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Ordering of dipolar Ising crystals

2000/05/05 by J. F. Fernandez, Julio Fernández‐Cestau, Juan J. Alonso +1 · 3 citations
Materials Science · Physics and Astronomy · #Magnetism in coordination complexes #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.62.53

published as Phys. Rev. B, v62, p53 (2000) · 13 pages, 4 eps figures, to be published in PRB. For related work, see http://pipe.unizar.es/~jff

arxiv created 2000/05/05 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, which 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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