Spin-Gap States of a Periodic Mixed Spin Chain

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages (5 figures included) Submitted to Journal of Physics and Chemistry of Solids (Proceedings of CREST International Works

Scientific paper

10.1016/S0022-3697(00)00169-4

We examine a chain of periodic arrays of 4 quantum spins with magnitudes of 1/2, 1, 3/2 and 1. There are four kinds of nearest-neighbour exchange parameters among them. We choose two independent parameters for concreteness: one represents the ratio of typical exchange parameters, and the other represents a distortion. We determine the phase diagram of the ground state in the parameter space. The phase boundaries appear as gapless lines which separate gapful disordered phases. They are determined by the gapless equation which was previously derived by mapping a general periodic spin chain to the nonlinear $\sigma$ model.

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