1 Energy Band Structures of Semiconductors |
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1 | (64) |
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1 | (2) |
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3 | (2) |
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1.3 Nearly Free Electron Approximation |
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5 | (4) |
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9 | (1) |
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1.5 Free-Electron Bands (Empty-Lattice Bands) |
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10 | (6) |
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1.5.1 First Brillouin Zone |
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10 | (2) |
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1.5.2 Reciprocal Lattice Vectors of fcc Crystal |
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12 | (1) |
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1.5.3 Free Electron Bands |
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13 | (3) |
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1.6 Pseudopotential Method |
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16 | (19) |
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1.6.1 Local Pseudopotential Theory |
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16 | (4) |
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1.6.2 Pseudopotential Form Factors |
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20 | (3) |
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1.6.3 Nonlocal Pseudopotential Theory |
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23 | (3) |
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1.6.4 Energy Band Calculation by Local Pseudopotential Method |
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26 | (4) |
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1.6.5 Spin-Orbit Interaction |
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30 | (3) |
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1.6.6 Energy Band Calculations by Nonlocal Pseudopotential Method with Spin-Orbit Interaction |
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33 | (2) |
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35 | (24) |
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35 | (6) |
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1.7.2 Derivation of the k · p Parameters |
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41 | (5) |
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1.7.3 15-band k · pMethod |
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46 | (4) |
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1.7.4 Antisymmetric Potentials for Zinc Blende Crystals |
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50 | (1) |
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1.7.5 Spin-orbit Interaction Hamiltonian |
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51 | (3) |
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1.7.6 30-band k p Method with the Spin-Orbit Interaction |
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54 | (5) |
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59 | (3) |
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62 | (1) |
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62 | (3) |
2 Cyclotron Resonance and Energy Band Structures |
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65 | (60) |
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65 | (9) |
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2.2 Analysis of Valence Bands |
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74 | (6) |
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2.3 Spin-Orbit Interaction |
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80 | (7) |
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2.4 Non-parabolicity of the Conduction Band |
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87 | (3) |
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2.5 Electron Motion in a Magnetic Field and Landau Levels |
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90 | (23) |
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90 | (6) |
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2.5.2 Density of States and Inter Landau Level Transition |
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96 | (2) |
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2.5.3 Landau Levels of a Non-parabolic Band |
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98 | (3) |
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101 | (3) |
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2.5.5 Landau Levels of the Valence Bands |
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104 | (6) |
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2.5.6 Magneto-optical Absorption |
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110 | (3) |
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2.6 Luttinger Hamiltonian |
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113 | (3) |
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116 | (6) |
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122 | (1) |
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123 | (2) |
3 Wannier Function and Effective Mass Approximation |
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125 | (28) |
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125 | (2) |
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3.2 Effective-Mass Approximation |
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127 | (5) |
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3.3 Shallow Impurity Levels |
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132 | (3) |
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3.4 Impurity Levels in Ge and Si |
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135 | (6) |
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3.4.1 Valley-Orbit Interaction |
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138 | (1) |
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3.4.2 Central Cell Correction |
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139 | (2) |
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3.5 Electron Motion Under an External Field |
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141 | (9) |
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142 | (3) |
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3.5.2 Electron Motion Under an External Force |
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145 | (3) |
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3.5.3 Electron Motion and Effective Mass |
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148 | (2) |
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150 | (1) |
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150 | (3) |
4 Optical Properties 1 |
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153 | (52) |
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4.1 Reflection and Absorption |
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153 | (5) |
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4.2 Direct Transition and Absorption Coefficient |
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158 | (2) |
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4.3 Joint Density of States |
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160 | (5) |
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165 | (6) |
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171 | (12) |
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171 | (9) |
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180 | (3) |
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183 | (9) |
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186 | (2) |
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4.6.2 E1 and E1 + Δ1 Edge |
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188 | (1) |
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189 | (1) |
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190 | (2) |
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192 | (10) |
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4.7.1 Phenomenological Theory of Piezobirefringence |
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192 | (1) |
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4.7.2 Deformation Potential Theory |
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193 | (3) |
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4.7.3 Stress-Induced Change in Energy Band Structure |
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196 | (6) |
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202 | (2) |
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204 | (1) |
5 Optical Properties 2 |
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205 | (60) |
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5.1 Modulation Spectroscopy |
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205 | (14) |
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5.1.1 Electro-Optic Effect |
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205 | (2) |
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5.1.2 Franz-Keldysh Effect |
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207 | (4) |
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5.1.3 Modulation Spectroscopy |
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211 | (3) |
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5.1.4 Theory of Electroreflectance and Third-Derivative Form of Aspnes |
