Stark Effect of Interactive Electron-hole pairs in Spherical Semiconductor Quantum Dots

TL;DR

This paper develops a theoretical variational approach using the effective mass approximation to analyze the Stark effect on electron-hole pairs in spherical semiconductor quantum dots, showing quadratic Stark shifts consistent with experiments.

Contribution

Introduces an analytical variational method within EMA to study Stark effects in quantum dots, considering Coulomb and polarization energies, with results aligning with experimental data.

Findings

Stark shift is quadratic in electric field.

Analytical results agree with experiments.

Effective mass approximation is effective for strong confinement.

Abstract

We present a theoretical variational approach, based on the effective mass approximation (EMA), to study the quantum-confinement Stark effects for spherical semiconducting quantum dots in the strong confinement regime of interactive electron-hole pair and limiting weak electric field. The respective roles of the Coulomb potential and the polarization energy are investigated in details. Under reasonable physical assumptions, analytical calculations can be performed. They clearly indicate that the Stark shift is a quadratic function of the electric field amplitude in the regime of study. The resulting numerical values are found to be in good agreement with experimental data over a significant domain of validity.