Preface | |

Introduction | |

The Free Electron Picture | p. 1 |

Atoms in Solids | p. 1 |

The Drude Model | p. 2 |

Quantum Mechanics and Electrons | p. 12 |

The Density of States | p. 16 |

Filling of Electronic States | p. 18 |

Periodicity: Crystal Structures | p. 28 |

Periodicity of a Crystal | p. 28 |

Basic Lattice Types | p. 32 |

The Reciprocal Lattice | p. 40 |

Artificial Structures: Superlattices | p. 47 |

Surfaces: Ideal Versus Real | p. 50 |

Interfaces | p. 53 |

Wave Diffraction in Periodic Structures | p. 61 |

Bragg's Law | p. 62 |

Laue Conditions | p. 64 |

Diffraction from Random Scatterers | p. 66 |

Diffraction Methods | p. 74 |

Temperature Dependent Effects | p. 78 |

Electrons in Periodic Structures | p. 91 |

Periodicity and Bloch's Theorem | p. 92 |

Significance of k: Crystal Momentum | p. 97 |

Electron States in a Weak Periodic Potential | p. 100 |

A Simple Description of Band Filling | p. 115 |

Holes in Semiconductors | p. 117 |

Semiconductor Bandstructure | p. 126 |

The Tight Binding Method | p. 127 |

The Spin-Orbit Coupling | p. 140 |

Symmetry of Conduction Bandedge States | p. 146 |

Symmetry of Valence Bandedge States | p. 147 |

The Orthogonalized Plane Wave Method | p. 149 |

The Pseudopotential Method | p. 150 |

The k[actual symbol not reproducible]p Method | p. 151 |

Selected Bandstructures | p. 159 |

Density of States in Semiconductors | p. 169 |

Bandstructure Modifications: Alloys and Heterostructures | p. 178 |

Bandstructure of Semiconductor Alloys | p. 179 |

Bandstructure Modifications by Heterostructures | p. 190 |

Bandstructure in Quantum Wells | p. 194 |

Bandstructure in Superlattices | p. 201 |

Bandstructure Modifications Through Strain | p. 218 |

Critical Thickness | p. 218 |

Elastic Strain | p. 221 |

The Elastic Constants | p. 223 |

Strain Tensor in Lattice Mismatched Epitaxy | p. 226 |

Deformation Potential Theory | p. 228 |

Bandgap Alteration | p. 246 |

Built-in Electric Fields in Strained Quantum Wells | p. 246 |

Doping of Semiconductors | p. 254 |

Intrinsic Carrier Concentration | p. 254 |

The Effective Mass Equation for Shallow Levels | p. 258 |

Extrinsic Carriers | p. 266 |

Population of Impurity Levels, Carrier Freeze-out | p. 267 |

Heavily Doped Semiconductors | p. 270 |

Modulation Doping | p. 274 |

Hydrogenic Impurities in Quantum Wells | p. 276 |

Lattice Vibrations: Phonons | p. 285 |

Considerations for Crystal Binding | p. 286 |

Crystal Vibrations for a Monatomic Basis | p. 292 |

Crystal Vibrations for a Diatomic Basis | p. 296 |

Phonons: Quantization of Lattice Vibrations | p. 299 |

Polar Optical Phonons | p. 301 |

Optical Phonon-Photon Interactions | p. 304 |

Phonon Statistics | p. 309 |

Models for Phonon Energy | p. 312 |

Phonon Dispersion Measurement Techniques | p. 315 |

Phonons in Heterostructures | p. 318 |

Transport: General Formalism | p. 324 |

Relaxation Times | p. 326 |

The Boltzmann Transport Equation | p. 327 |

Averaging Procedures | p. 336 |

Mobility Measurement Techniques | p. 338 |

Hall Mobility | p. 342 |

Solution of the Boltzmann Transport Equation | p. 346 |

Defect and Carrier-Carrier Scattering | p. 357 |

Ionized Impurity Scattering | p. 359 |

Alloy Scattering | p. 369 |

Carrier-Carrier Scattering | p. 374 |

Auger Processes and Impact Ionization | p. 381 |

Phonon Scattering | p. 397 |

General Formalism | p. 397 |

Limits on Phonon Wavevectors | p. 403 |

Selection Rules for Phonon Scattering | p. 410 |

Acoustic Phonon Scattering | p. 411 |

Deformation Potential Optical Phonon Scattering | p. 414 |

Polar Optical Phonon Scattering | p. 417 |

Electron-Plasmon Scattering | p. 424 |

Piezoelectric Scattering | p. 425 |

Intervalley Scattering | p. 427 |

The Polaron | p. 429 |

The Velocity-Field Relations | p. 433 |

Low Field Transport | p. 434 |

High Field Transport | p. 437 |

Monte Carlo Simulation of Carrier Transport | p. 439 |

