Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice

Details Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice

2005-02-11

arxiv.org/abs/cond-mat/0502294v1

Phys. Rev. B 71, 224109 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 16 figures

Scientific paper

10.1103/PhysRevB.71.224109

Using exact diagonalizations and Green's function Monte Carlo simulations, we have studied the zero-temperature properties of the quantum dimer model on the triangular lattice on clusters with up to 588 sites. A detailed comparison of the properties in different topological sectors as a function of the cluster size and for different cluster shapes has allowed us to identify different phases, to show explicitly the presence of topological degeneracy in a phase close to the Rokhsar-Kivelson point, and to understand finite-size effects inside this phase. The nature of the various phases has been further investigated by calculating dimer-dimer correlation functions. The present results confirm and complement the phase diagram proposed by Moessner and Sondhi on the basis of finite-temperature simulations [Phys. Rev. Lett. {\bf 86}, 1881 (2001)].

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