%0 Journal Article
%T Quantum dimer model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
%+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT)
%+ Ecole Polytechnique Fédérale de Lausanne (EPFL)
%A Misguich, Grégoire
%A Mila, Frédéric
%< avec comité de lecture
%@ 1098-0121
%J Physical Review B: Condensed Matter and Materials Physics (1998-2015)
%I American Physical Society
%V 77
%P 134421
%8 2008-04
%D 2008
%R 10.1103/physrevb.77.134421
%Z PACS numbers: 05.50.q, 71.10.w, 75.10.Jm
%Z Physics [physics]Journal articles
%X After reviewing the concept of vison excitations in $\mathbb{Z}_2$ dimer liquids, we study the liquid-crystal transition of the quantum dimer model on the triangular lattice by means of a semiclassical spin-wave approximation to the dispersion of visons in the context of a "soft-dimer" version of the model. This approach captures some important qualitative features of the transition: continuous nature of the transition, linear dispersion at the critical point, and $\sqrt{12}$X $\sqrt{12}$ symmetry-breaking pattern. In a second part, we present a variational calculation of the vison dispersion relation at the Rokhsar-Kivelson RK point, which reproduces the qualitative shape of the dispersion relation and the order of magnitude of the gap. This approach provides a simple but reliable approximation of the vison wave functions at the RK point.
%G English
%2 https://cea.hal.science/cea-02014494/document
%2 https://cea.hal.science/cea-02014494/file/Misg.pdf
%L cea-02014494
%U https://cea.hal.science/cea-02014494
%~ CEA
%~ CNRS
%~ DSM-IPHT
%~ CEA-DRF
%~ GS-MATHEMATIQUES
%~ GS-PHYSIQUE