SENSITIVITY OF SPIN-GLASS ORDER TO TEMPERATURE-CHANGES

By a loop-expansion around Parisi's mean-field theory for an Ising spin-glass it is shown that the overlap of the magnetization patterns belonging to two different temperatures, T and T', vanishes to any order, [s(i)]T[s(i)]T'=0BAR, while the correlation overlap [s(i)s(j)]T[s(i)s(j)]T'BAR calculated to first loop order (and, for technical reasons, for dimensions d > 8 only) is found to decay exponentially, with a characteristic length is similar to ( T - T')-1.