Y. Fu et al., VALLEY MIXING IN GAAS ALAS MULTILAYER STRUCTURES IN THE EFFECTIVE-MASS METHOD/, Physical review. B, Condensed matter, 47(20), 1993, pp. 13498-13507
We introduce a set of boundary conditions for electron envelope functi
ons at GaAs/AlAs heterointerfaces so as to take into account GAMMA-X(z
) and X(x)-X(y) valley mixings in the effective-mass method. The propo
sed conditions enable one to obtain the dependence of the mixing effec
t upon the parity of monolayer numbers in AlAs and GaAs layers, in agr
eement with the empirical model calculations. The tunneling probabilit
y across a two-interfarce structure GaAs(AlAs)MGaAs(001) is calculated
as a function of the GAMMA-electron energy. The electron transfer is
shown to depend essentially on the parity of M. An analytical solution
is obtained for the dispersion of mixed X(xy) minibands. Direct optic
al transitions are allowed between these minibands in the in-plane lig
ht polarization. The corresponding far-infrared absorption coefficient
is calculated and estimated.