The planar pyrochlore: a Valence Bond Crystal
Abstract
Exact diagonalizations of the spin-1/2 Heisenberg model on the checkerboard lattice have been performed for sizes up to N=36 in the full Hilbert space and N=40 in the restricted subspace of first neighbor dimers. This antiferromagnet does not break SU(2) symmetry and displays long range order in 4-spin S=0 plaquettes. Both the symmetry properties of the spectrum and various correlations functions are extensively studied. At variance with the kagom{\'e} antiferromagnet, the Heisenberg quantum model on a checkerboard lattice is a Valence Bond Crystal. Some results concerning the 3-dimensionnal spin-1/2 pyrochlore magnet (for sizes 16 and 32) are also shown: this system could behave differently from its 2-dimensional analog.
Cite
@article{arxiv.cond-mat/0108070,
title = {The planar pyrochlore: a Valence Bond Crystal},
author = {J. -B. Fouet and M. Mambrini and P. Sindzingre and C. Lhuillier},
journal= {arXiv preprint arXiv:cond-mat/0108070},
year = {2016}
}
Comments
9 pages, 10 figures