Interacting Classical Dimers on the Square Lattice

Fabien Alet, Jesper Lykke Jacobsen, Grégoire Misguich, Vincent Pasquier, Frédéric Mila, and Matthias Troyer
Phys. Rev. Lett. 94, 235702 – Published 15 June 2005

Abstract

We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. 61, 2376 (1988)]. By means of Monte Carlo and transfer matrix calculations, we show that this system undergoes a Kosterlitz-Thouless transition separating a low temperature ordered phase where dimers are aligned in columns from a high temperature critical phase with continuously varying exponents. This is understood by constructing the corresponding Coulomb gas, whose coupling constant is computed numerically. We also discuss doped models and implications on the finite-temperature phase diagram of quantum dimer models.

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  • Received 19 January 2005

DOI:https://doi.org/10.1103/PhysRevLett.94.235702

©2005 American Physical Society

Authors & Affiliations

Fabien Alet1, Jesper Lykke Jacobsen1,2, Grégoire Misguich1, Vincent Pasquier1, Frédéric Mila3, and Matthias Troyer4

  • 1Service de Physique Théorique (URA 2306 of CNRS), CEA Saclay, 91191 Gif sur Yvette, France
  • 2LPTMS, Université Paris-Sud, Bâtiment 100, 91405 Orsay, France
  • 3Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
  • 4Theoretische Physik, ETH Zürich, CH-8093 Zürich, Switzerland

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Issue

Vol. 94, Iss. 23 — 17 June 2005

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