Abstract

The magnetization process of spin chains with randomness is discussed. We emphasize a close analogy between these systems and disordered particle systems and pay particular attention to the (in)stability of spin-gapped phases against several types of randomness. Generically, spin-gap states (plateaus) and Bose-glass-like localized states compete and stable plateaus are possible only for special magnetizations determined by spin S and the period of a pure system. When no external field is applied, the random-singlet state or the Griffith's phase is possible.

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