Spin order on pyrochlore lattices studied by the Self-Consistent Cluster Approach

dc.creatorGeertsma, Wiebe
dc.date2002-08-06
dc.date.accessioned2026-07-07T02:46:44Z
dc.date.available2026-07-07T02:46:44Z
dc.descriptionIn this paper we present a study of magnetic order of quantum Heisenberg spins on pyrochlore type lattices: a lattice of corner sharing tetrahedra. We use the Cluster Variation Approximation with the tetrahedron as basic cluster. We find that in case of anti-ferromagnetic nearest--neighbour exchange there is no long--range spin order at any finite temperature for any spin s. For ferromagnetic exchange and s=1/2 the spin system remains in a non-magnetic phase for all temperatures, while for s > 1/2 there is a finite order temperature. We derive the ground state phase diagram as a function of exchange anisotropy and tetragonal anisotropy and find regions of re--entrant behaviour. Magnetic fields can induce one or more magnetic transitions. Schottky--like anomalies appear in the specific heat, with on top signs of re--entrant behaviour. The limits of this Cluster Variation Approximations are discussed.
dc.descriptionLatex 50 pgs; 6 tables; 18 figures (eps)
dc.identifierhttps://arxiv.org/abs/cond-mat/0208119
dc.identifierhttp://arxiv.org/abs/cond-mat/0208119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19743
dc.subjectStrongly Correlated Electrons
dc.subjectMaterials Science
dc.titleSpin order on pyrochlore lattices studied by the Self-Consistent Cluster Approach
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