Extended Quantum Dimer Model and novel valence-bond phases

Details Extended Quantum Dimer Model and novel valence-bond phases Extended Quantum Dimer Model and novel valence-bond phases

2011-01-11

arxiv.org/abs/1101.2111v1

J. Stat. Mech. (2011) P01033

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, 13 figures, accepted for publication in J. Stat. Mech

Scientific paper

10.1088/1742-5468/2011/01/P01033

We extend the quantum dimer model (QDM) introduced by Rokhsar and Kivelson so as to construct a concrete example of the model which exhibits the first-order phase transition between different valence-bond solids suggested recently by Batista and Trugman and look for the possibility of other exotic dimer states. We show that our model contains three exotic valence-bond phases (herringbone, checkerboard and dimer smectic) in the ground-state phase diagram and that it realizes the phase transition from the staggered valence-bond solid to the herringbone one. The checkerboard phase has four-fold rotational symmetry, while the dimer smectic, in the absence of quantum fluctuations, has massive degeneracy originating from partial ordering only in one of the two spatial directions. A resonance process involving three dimers resolves this massive degeneracy and dimer smectic gets ordered (order from disorder).

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