low-temperature expansion for lattice systems with many ground statesJournal of Statistical Physics, 1979
- Monte Carlo Study of an Ordering Alloy on an fcc LatticePhysical Review Letters, 1979
- Characteristics of superlattice formation in alloys of face centered cubic structureActa Metallurgica, 1974
- Long range order and critical temperature of a face centred cubic Ising antiferromagnetPhysics Letters, 1965
- Low-Temperature Behavior of a Face-Centered Cubic AntiferromagnetPhysical Review B, 1964
- Ground State of an Ising Face-Centered Cubic LatticePhysical Review Letters, 1961