Abstract
The electron properties of two coupled quantum wells with a δ doping layer are investigated by solving simultaneous Schrödinger and Poisson equations while subjecting the nanosystem to a magnetic field ranging from 0 T to 30 T. The calculation is conducted using the FEniCS Project and Python programming within the effective mass and Hartree approximations. The presence of a magnetic field significantly modifies the electron density, a factor not previously considered, making this the first work to address the modification of the density of states of an electron system by a magnetic field and showing the formation of Landau levels in quantum wells. We demonstrate that the magnetic field significantly alters the electron density, Landau levels, and Fermi energy. Furthermore, these physical parameters are influenced by the dimensions of the nanostructure, represented by Ld and Lb, as well as the properties of the layers, such as δ, nd, and xi.
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