Generalised Shastry-Sutherland Models in three and higher dimensions
Strongly Correlated Electrons
2009-11-07 v2
Abstract
We construct Heisenberg anti-ferromagnetic models in arbitrary dimensions that have isotropic valence bond crystals (VBC) as their exact ground states. The d=2 model is the Shastry-Sutherland model. In the 3-d case we show that it is possible to have a lattice structure, analogous to that of SrCu_2(BO_3)_2, where the stronger bonds are associated with shorter bond lengths. A dimer mean field theory becomes exact at d -> infinity and a systematic 1/d expansion can be developed about it. We study the Neel-VBC transition at large d and find that the transition is first order in even but second order in odd dimensions.
Cite
@article{arxiv.cond-mat/0112507,
title = {Generalised Shastry-Sutherland Models in three and higher dimensions},
author = {Naveen Surendran and R. Shankar},
journal= {arXiv preprint arXiv:cond-mat/0112507},
year = {2009}
}
Comments
Published version; slightly expanded