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An RVB Phase in the Triangular Lattice Quantum Dimer Model

Shivaji L. Sondhi

APSMar 1, 20015 citations

RVB theory of the Hubbard model on the triangular lattice

Udo Pecher, H. B�ttner

The European Physical Journal BJun 1, 19952 citations

Resonating Valence Bond Liquid Physics on the Triangular Lattice

Roderich Moessner, S. L. Sondhi

We give an account of the short-range RVB liquid phase on the triangular lattice, starting from an elementary introduction to quantum dimer models, including details of the overlap expansion used to generate them. The fate of its topological degeneracy under duality is discussed, as well as recent developments and its possible relevance for quantum computing.

arXiv:cond-mat/0205029Progress of Theoretical Physics SupplementJan 1, 200236 citations

Extent of the Z2 topological phase in the quantum dimer model

Marc Daniel Schulz, F. J. Burnell

Bulletin of the American Physical SocietyMar 14, 20160 citations

Dynamical correlations of the Quantum Dimer Model on the triangular lattice

Arnaud Ralko, Michel Ferrero, Federico Becca +2 more

Bulletin of the American Physical SocietyMar 15, 20060 citations

Reduced density matrices and topological order in a quantum dimer model

Shunsuke Furukawa, Grégoire Misguich, Masaki Oshikawa

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.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.

arXiv:cond-mat/0607050Journal of Physics Condensed MatterMar 23, 20079 citations

Topological degeneracy in the RVB phase of the Quantum Dimer Model on the triangular lattice

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