cea-02014494
https://cea.hal.science/cea-02014494
https://cea.hal.science/cea-02014494/document
https://cea.hal.science/cea-02014494/file/Misg.pdf
doi:10.1103/physrevb.77.134421
[CEA] CEA - Commissariat à l'énergie atomique
[CNRS] CNRS - Centre national de la recherche scientifique
[DSM-IPHT] IPHT
[CEA-DRF] Direction de Recherche Fondamentale
[GS-MATHEMATIQUES] Graduate School Mathématiques
[GS-PHYSIQUE] Graduate School Physique
Quantum dimer model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
Misguich, Grégoire
Mila, Frédéric
[PHYS] Physics [physics]
ART
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.
2008-04
2019-02-11
en
Physical Review B: Condensed Matter and Materials Physics (1998-2015)
American Physical Society