Crystallization of the resonating valence bond liquid as vortex condensation - Archive ouverte HAL
Article Dans Une Revue Physical Review B Année : 2007

Crystallization of the resonating valence bond liquid as vortex condensation

Résumé

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)].

Dates et versions

hal-00165804 , version 1 (27-07-2007)

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Citer

Arnaud Ralko, Michel Ferrero, Federico Becca, Dmitri Ivanov, Frédéric Mila. Crystallization of the resonating valence bond liquid as vortex condensation. Physical Review B, 2007, 76 (14), pp.140404. ⟨10.1103/PhysRevB.76.140404⟩. ⟨hal-00165804⟩
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