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Classical antiferromagnet on a hyperkagome lattice

John M. Hopkinson·Sergei V. Isakov·Hae-Young Kee·Yong Baek Kim
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Abstract

Motivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the classical antiferromagnet on a frustrated three-dimensional lattice obtained by selectively removing one of four sites in each tetrahedron of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.

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John M. Hopkinson, Sergei V. Isakov, Hae-Young Kee, Yong Baek Kim. 2007-07-26. Classical antiferromagnet on a hyperkagome lattice. https://doi.org/10.1103/physrevlett.99.037201

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