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(si)T=0, while the correlation overlap (sisj)T(sis j)T calculated to first loop order (and, for technical reasons, for dimensions d>8 only) is found to decay exponentially, with a characteristic length approximately (T-T')-1.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)