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We study a frustrated mixed spin chain with side chains, where the spinspecies and the exchange interactions are spatially varied. A nonlinear sigmamodel method is formulated for this model, and a phase diagram with twodisordered spin-gap phases is obtained for typical cases. Among them we examinethe case with a main chain consisting of an alternating array of spin-1 andspin-1/2 sites and side chains each of a single spin-1/2 site in great detail.Based on numerical, perturbational, and variational approaches, we propose asinglet cluster solid picture for each phase, where the ground state isexpressed as a tensor product of local singlet states.

Disordered ground states in a quantum frustrated spin chain with side chains