Formula omitted]-type doping modulation of double GaAs/AlGaAs quantum wells

Abstract

Utilizing the FEniCS Project and Python programming, we conduct a comprehensive characterization and analysis of the n-type doped layer in double quantum wells made of GaAs and featuring AlGaAs barriers through self-consistent Schrödinger–Poisson simulations. The main findings reveal that the dimensions of the system and the doping layer significantly influence the electronic properties, energy levels, Fermi energy, wave functions, and electron density. Upon doping the intermediate barrier, electrons exhibit notable migration from the doping region to the quantum well zones, particularly pronounced for thin barriers. Conversely, for large barriers, the emergence of a new well, akin to a real quantum well, imposes constraints on the movement of charge carriers. The electron density varies in accordance with the impurity density, which assumes significant importance as the quantum well and barrier width are reduced. The Fermi energy level, which play a crucial role in semiconductors, rises with a decrease in quantum well width or an increase in doped layer width and n-type doping density, remaining almost unaffected by variations in barrier width.