Acceptor and band states in quantum wells in multiband model

Abstract

We developed the framework for numerical calculation of the valence band dispersion in quantum well structures and the energy spectrum of the shallow acceptor in QWs. We used the finite-difference method to quantize the Luttinger-Kohn Hamiltonian and the decomposition of the impurity potential over the eigenstates of the Luttinger-Kohn Hamiltonian with the QW profile to obtain the acceptor states energies and wavefunction in -space. Developed approach allows one to calculate the energies of the acceptor states with spherical symmetry for an arbitrary QW potential profile with the coordinate-dependent material parameters.