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

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

2006-03-23

arxiv.org/abs/cond-mat/0603633v2

Phys. Rev. B 74, 054402 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 12 figures

Scientific paper

10.1103/PhysRevB.74.054402

Starting from the mean-field solution of a spin-orbital model of LiNiO$_2$, we derive an effective quantum dimer model (QDM) that lives on the triangular lattice and contains kinetic terms acting on 4-site plaquettes and 6-site loops. Using numerical exact diagonalizations and Green's function Monte Carlo simulations, we show that the competition between these kinetic terms leads to a resonating valence bond (RVB) 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 6--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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