  The chiral spin-glass Potts system with q=3 states is studied in d=2 and 3
spatial dimensions by renormalization-group theory and the global phase
diagrams are calculated in temperature, chirality concentration p, and
chirality-breaking concentration c, with determination of phase chaos and
phase-boundary chaos. In d=3, the system has ferromagnetic, left-chiral,
right-chiral, chiral spin-glass, and disordered phases. The phase boundaries to
the ferromagnetic, left- and right-chiral phases show, differently, an unusual,
fibrous patchwork (microreentrances) of all four (ferromagnetic, left-chiral,
right-chiral, chiral spin-glass) ordered ordered phases, especially in the
multicritical region. The chaotic behavior of the interactions, under scale
change, are determined in the chiral spin-glass phase and on the boundary
between the chiral spin-glass and disordered phases, showing Lyapunov exponents
in magnitudes reversed from the usual ferromagnetic-antiferromagnetic
spin-glass systems. At low temperatures, the boundaries of the left- and
right-chiral phases become thresholded in p and c. In the d=2, the chiral
spin-glass system does not have a spin-glass phase, consistently with the
lower-critical dimension of ferromagnetic-antiferromagnetic spin glasses. The
left- and right-chirally ordered phases show reentrance in chirality
concentration p.
