Diamagnetic susceptibility of a hydrogenic donor in low lying excited states in a Quantum Well

We present the χdia of a hydrogenic donor in low lying excited states like 2s, 2p± and 2p0 in a GaAs/ AlxGa1−xAs Quantum Well for various Al compositions x both in the parabolic and non-parabolic conduction band model using the variational method. To our knowledge there has been no such reports both theoretically and experimentally in the literature. It was observed that χdia increases with increase of x for both the parabolic and non-parabolic cases. The effect of non-parabolicity on χdia is larger for the lower well width region for 2s and 2p± states. Interestingly, we observe a “turn over” in the variation of χdia against well widths in the lower well width region, a trend which is similar to the one observed in the variation of binding energy of donors in low lying excited states.