We study the quantum dimer model on the triangular lattice, which is expected to describe the singlet dynamics of frustrated Heisenberg models in phases where valence bond configurations dominate their physics. We find, in contrast to the square lattice, that there is a truly short ranged resonating valence bond phase with no gapless excitations and with deconfined, gapped, spinons for a finite range of parameters. We also establish the presence of crystalline dimer phases.

arXiv:cond-mat/0007378Physical Review LettersFeb 26, 2001828 citations

A doped interacting quantum dimer model on the square lattice

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Bulletin of the American Physical Society

Dynamical correlations of the Quantum Dimer Model on the triangular lattice

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Published Mar 15, 2006• 0 citations

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0.1494\dots{},

only slightly below the nearest-neighbor value of

1/6.

We also consider the anisotropic triangular lattice model in which the square lattice is perturbed by diagonal bonds of one orientation and small fugacity. We show that the model becomes noncritical immediately and that this perturbation is equivalent to adding a mass term to each of two Majorana fermions that are present in the long wavelength limit of the square lattice problem.