Ordering of dipolar Ising crystals
J. F. Fernandez, J. J. Alonso
Abstract
We study Ising systems of spins with dipolar interactions. We find a simple approximate relation for the interaction energy between pairs of parallel lattice columns of spins running along the Ising spin direction. This relation provides insight into the relation between lattice geometry and the nature of the ordered state. It can be used to calculate ground state energies. We have also obtained ground state energies and ordering temperatures T0 from Monte Carlo simulations. Simple empirical relations, that give T0 for simple and body centered tetragonal lattices in terms of lattice parameters are also established. Finally, the nature of the ordered state and T0 are determined for Fe8 clusters, which crystallize on a triclinic lattice.
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