| |
| |
List of contributors | |
| |
| |
Preface | |
| |
| |
| |
Epitaxial Growth of Semiconductors | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Epitaxial Growth Techniques | |
| |
| |
| |
Molecular-beam Epitaxy | |
| |
| |
| |
Vapour-phase Epitaxy | |
| |
| |
| |
Molecular-beam Epitaxy with Heteroatomic Precursors | |
| |
| |
| |
Epitaxial Growth Modes | |
| |
| |
| |
In Situ Observation of Growth Kinetics and Surface Morphology | |
| |
| |
| |
Reflection High-energy Electron Diffraction | |
| |
| |
| |
Scanning Tunnelling Microscopy | |
| |
| |
| |
Atomic Force Microscopy | |
| |
| |
| |
Atomistic Processes during Homoepitaxy | |
| |
| |
| |
Growth Kinetics on Vicinal GaAs(001) | |
| |
| |
| |
Anisotropic Growth and Surface Reconstructions | |
| |
| |
| |
Vicinal GaAs(001) | |
| |
| |
| |
Vicinal Si(001) | |
| |
| |
| |
Models of Homoepitaxial Kinetics | |
| |
| |
| |
The Theory of Burton, Cabrera and Frank | |
| |
| |
| |
Homogeneous Rate Equations | |
| |
| |
| |
Multilayer Growth on Singular Surfaces | |
| |
| |
| |
Mechanisms of Heteroepitaxial Growth | |
| |
| |
| |
Kinetics and Equilibrium with Misfit Strain | |
| |
| |
| |
The Frenkel-Kontorova Model | |
| |
| |
| |
Direct Growth of Quantum Heterostructures | |
| |
| |
| |
Quantum Wells and Quantum-well Superlattices | |
| |
| |
| |
Quantum Wire Superlattices | |
| |
| |
| |
Self-organized Quantum Dots | |
| |
| |
| |
Stranski-Krastanov Growth of InAs on GaAs(001) | |
| |
| |
| |
Controlled Positioning of Quantum Dots | |
| |
| |
| |
Ge 'Hut' Clusters on Si(001) | |
| |
| |
| |
Growth on Patterned Substrates | |
| |
| |
| |
Selective Area Growth | |
| |
| |
| |
Quantum Wires on 'V-Grooved' Surfaces | |
| |
| |
| |
Stranski--Krastanov Growth on Patterned Substrates | |
| |
| |
| |
Future Directions | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Electrons in Quantum Semiconductor Structures: An Introduction | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Ideal Low-dimensional Systems | |
| |
| |
| |
Free Electrons in Three Dimensions: A Review | |
| |
| |
| |
Ideal Two-dimensional Electron Gas | |
| |
| |
| |
Ideal Zero- and One-dimensional Electron Gases | |
| |
| |
| |
Quantum Wells, Wires, and Dots | |
| |
| |
| |
Real Electron Gases: Single Particle Models | |
| |
| |
| |
Ideal Square Well | |
| |
| |
| |
Some Generalizations | |
| |
| |
| |
Holes in Quantum Wells | |
| |
| |
| |
Non-parabolicity | |
| |
| |
| |
Finite Quantum Wells and Real Systems | |
| |
| |
| |
Interface Effects | |
| |
| |
| |
Effective Mass for Parallel Transport | |
| |
| |
| |
Effective-mass Correction to Conduction-band Discontinuities | |
| |
| |
| |
Quantum Wires | |
| |
| |
| |
Quantum Point Contacts | |
| |
| |
| |
Quantum Dots | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Electrons in Quantum Semiconductors Structures: More Advanced Systems and Methods | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Many-body Effects | |
| |
| |
| |
The Hartree Approximation | |
| |
| |
| |
Beyond the Hartree Approximation | |
| |
| |
| |
The 2DEG at a Heterojunction Interface | |
| |
| |
| |
The Ideal Heterojunction | |
| |
| |
| |
Some Calculational Methods | |
| |
| |
| |
The WKB Approximation | |
| |
| |
| |
The 2DEG in Doping Wells | |
| |
| |
| |
The Delta Well (Spike Doping) | |
| |
| |
| |
The Thomas--Fermi Approximation for Two-dimensional Systems | |
| |
| |
| |
The Thomas--Fermi Approximation for Heterojunctions and Delta Wells | |
| |
| |
| |