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214 | (5) |
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219 | (19) |
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5.2.1 Selection Rule of Raman Scattering |
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225 | (5) |
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5.2.2 Quantum Mechanical Theory of Raman Scattering |
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230 | (5) |
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5.2.3 Resonant Raman Scattering |
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235 | (3) |
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238 | (12) |
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240 | (4) |
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5.3.2 Brillouin Scattering Experiments |
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244 | (2) |
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5.3.3 Resonant Brillouin Scattering |
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246 | (4) |
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250 | (7) |
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250 | (4) |
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254 | (3) |
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5.5 Free-Carrier Absorption and Plasmon |
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257 | (6) |
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263 | (1) |
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263 | (2) |
6 Electron-Phonon Interaction and Electron Transport |
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265 | (100) |
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265 | (14) |
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6.1.1 Acoustic Mode and Optical Mode |
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265 | (5) |
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6.1.2 Harmonic Approximation |
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270 | (9) |
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6.2 Boltzmann Transport Equation |
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279 | (10) |
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6.2.1 Collision Term and Relaxation Time |
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281 | (3) |
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6.2.2 Mobility and Electrical Conductivity |
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284 | (5) |
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6.3 Scattering Probability and Transition Matrix Element |
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289 | (36) |
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6.3.1 Transition Matrix Element |
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289 | (3) |
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6.3.2 Deformation Potential Scattering (Acoustic Phonon Scattering) |
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292 | (2) |
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6.3.3 Ionized Impurity Scattering |
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294 | (5) |
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6.3.4 Piezoelectric Potential Scattering |
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299 | (3) |
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6.3.5 Non-polar Optical Phonon Scattering |
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302 | (1) |
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6.3.6 Polar Optical Phonon Scattering |
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303 | (5) |
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6.3.7 Inter-Valley Phonon Scattering |
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308 | (1) |
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6.3.8 Deformation Potential in Degenerate Bands |
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309 | (2) |
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6.3.9 Theoretical Calculation of Deformation Potentials |
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311 | (5) |
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6.3.10 Electron-Electron Interaction and Plasmon Scattering |
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316 | (7) |
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323 | (2) |
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6.4 Scattering Rate and Relaxation Time |
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325 | (20) |
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6.4.1 Acoustic Phonon Scattering |
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329 | (5) |
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6.4.2 Non-polar Optical Phonon Scattering |
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334 | (1) |
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6.4.3 Polar Optical Phonon Scattering |
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335 | (2) |
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6.4.4 Piezoelectric Potential Scattering |
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337 | (2) |
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6.4.5 Inter-Valley Phonon Scattering |
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339 | (2) |
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6.4.6 Ionized Impurity Scattering |
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341 | (2) |
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6.4.7 Neutral Impurity Scattering |
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343 | (1) |
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343 | (1) |
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344 | (1) |
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345 | (17) |
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6.5.1 Acoustic Phonon Scattering |
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347 | (1) |
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6.5.2 Non-polar Optical Phonon Scattering |
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347 | (4) |
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6.5.3 Polar Optical Phonon Scattering |
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351 | (2) |
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6.5.4 Piezoelectric Potential Scattering |
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353 | (1) |
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6.5.5 Inter-Valley Phonon Scattering |
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353 | (3) |
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6.5.6 Ionized Impurity Scattering |
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356 | (2) |
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6.5.7 Neutral Impurity Scattering |
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358 | (1) |
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358 | (2) |
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360 | (1) |
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6.5.10 Electron Mobility in GaN |
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361 | (1) |
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362 | (1) |
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363 | (2) |
7 Magnetotransport Phenomena |
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365 | (50) |
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7.1 Phenomenological Theory of the Hall Effect |
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365 | (7) |
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7.2 Magnetoresistance Effects |
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372 | (8) |
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7.2.1 Theory of Magnetoresistance |
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372 | (1) |
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7.2.2 General Solutions for a Weak Magnetic Field |
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372 | (2) |
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7.2.3 Case of Scalar Effective Mass |
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374 | (2) |
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376 | (4) |
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7.3 Shubnikov-de Haas Effect |
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380 | (10) |
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7.3.1 Theory of Shubnikov-de Haas Effect |
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380 | (4) |
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7.3.2 Longitudinal Magnetoresistance Configuration |
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384 | (3) |
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7.3.3 Transverse Magnetoresistance Configuration |
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387 | (3) |
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7.4 Magnetophonon Resonance |
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390 | (21) |
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7.4.1 Experiments and Theory of Magnetophonon Resonance |
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390 | (8) |
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7.4.2 Various Types of Magnetophonon Resonance |
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398 | (5) |
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7.4.3 Magnetophonon Resonance Under High Electric and High Magnetic Fields |
