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    Collinear N\'eel-type ordering in partially frustrated lattices

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    We consider two partially frustrated S = 1/2 antiferromagnetic spin systems on the triangular and pentagonal lattices. In an elementary plaquette of the two lattices, one bond has exchange interaction strength Ī±\alpha (Ī±ā‰¤1\alpha \leq 1) whereas all other bonds have exchange interaction strength unity. We show that for Ī±\alpha less than a critical value Ī±c\alpha_{c}, collinear N\'eel-type ordering is possible in the ground state. The ground state energy and the excitation spectrum have been determined using linear spin wave theory based on the Holstein-Primakoff transformation.Comment: Four pages, LaTeX, Four postscripts figures, Phys. Rev. B58, 73 (1998
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