V. Kubrak et P. Kleinert, MICROSCOPIC BALANCE-EQUATIONS FOR THE REAL-SPACE TRANSFER IN MULTIPLE-QUANTUM WELLS, Journal of physics. Condensed matter, 10(33), 1998, pp. 7391-7406
The parallel electronic transport in semiconductor multiple quantum we
lls and the associated real-space transfer of electrons from high-mobi
lity quantum wells into low-mobility barriers is treated on the basis
of the microscopic Lei-Ting balance-equation theory. Our model system
consists of a quasi-two-dimensional subband that is bound to the wells
and a quasi-three-dimensional band for the extended states above the
barriers. The real-space transfer between the two subbands is microsco
pically described as intersubband scattering by phonons. In order to c
apture the appropriate selection rules for these transitions, it is ne
cessary to choose a set of orthogonal subband wavefunctions. A solutio
n of the balance equations is presented for a GaAs-AlxGa1-xAs system i
n which the real-space transfer causes negative differential resistanc
e. Our approach shows how the transport properties of the system are i
nterrelated with the different transfer scattering processes, and how
system parameters influence the real-space transfer. Furthermore, it i
s shown that the incorporation of screening requires a careful selecti
on of the screening model, as both intersubband contributions and dyna
mical effects are found to modify the results in the random-phase appr
oximation.