Zero-temperature properties of the quantum dimer model on the triangular lattice

Arnaud Ralko, Michel Ferrero, Federico Becca, Dmitri Ivanov, and Frédéric Mila
Phys. Rev. B 71, 224109 – Published 23 June 2005

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. 86, 1881 (2001)].

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  • Received 11 February 2005

DOI:https://doi.org/10.1103/PhysRevB.71.224109

©2005 American Physical Society

Authors & Affiliations

Arnaud Ralko1, Michel Ferrero2, Federico Becca2, Dmitri Ivanov1, and Frédéric Mila1

  • 1Institut de Théorie des Phénomènes Physiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
  • 2INFM-Democritos, National Simulation Centre and International School for Advanced Studies (SISSA), Via Beirut 2-4, I-34014 Trieste, Italy

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Issue

Vol. 71, Iss. 22 — 1 June 2005

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