Competing Valence Bond Crystals in the Kagome Quantum Dimer Model

Details Competing Valence Bond Crystals in the Kagome Quantum Dimer Model Competing Valence Bond Crystals in the Kagome Quantum Dimer Model

2011-09-26

arxiv.org/abs/1109.5616v2

Phys. Rev. B 84, 214401 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 5 figures, 4 tables; Figure 2 and Table II updated

Scientific paper

10.1103/PhysRevB.84.214401

The singlet dynamics which plays a major role in the physics of the spin-1/2 Quantum Heisenberg Antiferromagnet (QHAF) on the Kagome lattice can be approximately described by projecting onto the nearest-neighbor valence bond (NNVB) singlet subspace. We re-visit here the effective Quantum Dimer Model which originates from the latter NNVB-projected Heisenberg model via a non-perturbative Rokhsar-Kivelson-like scheme. By using Lanczos exact diagonalisation on a 108-site cluster supplemented by a careful symmetry analysis, it is shown that a previously-found 36-site Valence Bond Crystal (VBC) in fact competes with a new type of 12-site "{\it resonating-columnar}" VBC. The exceptionally large degeneracy of the GS multiplets (144 on our 108-site cluster) might reflect the proximity of the Z_2 dimer liquid. Interestingly, these two VBC "emerge" in {\it different topological sectors}. Implications for the interpretation of numerical results on the QHAF are outlined.

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