C. Amman et al., ELECTRON RELAXATION BY LO PHONONS IN QUANTUM WIRES - AN ADIABATIC APPROACH, Physical review. B, Condensed matter, 55(4), 1997, pp. 2420-2428
The electron states of weakly-one-dimensional quantum wires are comput
ed using the adiabatic approximation in the framework of the k . p the
ory and the envelope-function approximation. The computed transition r
ates of electrons from one confined state to any other, mediated by th
e longitudinal optical (LO) phonons, are clearly ordered with respect
to the quantum numbers of the states provided by the adiabatic approxi
mation. The average single electron relaxation time from an excited le
vel is shown to either increase or surprisingly decrease as a function
of initial energy. Finally, the relaxation dynamics of an excited pop
ulation of electrons is analyzed. We show that a fast phenomenological
intrasubband thermalization, simultaneous to the LO phonon-mediated r
elaxation, lowers the final average energy and may in some cases signi
ficantly speed up the whole relaxation.