Reduced Density Matrices and Topological Order in a Quantum Dimer Model

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dc.creatorFurukawa, Shunsuke
dc.creatorMisguich, Gregoire
dc.creatorOshikawa, Masaki
dc.date2006-07-03
dc.date2006-12-09
dc.date.accessioned2026-07-07T07:57:27Z
dc.date.available2026-07-07T07:57:27Z
dc.descriptionResonating 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.
dc.description6 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
dc.identifierhttps://arxiv.org/abs/cond-mat/0607050
dc.identifierhttp://arxiv.org/abs/cond-mat/0607050
dc.identifierJ. Phys.: Condens. Matter 19, 145212 (2007)
dc.identifierdoi:10.1088/0953-8984/19/14/145212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127656
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleReduced Density Matrices and Topological Order in a Quantum Dimer Model
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