Quantum Dots

1. Front Matter

   Pages I-VIII

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2. Introduction

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 1-3

3. Creation and Structure of Quantum Dots

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 5-14

4. Single-Particle States of Quantum Dots

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 15-25

5. Properties of an Interacting System

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 27-49

6. Intraband Optical Transitions

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 51-58

7. Interband Optical Transitions

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 59-82

8. Capacitance Spectroscopy

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 83-96

9. Description of the Properties of Self-Assembled Quantum Dots Within the Band-Structure Model

   • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

   Pages 97-125

10. Description of a Many-Electron Quantum Dot with the Inclusion of the Spin—Orbit Interaction

    • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

    Pages 127-139

11. Description of an Exciton in a Quantum Dot Within the Effective-Mass Approximation

    • Lucjan Jacak, Arkadiusz Wöjs, Paweł Hawrylak

    Pages 141-163

12. Back Matter

    Pages 165-176

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We present an overview of the theoretical background and experimental re­ sults in the rapidly developing field of semiconductor quantum dots - systems 8 6 of dimensions as small as 10- -10- m (quasi-zero-dimensional) that contain a small and controllable number (1-1000) of electrons. The electronic structure of quantum dots, including the energy quan­ tization of the single-particle states (due to spatial confinement) and the evolution of these (Fock-Darwin) states in an increasing external magnetic field, is described. The properties of many-electron systems confined in a dot are also studied. This includes the separation of the center-of-mass mo­ tion for the parabolic confining potential (and hence the insensitivity of the transitions under far infrared radiation to the Coulomb interactions and the number of particles - the generalized Kohn theorem) and the effects due to Coulomb interactions (formation of the incompressible magic states at high magnetic fields and their relation to composite jermions), and finally the spin-orbit interactions. In addition, the excitonic properties of quantum dots are discussed, including the energy levels and the spectral function of a single exciton, the relaxation of confined carriers, the metastable states and their effect on the photoluminescence spectrum, the interaction of an exciton with carriers, and exciton condensation. The theoretical part of this work, which is based largely on original re­ sults obtained by the authors, has been supplemented with descriptions of various methods of creating quantum-dot structures.

• electronic structure
• mechanics
• quantum dot
• quantum mechanics
• spectroscopy

• Wrocław University of Technology, Wrocław, Poland

  Lucjan Jacak, Arkadiusz Wójs

• Institute for Microstructural Sciences, National Research Council of Canada, Ottawa, Canada

  Paweł Hawrylak

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