Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
- 15 March 2001
- journal article
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 70 (3) , 640-643
- https://doi.org/10.1143/jpsj.70.640
Abstract
The ground state of the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice is theoretically investigated. Starting from the limit of isolated tetrahedra, I include interactions between the tetrahedra and obtain an effective model for the spin-singlet ground state multiplet by third-order perturbation. I determine its ground state using the mean-field approximation and found a dimerized state with a four-sublattice structure, which agrees with the proposal by Harris et al. I also discuss chirality correlations and spin correlations for this state.Comment: 4 pages in 2-column format, 5 figures; To appear in J. Phys. Soc. Jpn. (Mar, 2001Keywords
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