  We report progress in understanding the fermionic Ising spin glass with
arbitrary filling. A crossover from a magnetically disordered single band phase
via two intermediate bands just below the freezing temperature to a 3-band
structure at still lower temperatures - beyond an almost random field
instability - is shown to emerge in the magnetic phase. An attempt is made to
explain the exact solution in terms of a quantum Parisi phase. A central
nonmagnetic band is found and seen to become sharply separated at T=0 by gaps
from upper and lower magnetic bands. The gap sizes tend towards zero as the
number of replica symmetry breaking steps increases towards infinity. In an
extended model, the competition between local pairing superconductivity and
spin glass order is discussed.
