Classical antiferromagnet on a hyperkagome lattice
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Motivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the classical antiferromagnet on a frustrated three-dimensional lattice obtained by selectively removing one of four sites in each tetrahedron of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.
Cite
@article{arxiv.cond-mat/0611231,
title = {Classical antiferromagnet on a hyperkagome lattice},
author = {John M. Hopkinson and Sergei V. Isakov and Hae-Young Kee and Yong Baek Kim},
journal= {arXiv preprint arXiv:cond-mat/0611231},
year = {2007}
}
Comments
4 pages, 6 figures, published version