The effects of the carrier interaction and electric fields on subband   structures of selectively--doped semiconductor quantum wells
  We investigate the ground--state electronic properties of the symmetrically-- doped semiconductor quantum well in the presence of a homogeneous electric field. In this paper we examined the effect of the electric field and carrier interaction on the subband structure as a function of the field strength and carrier concentration. The many--body effects are evaluated using a local density functional exchange--correlation potential. We find that the electron subband energy is reduced as the magnitude of the electric field is increased, but it is increased as the surface carrier density is increased. However, the separation of the electron subband energies is reduced for the increase in both the electric field and surface carrier density. On the other hand, the energy separation of the hole subbands is increased as the carrier density and field strength are increased. Effect of the exchange--correlation potential on the subband structure is found negligibly small in this calculation. The subband energies are reduced slightly, increasing their separations little in the presence of the local exchange--correlation potential. 
Sung--Kyun Park and Kyung--Soo Yi