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The ground state phase transition in the distorted S=1 kagom\'e Heisenbergantiferromagnet (KHAF) is studied by means of the perturbational calculationand numerical exact diagonalization method. For strong $\sqrt{3} \times\sqrt{3}$ lattice distortion, the hexgonal singlet solid (HSS) ground state ofthe uniform KHAF is destroyed and new singlet state, large HSS (LHSS) state,which is globally different from the HSS state is realized. The quantum phasetransition between these two singlet states is analogous to the Haldane-dimertransition in the S=1 antiferromagnetic Heisenberg chain. The presence of thistransition supports the validity of the HSS picture of the ground state of theuniform S=1 KHAF.Comment: 4 pages, 6 figure

Ground State Phase Transition in S=1 Distorted Kagomé Heisenberg Antiferromagnets