Abstract
We examine a periodic mixed spin chain with spin magnitudes 1 2 and 1 which are arrayed as 1 2 – 1 2 -1–1. The three independent parameters are ratios of the four exchange couplings. We determine phase boundaries in the parameter space by using the gapless condition which was previously derived by mapping a general inhomogeneous spin chain to the nonlinear σ model. We find two gapless boundaries separating three disordered phases. The features of the phases are explained in terms of singlet clusters.
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