A new connection rule of wave functions at a heterointerface and band discontinuity between GaAs and AlGaAs

Abstract
A new connection rule of wave functions at a heterointerface was developed. This connection rule satisfies the conservation of probability current and contains a nonparabolic effective mass of carriers as a natural consequence of the theory. The subband energies in a GaAs/AlGaAs quantum well calculated using our new connection rule are in excellent conformity with a wide range of experimental results with band discontinuity of 85% and an effective mass for hole of 0.34m0.