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403 | (4) |
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407 | (4) |
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411 | (1) |
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412 | (3) |
8 Quantum Structures |
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415 | (132) |
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8.1 Historical Background |
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415 | (1) |
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8.2 Two-Dimensional Electron Gas Systems |
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416 | (17) |
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8.2.1 Two-Dimensional Electron Gas in MOS Inversion Layer |
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416 | (10) |
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8.2.2 Quantum Wells and HEMT |
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426 | (7) |
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8.3 Transport Phenomena of Two-Dimensional Electron Gas |
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433 | (38) |
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8.3.1 Fundamental Equations |
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433 | (3) |
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436 | (28) |
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8.3.3 Mobility of a Two-Dimensional Electron Gas |
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464 | (7) |
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471 | (23) |
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8.4.1 Kronig-Penney Model |
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471 | (3) |
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8.4.2 Effect of Brillouin Zone Folding |
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474 | (3) |
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8.4.3 Tight Binding Approximation |
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477 | (2) |
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8.4.4 sp3s* Tight Binding Approximation |
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479 | (2) |
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8.4.5 Energy Band Calculations for Superlattices |
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481 | (5) |
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8.4.6 Second Nearest-Neighbor spa Tight Binding Approximation |
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486 | (8) |
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494 | (14) |
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494 | (2) |
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8.5.2 Definition of Mesoscopic Region |
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496 | (2) |
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8.5.3 Landauer Formula and Buttiker-Landauer Formula |
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498 | (6) |
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8.5.4 Research in the Mesoscopic Region |
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504 | (1) |
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8.5.5 Aharonov-Bohm Effect (AB Effect) |
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504 | (2) |
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8.5.6 Ballistic Electron Transport |
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506 | (2) |
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508 | (12) |
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8.7 Coulomb Blockade and Single Electron Transistor |
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520 | (6) |
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526 | (15) |
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526 | (5) |
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8.8.2 Exact Diagonalization Method |
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531 | (1) |
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8.8.3 Hamiltonian for Electrons in a Quantum Dot |
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532 | (3) |
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8.8.4 Diagonalization of N Electrons Hamiltonian Matrix |
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535 | (2) |
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8.8.5 Electronic States in Quantum Dots |
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537 | (1) |
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8.8.6 Quantum Dot States in Magnetic Field |
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538 | (1) |
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8.8.7 Electronic States in Elliptic and Triangular Quantum Dots |
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539 | (2) |
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541 | (1) |
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542 | (5) |
9 Light Emission and Laser |
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547 | (88) |
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9.1 Einstein Coefficients A and B |
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548 | (2) |
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9.2 Spontaneous Emission and Stimulated Emission |
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550 | (6) |
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556 | (5) |
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561 | (15) |
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9.4.1 Luminescence Due to Band to Band Transition |
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561 | (1) |
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9.4.2 Luminescence Due to Excitons |
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562 | (3) |
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9.4.3 Luminescence via Impurities |
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565 | (5) |
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9.4.4 Luminescence in GaP and GaAsP via N Traps |
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570 | (4) |
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9.4.5 Luminescence from GaInNAs |
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574 | (2) |
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9.4.6 Light Emitting Diodes (LEDs) in Visible Region |
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576 | (1) |
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9.5 Heterostructure Optical Waveguide |
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576 | (16) |
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9.5.1 Wave Equations for Planar Waveguide |
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577 | (5) |
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9.5.2 Transverse Electric Modes |
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582 | (1) |
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9.5.3 Transverse Magnetic Modes |
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583 | (2) |
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9.5.4 Effective Refractive Index |
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585 | (1) |
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586 | (2) |
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9.5.6 Laser Oscillations. |
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588 | (4) |
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9.6 Stimulated Emission in Quantum Well Structures |
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592 | (18) |
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9.6.1 Confinement in Quantum Well |
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593 | (4) |
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9.6.2 Optical Transition in Quantum Well Structures |
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597 | (5) |
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9.6.3 Reduced Density of States and Gain |
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602 | (3) |
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605 | (5) |
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9.7 Wurtzite Semiconductor Lasers |
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610 | (22) |
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9.7.1 Energy Band Structure of Wurtzite Crystals |
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611 | (8) |
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9.7.2 Bowing of the Band Gaps and the Effective Masses in the Ternary Alloys |
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619 | (5) |
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9.7.3 Valence Band Structure in the Presence of Strain |
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624 | (7) |
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9.7.4 Optical Gain of Nitride Quantum Well Structures |
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631 | (1) |
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632 | (1) |
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633 | (2) |
10 Answers for Problems |
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635 | (28) |
Appendices |
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663 | (34) |
Bibliography |
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697 | (4) |
Index |
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701 | |