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The ground-state properties of the S=1/2 frustrated Heisenberg spin chainwith interactions up to fourth nearest neighbors are investigated by theexact-diagonalization method and density matrix renormalization group method.Our numerical calculations clarify that the ferrimagnetic state is realized inthe ground state in spite of the fact that a multi-sublattice structure in theshape of the system is absent. We find that there are two types offerrimagnetic phases: one is the well-known ferrimagnetic phase of theLieb-Mattis type and the other is the nontrivial ferrimagnetic phase that isdifferent from that of the Lieb-Mattis type. Our results suggest that amulti-sublattice structure of the shape is not necessarily required for theoccurrence of ferrimagnetism.

Frustration-Induced Ferrimagnetism in S=1/2 Heisenberg Spin Chain