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We study the ground-state phase diagram of the Ashkin-Teller random quantumspin chain by means of a generalization of the strong-disorder renormalizationgroup. In addition to the conventional paramagnetic and ferromagnetic (Baxter)phases, we find a partially ordered phase characterized by strong randomnessand infinite coupling between the colors. This unusual phase acts, at the sametime, as a Griffiths phase for two distinct quantum phase transitions both ofwhich are of infinite-randomness type. We also investigate the quantummulti-critical point that separates the two-phase and three-phase regions; andwe discuss generalizations of our results to higher dimensions and othersystems.

Strong-randomness infinite-coupling phase in a random quantum spin chain