Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-05-29
J. Phys. Soc. Jpn. 69 (2000) 4003
Physics
Condensed Matter
Statistical Mechanics
5 pages, 7 eps figures, 2 tables, Fig. 4 corrected
Scientific paper
10.1143/JPSJ.69.4003
Low energy spectrum of the S=1 kagom\'e Heisenberg antiferromagnet (KHAF) is studied by means of exact diagonalization and the cluster expansion. The magnitude of the energy gap of the magnetic excitation is consistent with the recent experimental observation for \mpynn. In contrast to the $S=1/2$ KHAF, the non-magnetic excitations have finite energy gap comparable to the magnetic excitation. As a physical picture of the ground state, the hexagon singlet solid state is proposed and verified by variational analysis.
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