Nonradiative Transition During Lattice Relaxation in Localized Electron-Phonon System

Abstract

It was about 25 years ago that a theory for the multi-phonon nonradiative transition(MNT) in a localized electron-phonon system was derived by KUBO and TOYOZAWA(KT)[1], and it has been widely used to explain various multi-phonon nonradiative processes in crystals and molecules ever since. This theory, however, should be understood to give a static transition rate, because it is derived under the hypothesis that the phonon system at the initial state of the transition is in a thermal equilibrium. Although many theoretical studies subsequent to KT have so far been worked out for the MNT problem, they are also mainly concerned with the static MNT.