Bipolaron in spherical quantum dots

Other Title(s)

البولارون الثنائي في نقاط كمية كروية

Dissertant

Abu Khusah, Hibah Said Bakhit

Thesis advisor

al-Saqqa, Bassam Hashim

University

Islamic University

Faculty

Faculty of Science

Department

Department of Physics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2019

English Abstract

The problem of the polaron in spherical quantum dots is studied using the strong coupling approximation.

It is found that the energy of the polaron increases as the degree of confinement increases.

The effect of the electron-phonon interaction is found to be enhanced as the degree of confinement increases.

We have also considered the problem of bipolaron formation in the same confining potential by using the Landau–Pekar variational method in the limit of strong electron- phonon coupling.

Special attention is paid to the stability of the bipolaronic state as a function of the degree of confinement and the average distance between the two electrons.

The degree of confinement, represented by the parameter  is found to add another contribution to the problem in addition to the other parameters.

Its contribution affects the problem in an efficient way due to its possible role in determining which of the forces, the Coulomb repulsive force, or the electronphonon interaction force, will dominate over the other.

Which of these two forces will be affected more due to the degree of confinement cannot be answered easily due to the interrelated dependence of all the parameters affecting the problem.

It was found that for the bipolaron state to be stable the ratio between the Coulomb amplitude and the polaronic constant must be less than a critical value.

This critical value is found to be dependent largely on the degree of confinement.

Moreover, it is found that the large values of ?0 (larger than the polaron radius) weaken the attraction between the two electrons by the phonon field.

Main Topic

Physics

No. of Pages

55

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-902558