We present a theoretical study of the electronic states in T-, L-, and
V-shaped realistic quantum wires taking into account Gamma-X mixing i
n the conduction band. Calculations are based on two different approac
hes, namely, a tight-binding and a multivalley envelope function (MVEF
) technique. A strong reduction of the electron energy due to the off-
resonant Gamma-X mixing has been found in all types of quantum wires.
This effect appears to be enhanced by a strong localization of the ele
ctron wave function and by a strong overlap with atomic layers next to
heterointerfaces. The remarkable agreement between the results obtain
ed within the two approaches proves the validity of MVEF methods over
a wide range of one-dimensional heterosystems. [S0163-1829(98)05416-2]
.