In the present thesis we implement a simple numerical method to solve a onedimensional time-independent Schrödinger equation in any arbitrary periodic potential. We apply this method to study the energy band structure, the Bloch wavefunctions and the 1D-density of states of a simple 1D-superlattice model. The results obtained for this model exhibit nontrivial features of real hetero-crystalline superlattices. Several of these features can be understood in terms of a one-band effective mass model which is one of the simplest electronic-structure approaches for superlattices. This approach is then applied to obtain the energies of the conduction electrons in a model for a perfect GaAs/Ga0. 8Al0. 2As superlattice and its 3D-density of states.
1 Jan 2012
Dipartimento di Fisica, Università degli Studi di Milano