A self-consistent calculation of the energy levels of n-doped quantum wells (MQW) is reported. The eigenstates of the system are calculated from a four-band k.p Hamiltonian. The Hartree and exchange–correlation components of the Coulomb interaction are included self-consistently. The Hartree component is included by solving the Poisson equation; the exchange–correlation interaction is incorporated within the density–functional scheme. Also included are the vertex and depolarization effects which modify the intersubband transition energies. All of these many-body corrections are shown to strongly influence the ground to excited state transition within the conduction band. Further, it is revealed that contrary to previous claims, the many-body effects in these structures are insensitive to temperature. Consequently, such effects cannot account for the observed blue shift of the principal infrared peak as a function of decreasing temperature.
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B. Jogai (1991) studied this question.