Low energy excitations of the kagome antiferromagnet and the spin gap issue

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  • 23 July 2009
Abstract
We report the latest results of exact diagonalizations of SU(2) invariant models on various lattices (square, triangular, hexagonal, checkerboard and kagome lattices). We focus on the low lying levels in each S sector. The differences in behavior between gapless systems and gapped ones are exhibited. The plausibility of a gapless spin liquid in the Heisenberg model on the \kag lattice is discussed. A rough estimate of the spin susceptibility in such an hypothesis is given. We emphasize that the very small intra-S channel energy scale observed in exact spectra is a very interesting information to understand the low T dynamics of this model.

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