Internal Field Distribution in Spin-Glasses

Abstract

It is shown that the probability for the magnitude of the internal field $|\stackrel{\ensuremath{\rightarrow}}{\mathrm{H}}|$ of a spin-glass is proportional to ${H}^{2}d|\stackrel{\ensuremath{\rightarrow}}{\mathrm{H}}|$ for very small internal fields. If one assumes that the spins are quantized in the magnitude of the field the low-temperature specific heat is proportional to ${T}^{3}$ in disagreement with the experimentally measured linear dependence.