Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
Abstract
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)].
Cite
@article{arxiv.cond-mat/0502294,
title = {Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice},
author = {Arnaud Ralko and Michel Ferrero and Federico Becca and Dmitri Ivanov and Frederic Mila},
journal= {arXiv preprint arXiv:cond-mat/0502294},
year = {2009}
}
Comments
10 pages, 16 figures