  A nematic phase, previously seen in the d=3 classical Heisenberg spin-glass
system, occurs in the n-component cubic-spin spin-glass system, between the
low-temperature spin-glass phase and the high temperature disordered phase, for
number of components n >= 3, in spatial dimension d=3, thus constituting a
liquid-crystal phase in a dirty (quenched-disordered) magnet. This result is
obtained from renormalization-group calculations that are exact on the
hierarchical lattice and, equivalently, approximate on the cubic spatial
lattice. The nematic phase completely intervenes between the spin-glass phase
and the disordered phase. The Lyapunov exponents of the spin-glass chaos are
calculated from n=1 up to n=12 and show odd-even oscillations with respect to
n.
