Pa. Bobbert et al., EXCHANGE-CORRELATION ENERGY OF A HOLE GAS INCLUDING VALENCE-BAND COUPLING, Physical review. B, Condensed matter, 56(7), 1997, pp. 3664-3671
We have calculated an accurate exchange-correlation energy of a hole g
as, including the complexities related to the valence band coupling as
occurring in semiconductors like GaAs, but excluding the band warping
. A parametrization for the dependence on the density and the ratio be
tween light-and heavy-hole masses is given. We apply our results to a
hole gas in an AlxGa1-xAs/GaAs/AlxGa1-xAs quantum well and calculate t
he two-dimensional band structure and the band-gap renormalization. Th
e inclusion of the valence band coupling in the calculation of the exc
hange-correlation potentials for holes and electrons leads to a much b
etter agreement between theoretical and experimental data than when it
is omitted.