J. Phys. Soc. Jpn. 70 (2001) pp. 640-643  |Next Article|  |Table of Contents|
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Antiferromagnetic Quantum Spins on the Pyrochlore Lattice

Hirokazu Tsunetsugu

(Received December 25, 2000)

The ground state of the S=½ 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 find 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. ©2001 The Physical Society of Japan

KEYWORDS: geometrical frustration, Heisenberg antiferromagnet, pyrochlore lattice, dimerization, chirality
URL: http://jpsj.ipap.jp/link?JPSJ/70/640/
DOI: 10.1143/JPSJ.70.640

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