Crystallization of the resonating valence bond liquid as vortex condensation

Details Crystallization of the resonating valence bond liquid as vortex condensation Crystallization of the resonating valence bond liquid as vortex condensation

2007-07-13

arxiv.org/abs/0707.1986v1

Phys. Rev. B 76, 140404(R) (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.76.140404

We show that the liquid-to-crystal quantum phase transition in the Rokhsar--Kivelson dimer model on the two-dimensional triangular lattice occurs as a condensation of vortex-like excitations called ``visons''. This conclusion is drawn from the numerical studies of the vison spectrum in the liquid phase by using the Green's function Monte Carlo method. We find that visons remain the lowest excitation throughout the liquid phase and that their gap decreases continuously to zero at the phase transition. The nature of the crystal phase and the second order of the phase transition are in agreement with the earlier prediction of Moessner and Sondhi [Phys. Rev. B 63, 224401 (2001)].

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