GME and the Electron or Exciton Initial Condition Term Due to Lattice Relaxation Dimer

Abstract

AbstractInstantaneous creation of an electron or exciton in a dimer interacting with initially statistically independent unrelaxed lattice phonons leads to an initial condition term in the time‐convolution generalized master equations (GME) for the site occupation probabilities which may be undamped with increasing time till the coherence decay time provided the finite exciton‐lifetime effects are negligible. For the Peier form of the projector diagonalizing the full density matrix in the small polaron representation with the canonical form of the reference phonon density matrix and temperature equal to that of the initially unrelaxed equilibrium harmonic phonons, this term is calculated to the second order in the relevant hopping integral and its magnitude is estimated.