As the front-layer density in a bilayer electron or hole system is dep
leted by the application of a biased front gate, the density in the ba
ck layer increases due to the exchange term in the energy. For the sam
ple parameters we studied, a self-consistent calculation using the loc
al-density approximation predicts a discontinuous charge transfer that
is not observed experimentally. We discuss possible origins of this d
iscrepancy.