Harmonic-Gaussian Symmetric and Asymmetric Double Quantum Wells: Magnetic Field Effects

In this study, we considered the linear and non-linear optical properties of an electron in both symmetrical and asymmetrical double quantum wells, which consist of the sum of an internal Gaussian barrier and a harmonic potential under an applied magnetic field. Calculations are in the effective mass and parabolic band approximations. We have used the diagonalization method to find eigenvalues and eigenfunctions of the electron confined within the symmetric and asymmetric double well formed by the sum of a parabolic and Gaussian potential. A two-level approach is used in the density matrix expansion to calculate the linear and third-order non-linear optical absorption and refractive index coefficients. The potential model proposed in this study is useful for simulating and manipulating the optical and electronic properties of symmetric and asymmetric double quantum heterostructures, such as double quantum wells and double quantum dots, with controllable coupling and subjected to externally applied magnetic fields.

Automated summary

In this study, we investigated the optical properties of electrons in symmetrical and asymmetrical double quantum wells under an applied magnetic field. The calculations were carried out using the effective mass and parabolic band approximations. By diagonalization, we obtained the eigenvalues and eigenfunctions of the confined electron. The linear and third-order non-linear optical absorption and refractive index coefficients were calculated using a two-level density matrix expansion. The proposed potential model is valuable for simulating and controlling the optical and electronic properties of double quantum heterostructures subjected to externally applied magnetic fields.