Electron Transport Monte Carlo Calculations | p. 459 |

High Field Electron Transport in Si | p. 462 |

Hole Transport Monte Carlo Calculations | p. 464 |

Balance Equation Approach to High Field Transport | p. 471 |

Impact Ionization in Semiconductors | p. 475 |

Zener-Bloch Oscillations | p. 480 |

Transport in Heterostructures | p. 496 |

Parallel Transport in Quantum Wells and MODFETs | p. 498 |

Mobility in a MODFET Quantum Well | p. 505 |

High Temperature / High Field Transport | p. 511 |

Effect of Strain on Transport | p. 511 |

Transport in Quantum Wires | p. 517 |

Real Space Charge Transfer | p. 518 |

Avalanche Processes in Quantum Well Structures | p. 520 |

Quantum Transport | p. 523 |

Resonant Tunneling | p. 524 |

Tunneling in Heterostructures with Spatially Varying Central Cell Symmetry | p. 530 |

Perpendicular Transport in Superlattices | p. 539 |

Quantum Interference Effects | p. 541 |

Density Matrix Formalism | p. 544 |

Interactions of Photons With Semiconductors | p. 557 |

Maxwell Equations, Vector Potential, and Gauge Transformations | p. 559 |

Drude-Zener Theory | p. 564 |

Optical Modes in Ionic Crystals | p. 567 |

Kramers-Kronig Relation | p. 568 |

Electrons in an Electromagnetic Field | p. 572 |

Selection Rules for Optical Processes | p. 576 |

Interband Transitions | p. 578 |

Optical Processes in Semiconductor Lasers | p. 586 |

Indirect Interband Transitions | p. 595 |

Intraband Transitions | p. 599 |

Optical Properties in Semiconductors: Excitonic Transitions | p. 615 |

Excitonic States in Semiconductors | p. 617 |

Optical Properties with Inclusion of Excitonic Effects | p. 622 |

Excitonic States in Quantum Wells | p. 627 |

Excitonic Absorption in Quantum Wells | p. 632 |

Exciton Broadening Effects | p. 634 |

Modulation of Excitonic Transitions: Quantum Confined Stark Effect | p. 637 |

Exiton Quenching | p. 646 |

Refractive Index Modulation Due to Exciton Modulation | p. 653 |

Strain Induced Electric Fields for Enhanced Optical Modulation | p. 657 |

Radiative Recombination from Excitonic States | p. 658 |

Semiconductors in Magnetic Fields | p. 668 |

Semiclassical Dynamics of Electrons in a Magnetic Field | p. 670 |

Semiclassical Theory of Magnetotransport | p. 675 |

Quantum Mechanical Approach to Electrons in a Magnetic Field | p. 676 |

The Aharonov-Bohm Effect | p. 683 |

The De Haas-Van Alphen Effect | p. 686 |

The Shubnikov-De Haas Effect | p. 691 |

The Quantum Hall Effect | p. 695 |

Magneto-optics in Landau Levels | p. 701 |

Excitons in Magnetic Field | p. 703 |

Shallow Impurities in Magnetic Fields | p. 707 |

Magnetic Semiconductors | p. 709 |

Defects and Disorder in Semiconductors | p. 714 |

Point Defects in Semiconductors | p. 715 |

Trapping and Recombination | p. 723 |

Dislocations and Lattice Mismatched Epitaxy | p. 728 |

Disordered Semiconductors | p. 738 |

Extended and Localized States | p. 739 |

Mesoscopic Structures | p. 751 |

And Now Something of Real Consequence: Devices | p. 759 |

Some Recent Trends | p. 759 |

Requirements for Successful Devices | p. 760 |

A Summary of Some Important Devices | p. 768 |

A. The Wave Packet Picture | p. 783 |

B. Electron in a Quantum Well | p. 788 |

C. The Harmonic Oscillator Problem | p. 791 |

D. Combination of Angular Momentum States | p. 795 |

E. Stationary Perturbation Theory | p. 797 |

F. Eigenvalue Method to Solve Coupled Equations | p. 801 |

G. The Zeeman Effect | p. 804 |

H. The Variational Method | p. 807 |

I. Time Dependent Perturbation Theory and the Fermi Golden Rule | p. 810 |

J. Gaussian and MKSA Units | p. 815 |

K. Numerical Evaluation of Some Physical Parameters | p. 819 |

L. Selected Properties of Semiconductors | p. 824 |

M. Evaluation of Scattering Rates for a Monte Carlo Program | p. 828 |

N. Wide Band Gap Semiconductors | p. 836 |

Index | p. 843 |

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