Stochastic theory of the second order optical response is presented for a system of exciton-phonon complex. The emission spectrum due to the exciton is expressed with the tetradic propagators of the exciton-relevant mode system which dissipates energy into the reservoir of the remaining phonons. In this paper the multiple-scattering theory of the dynamical coherent potential approximation is developed for the tetradic propagators of the present non-Hamiltonian system. It is shown that the vertex correction associated with the tetradic propagator of the intermediate state in the second order optical process yields finite contribution to the luminescence component in the emission spectrum. The equations are obtained for the scattering t-matrices and the vertex corrections interms of which the emission spectrum due to the exciton is evaluated.
ASJC Scopus subject areas
- Physics and Astronomy(all)