Position dependent effective mass effect on the quantum wells with three-parameter modified Manning potential

Abstract

This article reports a theoretical study of the intersubband optical properties in quantum wells with modified Manning potential considering the effects of position-dependent effective mass. Calculations are made in the effective mass and parabolic band approximations. The electronic spectrum, dipole matrix element for intersubband transitions, optical absorption coefficient, and refractive index coefficient are reported. Modifying the Manning potential’s three parameters is a useful tool to simulate single and multiple quantum wells. The solution of the eigenvalues differential equation is implemented through the expansion technique based on orthonormal trigonometric functions. Such a procedure is contrasted with those obtained from solving the problem by using the finite element method. Both methods of solving the differential equations report results with excellent agreement between them and the possibility of achieving the desired precision in the spectrum energy and the wave functions and the calculated observable. The results presented here are useful for studying isolated and multiple quantum wells where interdiffusion effects are involved in the interfaces. The findings demonstrate the versatility of the modified Manning potential since, by properly manipulating its three parameters, it is possible to tune the spectrum of energies with potential applications in next-generation optoelectronic devices.