Effect of the Dielectric-Constant Mismatch and Magnetic Field on the Binding Energy of Hydrogenic Impurities in a Spherical Quantum Dot

TL;DR

This paper investigates how dielectric mismatch and magnetic fields influence the binding energy of hydrogenic impurities in spherical quantum dots using the effective mass approximation and variational methods.

Contribution

It introduces a detailed analysis of impurity binding energy considering dielectric mismatch and magnetic fields in spherical quantum dots, which was not comprehensively studied before.

Findings

Binding energy depends on sphere and coating radii, alloy concentration, dielectric mismatch, and magnetic field.

Magnetic field increases impurity binding energy.

Dielectric mismatch significantly affects impurity binding energy.

Abstract

Within the effective mass approximation and variational method the effect of dielectric constant mismatch between the size-quantized semiconductor sphere, coating and surrounding environment on impurity binding energy in both the absence and presence of a magnetic field is considered. The dependences of the binding energy of a hydrogenic on-center impurity on the sphere and coating radii, alloy concentration, dielectric-constant mismatch, and magnetic field intensity are found for the GaAs-Ga_(1-x)Al_(x)As-AlAs (or vacuum) system.