The phase diagram of the next-neighbour Ising model of the face-centred cubic lattice
Abstract
We use Monte Carlo simulation to determine the stable structures in the second-neighbour Ising model on the face-centred cubic lattice. Those structures are $\text{L1}_1$ ?> for strongly antiferromagnetic second-neighbour interactions and $\text{L1}_0$ ?> for ferromagnetic and weakly antiferromagnetic second neighbours. We find a third stable "intermediate" antiferromagnetic phase with $\text{I4}_1/amd$ ?> symmetry, and calculate the paramagnetic transition temperature for each. The transition temperature depends strongly on second-neighbour interactions which are not frustrated. We determine a sublattice structure suitable for solving this problem with mean-field theory.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- May 2023
- DOI:
- 10.1209/0295-5075/acd07c
- arXiv:
- arXiv:2301.00869
- Bibcode:
- 2023EL....14241003A
- Keywords:
-
- Condensed Matter - Statistical Mechanics