Continuous phase transition in a spin-glass model without time-reversal symmetry

We investigate the phase transition in a strongly disordered short-range th ree-spin interaction model characterized by the absence of time-reversal sy mmetry in the Hamiltonian. In the mean-held Limit the model is well describ ed by the Adam-Gibbs-DiMarzio scenario for the glass transition; however, i n the short-range case this picture turns out to be modified. The model pre sents a finite temperature continuous phase transition characterized by a d ivergent spin-glass susceptibility and a negative specific-heat exponent We expect the: nature of the transition in this three-spin model to be the sa me as the transition in the Edwards-Anderson model in a magnetic field, wit h the advantage that the strong crossover effects present in the latter cas e are absent. [S1063-651X(99)09806-2].