Quantum Disordered Ground States in Frustrated Antiferromagnets with Multiple Ring Exchange Interactions
Strongly Correlated Electrons
2009-11-11 v1
Abstract
We present a certain class of two-dimensional frustrated quantum Heisenberg spin systems with multiple ring exchange interactions which are rigorously demonstrated to have quantum disordered ground states without magnetic long-range order. The systems considered in this paper are s=1/2 antiferromagnets on a honeycomb and square lattices, and an s=1 antiferromagnet on a triangular lattice. We find that for a particular set of parameter values, the ground state is a short-range resonating valence bond state or a valence bond crystal state. It is shown that these systems are closely related to the quantum dimer model introduced by Rokhsar and Kivelson as an effective low-energy theory for valence bond states.
Cite
@article{arxiv.cond-mat/0501698,
title = {Quantum Disordered Ground States in Frustrated Antiferromagnets with Multiple Ring Exchange Interactions},
author = {Satoshi Fujimoto},
journal= {arXiv preprint arXiv:cond-mat/0501698},
year = {2009}
}
Comments
6 pages, 4 figures