Frustrated magnetism and resonating valence bond physics in 2D kagome-like
magnets with inequivalent loops
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Using a combination of exact diagonalization, analytical strong-coupling
theories and resonating valence bond
approaches we determine the phase diagram and the low-energy physics of three
kagome-like Heisenberg
antiferromagnets with inequivalent resonance loops. At weak coupling the
lattices become effectively bipartite,
while at strong coupling heavily frustrated nets emerge. Competing tunneling
amplitudes result in the intermediate
coupling regime in short-ranged spin correlations, the presence of a manyfold of
low-lying singlets and the stabilization
of valence bond crystal and spin-nematic phases.