Ordering of dipolar Ising crystals

Details Ordering of dipolar Ising crystals Ordering of dipolar Ising crystals

2000-05-05

arxiv.org/abs/cond-mat/0005110v1

Phys. Rev. B, v62, p53 (2000)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 4 eps figures, to be published in PRB. For related work, see http://pipe.unizar.es/~jff

Scientific paper

10.1103/PhysRevB.62.53

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 T_0 from Monte Carlo simulations. Simple empirical relations, that give T_0 for simple and body centered tetragonal lattices in terms of lattice parameters are also established. Finally, the nature of the ordered state and T_0 are determined for Fe_8 clusters, which crystallize on a triclinic lattice.

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