“…However, typical prefactors for the Orbach process range from 10 −6 to 10 −11 s [6,8,14,32,38], which are orders of magnitude smaller than the τ 0 estimated for Ho. Additionally, STM experiments show that the excited states lie at least 15 meV above the ground state doublet [24,27], which is not compatible with the barrier derived from the fit. In fact, even qualitatively, the suppression of spin reversal at high fields is neither compatible with a conventional Orbach mechanism, which predicts an increase of the relaxation rate due to the Zeeman shift of the levels defining the activation barrier, nor with a Raman process activated by delocalized substrate phonons, whose relaxation rate also increases with increasing Zeeman splitting of the lowest doublet [30].…”