  In disordered spin systems with antiferromagnetic Heisenberg exchange,
transitions into and out of a magnetic-field-induced ordered phase pass through
a unique regime. Using quantum Monte Carlo simulations to study the
zero-temperature behavior, these intermediate regions are determined to be a
Bose-Glass phase. The localization of field-induced triplons causes a finite
compressibility and hence glassiness in the disordered phase.
