Analysis of the influence of external magnetic field on transition matrix elements in quantum well and quantum cascade laser structures

• Nonparabolicity effects modelled with 4th order Schrodinger equation derived from 14 bands kp method.
• Effects of external magnetic field modelled through second order perturbation theory.
• First order corrections for the wavefunction included, which allows dependence of dipole matrix element on magnetic field.
• Application of the model on experimentally achieved QCLs and generalization of existing models.

We present a method for modeling nonparabolicity effects (NPE) in quantum nanostructures in presence of external electric and magnetic field by using second order perturbation theory. The method is applied to analysis of quantum well structure and active region of a quantum cascade laser (QCL). This model will allow us to examine the influence of magnetic field on dipole matrix element in QCL structures, which will provide a better insight to how NPE can affect the gain of QCL structures.