Pattern formation in the dipolar Ising model on a two-dimensional honeycomb lattice
Abstract
We present Monte Carlo simulation results for a two-dimensional Ising model with ferromagnetic nearest-neighbor couplings and a competing long-range dipolar interaction on a honeycomb lattice. Both structural and thermodynamic properties are very similar to the case of a square lattice, with the exception that structures reflect the sixfold rotational symmetry of the underlying honeycomb lattice. To deal with the long-range nature of the dipolar interaction we also present a simple method of evaluating effective interaction coefficients, which can be regarded as a more straightforward alternative to the prevalent Ewald summation techniques.
- Publication:
-
Physical Review B
- Pub Date:
- July 2012
- DOI:
- 10.1103/PhysRevB.86.024431
- arXiv:
- arXiv:1207.1864
- Bibcode:
- 2012PhRvB..86b4431R
- Keywords:
-
- 75.70.Kw;
- 75.40.Mg;
- 75.60.Ch;
- Domain structure;
- Numerical simulation studies;
- Domain walls and domain structure;
- Condensed Matter - Statistical Mechanics;
- Physics - Computational Physics
- E-Print:
- 5 pages, 5 figures