Quantum Wires and Quantum Dots | |
| |
| |
| |
Quantum Point Contacts and Quantized Conductance Steps | |
| |
| |
| |
A Closer Look at Quantum Dots | |
| |
| |
| |
The Coulomb Blockade and Single-electron Transistors | |
| |
| |
| |
Superlattices | |
| |
| |
| |
Superlattices and Multi-quantum-wells | |
| |
| |
| |
Miniband Properties: The WKB Approximation | |
| |
| |
| |
Doping Superlattices | |
| |
| |
| |
Delta-Doped n-i-p-is | |
| |
| |
| |
Compositional and Doping Superlattices | |
| |
| |
| |
Other Types of Superlattices | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Phonons in Low-dimensional Semiconductor Structures | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Phonons in Heterostructures | |
| |
| |
| |
Superlattices | |
| |
| |
| |
Mesoscopic Phonon Phenomena | |
| |
| |
| |
Electron--Phonon Interactions in Heterostructures | |
| |
| |
| |
Conclusion | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Localization and Quantum Transport | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Localization | |
| |
| |
| |
Percolation | |
| |
| |
| |
The Anderson Transition and the Mobility Edge | |
| |
| |
| |
Variable Range Hopping | |
| |
| |
| |
Minimum Metallic Conductivity | |
| |
| |
| |
Scaling Theory and Quantum Interference | |
| |
| |
| |
The Gang of Four | |
| |
| |
| |
Experiments on Weak Localization | |
| |
| |
| |
Quantum Interference | |
| |
| |
| |
Negative Magnetoresistance | |
| |
| |
| |
Single Rings and Non-local Transport | |
| |
| |
| |
Spin--orbit Coupling, Magnetic Impurities, etc. | |
| |
| |
| |
Universal Conductance Fluctuations | |
| |
| |
| |
Ballistic Transport | |
| |
| |
| |
Interaction Effects | |
| |
| |
| |
The In T Correction | |
| |
| |
| |
Wigner Crystallization | |
| |
| |
| |
The Quantum Hall Effect | |
| |
| |
| |
General | |
| |
| |
| |
The Quantum Hall Effect Measurements | |
| |
| |
| |
The Semiclassical Theory | |
| |
| |
| |
The Fractional Quantum Hall Effect | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Electronic States and Optical Properties of Quantum Wells | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
The Envelope Function Scheme | |
| |
| |
| |
The Parabolic Band Model | |
| |
| |
| |
Effects of Band Mixing | |
| |
| |
| |
Light Particle Band Non-parabolicity | |
| |
| |
| |
Valence Band Non-parabolicity | |
| |
| |
| |
Multiple Well Effects | |
| |
| |
| |
Effects of the Coulomb Interaction | |
| |
| |
| |
Excitons in Bulk Semiconductors | |
| |
| |
| |
Excitons in Quantum Wells | |
| |
| |
| |
Effects of Applied Bias | |
| |
| |
| |
Optical Absorption in a Quantum Well | |
| |
| |
| |
Optical Characterization | |
| |
| |
| |
Measurement of Absorption | |
| |
| |
| |
Features of Optical Spectra | |
| |
| |
| |
Band Non-parabolicity | |
| |
| |
| |
Valence Band Mixing | |
| |
| |
| |
Interwell Coupling | |
| |
| |
| |
Electric Field | |
| |
| |
| |
Quantum-well Solar Cells | |
| |
| |
| |
Photoconversion | |
| |
| |
| |
Basic Principles | |
| |
| |
| |
Photocurrent | |
| |
| |
| |
Recombination Current | |
| |
| |
| |
Carrier Escape | |
| |
| |
| |
Concluding Remarks | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Non-Linear Optics in Low-dimensional Semiconductors | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Non-dissipative NLO Processes | |
| |
| |
| |
Dissipative NLO Effects | |
| |
| |
| |
Potential Applications of NLO | |
| |
| |
| |
Serial Channel Applications | |
| |
| |
| |
Multi-channel Applications: Optical Computing | |
