I. Rousochatzakis, R. Moessner, J. van den Brink
We determine the phase diagram and the low-energy physics of three Heisenberg antiferromagnets which, like the kagome lattice, are networks of corner-sharing triangles but which contain more short inequivalent resonance loops. We use a combination of exact diagonalization, analytical strong-coupling theories and resonating valence bond approaches. In one limit, the lattices effectively become bipartite, while at the opposite limit heavily frustrated nets emerge. In between, competing tunneling processes result in short-ranged spin correlations, the presence of a manifold of low-lying singlets and the stabilization of valence bond crystal and spin-nematic phases.
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http://arxiv.org/abs/1305.6488
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