Collinear Néel-type ordering in partially frustrated lattices

Details Collinear Néel-type ordering in partially frustrated lattices Collinear Néel-type ordering in partially frustrated lattices

1998-08-20

arxiv.org/abs/cond-mat/9808222v1

Physics

Condensed Matter

Strongly Correlated Electrons

Four pages, LaTeX, Four postscripts figures, Phys. Rev. B58, 73 (1998)

Scientific paper

10.1103/PhysRevB.58.73

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 $\alpha$ ($\alpha \leq 1$) whereas all other bonds have exchange interaction strength unity. We show that for $\alpha$ less than a critical value $\alpha_{c}$, 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.

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