Dynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations

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dc.creatorRalko, Arnaud
dc.creatorFerrero, Michel
dc.creatorBecca, Federico
dc.creatorIvanov, Dmitri
dc.creatorMila, Frederic
dc.date2006-07-24
dc.date.accessioned2026-07-07T07:16:08Z
dc.date.available2026-07-07T07:16:08Z
dc.descriptionWe report on an exhaustive investigation of the dynamical dimer-dimer correlations in imaginary time for the quantum dimer model on the triangular lattice using the Green's function Monte Carlo method. We show in particular that soft modes develop upon reducing the dimer-dimer repulsion, indicating the presence of a second-order phase transition into an ordered phase with broken translational symmetry. We further investigate the nature of this ordered phase, for which a 12-site unit cell has been previously proposed, with the surprising result that significant Bragg peaks are only present at two of the three high-symmetry points consistent with this unit cell. We attribute the absence of a detectable peak to its small magnitude due to the nearly uniform internal structure of the 12-site crystal cell.
dc.description6 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0607610
dc.identifierhttp://arxiv.org/abs/cond-mat/0607610
dc.identifierPhys. Rev. B 74, 134301 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.134301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113479
dc.subjectStrongly Correlated Electrons
dc.titleDynamics of the quantum dimer model on the triangular lattice: Soft modes and local resonating valence-bond correlations
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