Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-11-08
Phys. Rev. Lett. 99, 037201 (2007)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 6 figures, published version
Scientific paper
10.1103/PhysRevLett.99.037201
Motivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the classical antiferromagnet on a frustrated three-dimensional lattice obtained by selectively removing one of four sites in each tetrahedron of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.
Hopkinson John M.
Isakov Sergei V.
Kee Hae-Young
Kim Yong Baek
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