Reduced Density Matrices and Topological Order in a Quantum Dimer Model
Abstract
Resonating valence bond (RVB) liquids in two dimensions are believed to exhibit topological order and to admit no local order parameter of any kind. This is a defining property of "liquids" but it has been explicitly confirmed only in a few exactly solvable models. In this paper, we investigate the quantum dimer model on the triangular lattice. It possesses an RVB-type liquid phase, however, for which the absence of a local order parameter has not been proved. We examine the question numerically with a measure based on reduced density matrices. We find a scaling of the measure which strongly supports the absence of any local order parameter.
Cite
@article{arxiv.cond-mat/0607050,
title = {Reduced Density Matrices and Topological Order in a Quantum Dimer Model},
author = {Shunsuke Furukawa and Gregoire Misguich and Masaki Oshikawa},
journal= {arXiv preprint arXiv:cond-mat/0607050},
year = {2007}
}
Comments
6 pages, 3 figures. To appear in J. Phys.: Condens. Matter (Proceedings of "Highly Frustrated Magnets", Osaka (Japan), August 2006). Version 2: improved figures containing new data and minor changes in the text