Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
Abstract
Starting from the mean-field solution of a spin-orbital model of LiNiO, we derive an effective quantum dimer model (QDM) that lives on the triangular lattice and contains kinetic terms acting on 4-site plaquettes and 6-site loops. Using numerical exact diagonalizations and Green's function Monte Carlo simulations, we show that the competition between these kinetic terms leads to a resonating valence bond (RVB) state for a finite range of parameters. We also show that this RVB phase is connected to the RVB phase identified in the Rokhsar-Kivelson model on the same lattice in the context of a generalized model that contains both the 6--site loops and a nearest-neighbor dimer repulsion. These results suggest that the occurrence of an RVB phase is a generic feature of QDM with competing interactions.
Keywords
Cite
@article{arxiv.cond-mat/0603633,
title = {Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms},
author = {Francois Vernay and Arnaud Ralko and Federico Becca and Frederic Mila},
journal= {arXiv preprint arXiv:cond-mat/0603633},
year = {2009}
}
Comments
8 pages, 12 figures