Spin-glasses with uniaxial anisotropy

We study a long-range quantum spin-glass model with uniaxial anisotropy. A calculation of the phase diagram as well as the susceptibilities above the freezing temperature is presented. For easy-axis systems Ising-like behavior is found, while for easy-plane systems with increasing anisotropy a change from $\mathrm{XY}$ behavior to a condensation in a nonmagnetic singlet ground state takes place for $S=1\mathrm{}$.