Non-stationary electric and optical properties of bulk conducting materials and low-dimensional structures

Contents ......Page 3
1.1 Electron in a Periodic Field ......Page 5
1.1.1 Electron in a Periodic Potential ......Page 6
1.2 Tight Binding Approximation ......Page 7
1.3 The Model of Near Free Electrons ......Page 10
1.4.1 Effective Mass ......Page 12
1.4.2 Wannier Theorem —> Effective Mass Approach ......Page 13
1.5.1 Electric current in a Bloch State. Concept of Holes ......Page 14
1.6 Classification of Materials ......Page 15
1.7.1 Classical Mechanics ......Page 17
1.7.2 Quantum Mechanics of Bloch Electron (Landau Quantization) ......Page 23
1.8 Second Quantization of Electrons ......Page 25
1.9 Problems ......Page 27
2.1 The Boltzmann Equation for Electrons ......Page 29
2.2 Conductivity and Thermoelectric Phenomena ......Page 33
2.3 Energy Transport ......Page 38
2.4 Neutral and Ionized Impurities ......Page 40
2.5 Electron-Electron Scattering ......Page 43
2.6 Scattering by Lattice Vibrations ......Page 45
2.7 Electron-Phonon Interaction in Semiconductors ......Page 56
2.8 Galvano- and Thermo-Magnetic ......Page 61
2.9 Shubnikov-de Haas effect ......Page 70
2.10 Response to "slow" perturbations ......Page 71
2.11 "Hot" electrons ......Page 74
2.12 Impact ionization ......Page 77
2.13 Few Words About Phonon Kinetics ......Page 80
2.14 Problems ......Page 81
3.1 Skin Effect ......Page 83
3.2 Cyclotron Resonance ......Page 86
3.3 Time and Spatial Dispersion ......Page 92
3.4 ... Waves in a Magnetic Field ......Page 96
3.5 Problems ......Page 97
4.1 Landau Attenuation ......Page 99
4.2 Geometric Oscillations ......Page 101
4.3 Giant Quantum Oscillations ......Page 102
4.4 Acoustical properties of semicondictors ......Page 104
4.5 Problems ......Page 108
5.1 Preliminary discussion ......Page 111
5.2 Phot on-Material Interaction ......Page 112
5.3 Microscopic single-electron theory ......Page 119
5.4 Selection rules ......Page 121
5.5 Intraband Transitions ......Page 128
5.6 Problems ......Page 132
6.1 Excitonic states in semiconductors ......Page 133
6.2 Excitonic effects in optical properties ......Page 136
6.3 Excitonic states in quantum wells ......Page 137
7.1 Impurity states ......Page 141
7.2 Localization of electronic states ......Page 145
7.3 Impurity band for lightly doped semiconductors ......Page 149
7.4 AC conductance due to localized states ......Page 155
7.5 Interband light absorption ......Page 162
8 Solutions of the Problems ......Page 167
A Band structure of semiconductors ......Page 175
A.l Symmetry of the band edge states ......Page 179
A.2 Modifications in heterostructures ......Page 181
A.3 Impurity states ......Page 184