Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
Strongly Correlated Electrons
2009-11-07 v1 Statistical Mechanics
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.
Cite
@article{arxiv.cond-mat/0103231,
title = {Antiferromagnetic Quantum Spins on the Pyrochlore Lattice},
author = {Hirokazu Tsunetsugu},
journal= {arXiv preprint arXiv:cond-mat/0103231},
year = {2009}
}
Comments
4 pages in 2-column format, 5 figures; To appear in J. Phys. Soc. Jpn. (Mar, 2001)