Reduced Density Matrices and Topological Order in a Quantum Dimer Model

Details Reduced Density Matrices and Topological Order in a Quantum Dimer Model Reduced Density Matrices and Topological Order in a Quantum Dimer Model

2006-07-03

arxiv.org/abs/cond-mat/0607050v2

J. Phys.: Condens. Matter 19, 145212 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 3 figures. To appear in J. Phys.: Condens. Matter (Proceedings of "Highly Frustrated Magnets", Osaka (Japan), August

Scientific paper

10.1088/0953-8984/19/14/145212

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.

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