Basic Semiconductor Physics
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1 Chihiro Hamaguchi Basic Semiconductor Physics With 177 Figures and 25 Tables Springer
2 1. Energy Band Structures of Semiconductors Free-Electron Model Bloch Theorem Nearly Free Electron Approximation Reduced Zone Scheme Free-Electron Bands (Empty-Lattice Bands) Pseudopotential Method k p Perturbation Density of States Cyclotron Resonance and Energy Band Structures Cyclotron Resonance Analysis of Valence Bands Spin-Orbit Interaction Non-parabolicity of the Conduction Band Electron Motion in a Magnetic Field and Landau Levels Landau Levels Landau Levels of a Non-parabolic Band Landau Levels of the Valence Bands Wannier Function and Effective Mass Approximation Wannier Function Effective-mass Approximation Shallow Impurity Levels Impurity Levels in Ge and Si Valley-Orbit Interaction Central Cell Correction Optical Properties Reflection and Absorption Direct Transition and Absorption Coefficient Joint Density of States Indirect Transition Exciton 99
3 4.5.1 Direct Exciton Indirect Exciton Dielectric Function E 0, E 0 + A 0 Edge Ei and E x + A x Edge E 2 Edge Exciton Piezobirefringence Phenomenological Theory of Piezobirefringence Deformation Potential Theory Stress-Induced Change in Energy Band Structure 122 Optical Properties Modulation Spectroscopy Electro-optic Effect Franz-Keldysh Effect Modulation Spectroscopy Theory of Electroreflectance and Third-Derivative Form of Aspnes Raman Scattering Selection Rule of Raman Scattering Quantum Mechanical Theory of Raman Scattering Resonant Raman Scattering Brillouin Scattering Scattering Angle Brillouin Scattering Experiments Resonant Brillouin Scattering, Polaritons Phonon Polaritons Exciton Polaritons Free-Carrier Absorption and Plasmon 179 Electron Phonon Interaction and Electron Transport Lattice Vibrations Acoustic Mode and Optical Mode Harmonie Approximation Boltzmann Transport Equation Collision Term and Relaxation Time Mobility and Electrical Conductivity Scattering Probability and Transition Matrix Element Transition Matrix Element Deformation Potential Scattering (Acoustic Phonon Scattering) Ionized Impurity Scattering Piezoelectric Potential Scattering 216
4 XI Non-polar Optical Phonon Scattering Polar Optical Phonon Scattering Inter-Valley Phonon Scattering Deformation Potential in Degenerate Bands Theoretical Calculation of Deformation Potentials Electron-Electron Interaction and Plasmon Scattering Alloy Scattering Scattering Rate and Relaxation Time Acoustic Phonon Scattering Non-polar Optical Phonon Scattering Polar Optical Phonon Scattering Piezoelectric Potential Scattering Inter-Valley Phonon Scattering Ionized Impurity Scattering Neutral Impurity Scattering Plasmon Scattering Alloy Scattering Mobility Acoustic Phonon Scattering Non-Polar Optical Phonon Scattering Polar Optical Phonon Scattering Piezoelectric Potential Scattering Inter-Valley Phonon Scattering Ionized Impurity Scattering Neutral Impurity Scattering Alloy Scattering Magnetotransport Phenomena Phenomenological Theory of the Hall Effect Magnetoresistance Effects Theory of Magnetoresistance General Solutions for a Weak Magnetic Field Case of Scalar Effective Mass Magnetoresistance Shubnikov-de Haas Effect Theory of Shubnikov-de Haas Effect Longitudinal Magnetoresistance Configuration Transverse Magnetoresistance Configuration Magnetophonon Resonance Experiments and Theory of Magnetophonon Resonance Various Types of Magnetophonon Resonance Magnetophonon Resonance under High Electric and High Magnetic Fields Polaron Effect 304
5 XII 8. Quantum Structures Historical Background Two-Dimensional Electron Gas Systems Two-Dimensional Electron Gas in MOS Inversion Layer Quantum Wells and HEMT Transport Phenomena in a Two-Dimensional Electron Gas Fundamental Equations Scattering Rate Mobility of a Two-Dimensional Electron Gas Superlattices Kronig-Penney Model Effect of Brillouin Zone Folding Tight Binding Approximation sp 3 s* Tight Binding Approximation Energy Band Calculations for Superlattices Second Nearest-Neighbor sp 3 Tight Binding Approximation Mesoscopic Phenomena Mesoscopic Region Definition of Mesoscopic Region Landauer Formula and Büttiker-Landauer Formula Research in the Mesoscopic Region Aharonov-Bohm Effect (AB Effect) Ballistic Electron Transport Quantum Hall Effect Coulomb Blockade and Single Electron Transistor 407 Appendices 415 A Delta Function and Fourier Transform 415 A.l Dirac Delta Function 415 A.2 Cyclic Boundary Condition and Delta Function 417 A.3 Fourier Transform 419 B Uniaxial Stress and Strain Components in Cubic Crystals C Boson Operators 424 D Random Phase Approximation and Lindhard Dielectric Function 428 E Density Matrix 430 References 433 Index 445 About the Author 451
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