Many-body and strain effects on the ground-state energy for a quasi-two-dimensional quantum wells with strain

We discuss the many-body and the strain effects on the ground-state energy of semiconductor quantum wells with strain, considering the complexities related to the valence-band mixing for the hole. The exchange interaction and the screening of the Coulomb correlation depending on the strain and the sheet density are evaluated within the random-phase approximation. Such evaluation takes into account a 4 x 4 Luttinger-Kohn Hamiltonian, which leads to obtaining the valence band structure. The dependence of the ground-state energy on the strain and the sheet density are shown to become important as the dynamic correction of the Coulomb correlation is included.