A general theoretical design of semiconductor nanostructures with equispaced energy levels: preliminary report for quantum wells in semiconductor ternary alloys (AxB1-xC)

Abstract

The purpose of this study is to formulate a general theoretical design of equispaced energy levels for semiconductor nanostructures. Here we present a preliminary report for the design of equispaced energy levels for quantum wells (QWs) in semiconductor ternary alloys (A_xB_1-xC). The procedure is by mapping the envelope function Schrodinger equation for a realistic QW, with the local conduction-band edges as the potential experienced by an electron in the QW into an effective-mass Schrodinger equation with a linear harmonic oscillator potential by the method of coordinate transformation. The electron effective mass and potential are then obtained as the signatures for the equispaced energy levels for QWs in semiconductor ternary alloys.

Keywords: Semiconductor nanostructures, Ternary alloys, Quantum wells, Equispaced energy levels, Effective mass