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We study ferrimagnetism in the ground state of the antiferromagneticHeisenberg model on the spatially anisotropic kagome lattice, in whichferrimagnetism of the conventional Lieb-Mattis type appears in the region ofweak frustration whereas the ground state is nonmagnetic in the isotropic case.Numerical diagonalizations of small finite-size clusters are carried out toexamine the spontaneous magnetization. We find that the spontaneousmagnetization changes continuously in the intermediate region betweenconventional ferrimagnetism and the nonmagnetic phase. Local magnetization ofthe intermediate state shows strong dependence on the site position, whichsuggests non-Lieb-Mattis ferrimagnetism.

Collapse of Ferrimagnetism in Two-Dimensional Heisenberg Antiferromagnet due to Frustration