The binding energy of hydrogenic impurity in quantum well structures

Abstract

We have studied the anisotropic effects on the hydrogenic impurity states in a quantum well. The variation of the binding energy of the ground state as a function of the well thickness for quantum wells with isotropic or anisotropic effective masses are calculated. The dependence of the longitudinal and transverse effective radii on the well size and the mass ratio m t/ m l is also discussed. A simple approximation method proposed recently by Lee and Mei are also used to study the binding energy of the hydrogenic impurity in the finite quantum well.