The Energy Spectra and Heat Capacity of GaAs Gaussian Quantum Dot in an External Magnetic Field

Mohammad K Elsaid ,Ayham Shaer,M G S Ali

doi:10.21123/bsj.2021.18.2.0409

Abstract

In this paper, a theoretical study of the energy spectra and the heat capacity of one electron quantum dot with Gaussian Confinement in an external magnetic field are presented. Using the exact diagonalization technique, the Hamiltonian of the Gaussian Quantum Dot (GQD) including the electron spin is solved. All the elements in the energy matrix are found in closed form. The eigenenergies of the electron were displayed as a function of magnetic field, Gaussian confinement potential depth and quantum dot size. Explanations to the behavior of the quantum dot heat capacity curve, as a function of external applied magnetic field and temperature, are presented.

Highlights

In the last years, the study of low dimensional systems, especially quantum dot (QD) has gotten a great interest because of their unique physical properties and great device applications like lasers, single electron transistors, quantum dot solar cells, and quantum computers (1-6)
Application of a magnetic field normal to the plane of the quantum dot leads to an additional contribution to the system spectra and correlation effects of the interactive electrons in a QD
This work aims to study the energy spectra and thermal properties of an electron confined in a quantum dot with Gaussian potential under the effects of an external magnetic field

Summary

Introduction

The study of low dimensional systems, especially quantum dot (QD) has gotten a great interest because of their unique physical properties and great device applications like lasers, single electron transistors, quantum dot solar cells, and quantum computers (1-6). Application of a magnetic field normal to the plane of the quantum dot leads to an additional contribution to the system spectra and correlation effects of the interactive electrons in a QD. Various studies solved the QD-Hamiltonian with parabolic harmonic confinement potential by using several techniques. The variational technique was used to study the quantum dot system (7-10). Elsaid solved the quantum dot Hamiltonian for two interacting electrons using 1/N method (13-14). In Reference (15), the authors used the multi-parameter variational method to find the energy spectra for two interacting electrons in QD. Many authors have investigated the energy spectra for low dimensional system taking into consideration the effect of external field (16-19)

Objectives

Results

Conclusion