Abstract
We present a stable approximate solution for a quantum, short-range interacting, SO(3) Heisenberg disordered spin system on a square lattice, with a Gaussian distribution of couplings centered on an anti-ferromagnetic coupling J̄. The phase diagram T × J̄ contains a Néel (AF) phase at T = 0, J̄ > J̄0 and a spin-glass (SG) phase below a critical line, namely, T < Tc(J̄), J̄ < J̄0. The rest of the phase diagram is occupied by the paramagnetic (PM) phase.
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