Classical antiferromagnet on a hyperkagome lattice

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dc.creatorHopkinson, John M.
dc.creatorIsakov, Sergei V.
dc.creatorKee, Hae-Young
dc.creatorKim, Yong Baek
dc.date2006-11-08
dc.date2007-07-26
dc.date.accessioned2026-07-07T08:20:32Z
dc.date.available2026-07-07T08:20:32Z
dc.descriptionMotivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the classical antiferromagnet on a frustrated three-dimensional lattice obtained by selectively removing one of four sites in each tetrahedron of the pyrochlore lattice. This ``hyperkagome'' lattice consists of corner-sharing triangles. We present the results of large-N mean field theory and Monte Carlo computations on O(N) classical spin models. It is found that the classical ground states are highly degenerate. Nonetheless a nematic order emerges at low temperatures in the Heisenberg model (N=3) via ``order by disorder'', representing the dominance of coplanar spin configurations. Implications for ongoing experiments are discussed.
dc.description4 pages, 6 figures, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0611231
dc.identifierhttp://arxiv.org/abs/cond-mat/0611231
dc.identifierPhys. Rev. Lett. 99, 037201 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.037201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135097
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectStrongly Correlated Electrons
dc.titleClassical antiferromagnet on a hyperkagome lattice
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