Antiferromagnetic Quantum Spins on the Pyrochlore Lattice

Details Antiferromagnetic Quantum Spins on the Pyrochlore Lattice Antiferromagnetic Quantum Spins on the Pyrochlore Lattice

2001-03-10

arxiv.org/abs/cond-mat/0103231v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages in 2-column format, 5 figures; To appear in J. Phys. Soc. Jpn. (Mar, 2001)

Scientific paper

10.1143/JPSJ.70.640

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.

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