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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2006

Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms

Résumé

Starting from the mean-field solution of a spin-orbital model of LiNiO 2 , we derive an effective quantum dimer model ͑QDM͒ that lives on the triangular lattice and contains kinetic terms acting on four-site plaquettes and six-site loops. Using exact diagonalizations and Green's function Monte Carlo simulations, we show that the competition between these kinetic terms leads to a resonating valence bond ͑RVB͒ state for a finite range of parameters. We also show that this RVB phase is connected to the RVB phase identified in the Rokhsar-Kivelson model on the same lattice in the context of a generalized model that contains both the six-site loops and a nearest-neighbor dimer repulsion. These results suggest that the occurrence of an RVB phase is a generic feature of QDM with competing interactions.
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Dates et versions

hal-02145552 , version 1 (03-06-2019)

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François Vernay, Arnaud Ralko, Federico Becca, Frédéric Mila. Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2006, 74 (5), ⟨10.1103/PhysRevB.74.054402⟩. ⟨hal-02145552⟩
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