| |
| |
| |
Excitonic Optical Saturation in MQWs | |
| |
| |
| |
Excitonic Absorption at Low Intensities | |
| |
| |
| |
Saturation of Excitonic Peaks at High Intensities | |
| |
| |
| |
The Quantum Confined Stark Effect | |
| |
| |
| |
Doping Superlattices ('n-i-p-i' Crystals) | |
| |
| |
| |
Hetero--n-i-p-i Structures | |
| |
| |
| |
Band Filling Effects in Hetero--n-i-p-is | |
| |
| |
| |
The QCSE in Hetero--n-i-p-is | |
| |
| |
| |
Concluding Remarks | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Semiconductor Lasers | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Basic Laser Theory | |
| |
| |
| |
Laser Threshold | |
| |
| |
| |
Threshold Current Density | |
| |
| |
| |
Power Output | |
| |
| |
| |
Fundamental Gain Calculations | |
| |
| |
| |
Electronic Band Structure and Densities of States | |
| |
| |
| |
Carrier Density and Inversion | |
| |
| |
| |
Gain Expression | |
| |
| |
| |
Optical Gain in 2D and 3D Active Regions | |
| |
| |
| |
Strained Layers | |
| |
| |
| |
Optical Interband Matrix Element | |
| |
| |
| |
Some other Laser Geometries | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
Mesoscopic Devices | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Quantum Interference Transistors | |
| |
| |
| |
Quantum Interference and Negative Magnetoresistance | |
| |
| |
| |
The Aharanov--Bohm Effect | |
| |
| |
| |
Universal Conductance Fluctuations | |
| |
| |
| |
Quantum Interference Transistors | |
| |
| |
| |
The Gated Ring Interferometer | |
| |
| |
| |
The Stub Tuner | |
| |
| |
| |
Problems with Quantum Interference Transistors | |
| |
| |
| |
Ballistic Electron Devices | |
| |
| |
| |
Electron Transmission and the Landauer--Buttiker Formula | |
| |
| |
| |
Quantized Conductance in Ballistic Point Contacts | |
| |
| |
| |
Multi-terminal Devices | |
| |
| |
| |
The Negative Bend Resistance | |
| |
| |
| |
Quenching of the Hall Effect | |
| |
| |
| |
Possible Applications of Ballistic Electron Devices | |
| |
| |
| |
Boundary Scattering in Ballistic Structures | |
| |
| |
| |
Quantum Dot Resonant Tunnelling Devices | |
| |
| |
| |
Resonant Tunnelling through Quantum Wells | |
| |
| |
| |
Resonant Tunnelling through Quantum Dots | |
| |
| |
| |
Gated Resonant Tunnelling through Quantum Dots | |
| |
| |
| |
Coulomb Blockade and Single-electron Transistors | |
| |
| |
| |
Coulomb Blockade in the Current-biassed Single Junction | |
| |
| |
| |
Coulomb Blockade in Double Junctions | |
| |
| |
| |
Necessary Conditions for Efficient Coulomb Blockade | |
| |
| |
| |
Single-electron Transistors | |
| |
| |
| |
Co-tunnelling and Multiple Tunnel Junctions | |
| |
| |
| |
Possible Applications of Single-electron Transistors | |
| |
| |
| |
The Future of Mesoscopic Devices | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
| |
High-speed Heterostructure Devices | |
| |
| |
| |
| |
Introduction | |
| |
| |
| |
Field-effect Transistors | |
| |
| |
| |
The Si MOSFET | |
| |
| |
| |
GaAs/AlGaAs High-electron-mobility Transistor | |
| |
| |
| |
InGaAs HEMTs | |
| |
| |
| |
Delta-doped FETs | |
| |
| |
| |
Vertical Transport Devices | |
| |
| |
| |
Unipolar Diodes | |
| |
| |
| |
Hot-electron Devices | |
| |
| |
| |
Resonant Tunnelling Structures | |
| |
| |
| |
Superlattice Devices | |
| |
| |
| |
Heterojunction Bipolar Transistors | |
| |
| |
| |
Conclusions | |
| |
| |
Exercises | |
| |
| |
References | |
| |
| |
Solutions to Selected Exercises | |
| |
| |
Index | |