Critical Dynamics of a Heisenberg Spin-Glass

Abstract

The spin-glass transition of a magnetic material with quenched impurities is studied with use of perturbative mode-mode coupling theory, without the use of the replica method. In mean-field theory we find that the transport coefficient $\tilde{\Gamma }$ diverges just above the spin-glass freezing temperature $T_f$ like ${(T-T_f)}^{-\frac{1}{2}}$ for $d>\mathrm{}4\mathrm{}$ and ${(T-T_f)}^{\frac{2}{d-1\mathrm{}}}$ for $2<d<\mathrm{}4\mathrm{}$.