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