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After reviewing the concept of vison excitations in Z_2 dimer liquids, westudy the liquid-crystal transition of the Quantum Dimer Model on thetriangular lattice by means of a semiclassical spin-wave approximation to thedispersion 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 presenta variational calculation of the vison dispersion relation at the RK pointwhich reproduces the qualitative shape of the dispersion relation and the orderof magnitude of the gap. This approach provides a simple but reliableapproximation of the vison wave functions at the RK point.

Quantum Dimer Model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation