SOLUTIONS FOR THE T=0 QUANTUM SPIN-GLASS TRANSITION IN A METALLIC MODEL WITH SPIN-CHARGE COUPLING

We solve several low temperature problems of an infinite range metalli c spin glass model. A compensation problem of T-->0 divergencies is so lved for the free energy which helped to extract the quantum critical behaviour of the spin glass order parameters as a function of delta J equivalent to J-J(c)(T=0), The critical value J(c)(T=0)=3/16 rho(F)(-1 ) of the frustrated spin coupling J, which separates spin glass from n onmagnetic (spin liquid) phase, is determined exactly in the static sa ddle point solution for a semielliptic metallic band model in terms of the density of states at the Fermi level. In addition to the replica- overlap order parameter [Q(ab)], a not equal b, the diagonal [Q(aa)] i s confirmed as order parameter by the result [Q(aa)](sp) similar to(de lta J)(beta), beta=1, and its susceptibility chi(aaaa) similar to(-del ta J)(-gamma) with gamma=1/2 at T=0. The value for gamma agrees with t he one for the transverse field Ising spin glass. The low T decay of [ Q(aa)](sp)similar to T is obtained exactly in the whole quantum disord ered phase including the critical value.