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The chiral clock spin-glass model with q=5 states, with both competingferromagnetic-antiferromagnetic and left-right chiral frustrations, is studiedin d=3 spatial dimensions by renormalization-group theory. The global phasediagram is calculated in temperature, antiferromagnetic bond concentration p,random chirality strength, and right-chirality concentration c. The system hasa ferromagnetic phase, a multitude of different chiral phases, a chiralspin-glass phase, and a critical (algebraically) ordered phase. Theferromagnetic and chiral phases accumulate at the disordered phase boundary andform a spectrum of devil's staircases, where different ordered phasescharacteristically intercede at all scales of phase-diagram space. Shallow anddeep reentrances of the disordered phase, bordered by fragments of regular andtemperature-inverted devil's staircases, are seen. The extremely rich phasediagrams are presented as continuously and qualitatively changing videos.

Devil's Staircase Continuum in the Chiral Clock Spin Glass with Competing Ferromagnetic-Antiferromagnetic and Left-Right Chiral Interactions