|
Some Basic Facts on Semiconductors |
|
|
1 | (6) |
|
Semiconductor Heterostructures |
|
|
2 | (2) |
|
Doped and Modulation-Doped Semiconductors |
|
|
4 | (3) |
|
Interaction of Matter and Electromagnetic Fields |
|
|
7 | (44) |
|
Microscopic Maxwell Equations |
|
|
8 | (2) |
|
The Many-Particle Hamiltonian |
|
|
10 | (2) |
|
Second Quantization for Particles |
|
|
12 | (7) |
|
Quantization of Electromagnetic Fields |
|
|
19 | (5) |
|
|
22 | (2) |
|
The Interaction Hamiltonian of Fields and Particles |
|
|
24 | (5) |
|
Macroscopic Maxwell Equations and Response Functions |
|
|
29 | (14) |
|
Direct Calculation of Induced Charges and Currents |
|
|
30 | (2) |
|
Phenomenological Theory of Linear Response |
|
|
32 | (2) |
|
Time-Dependent Perturbation Theory |
|
|
34 | (1) |
|
Longitudinal Response Functions |
|
|
35 | (5) |
|
Transverse Response Functions |
|
|
40 | (3) |
|
Measurable Quantities in Optics |
|
|
43 | (5) |
|
Linear Optical Susceptibility and Macroscopic Polarization |
|
|
46 | (1) |
|
|
47 | (1) |
|
|
48 | (3) |
|
|
51 | (34) |
|
Hartree-Fock Theory for Zero Temperature |
|
|
52 | (3) |
|
Hartree-Fock Theory for Finite Temperature |
|
|
55 | (5) |
|
Band Structure and Ground-State Properties |
|
|
60 | (9) |
|
The Local-Density Approximation |
|
|
60 | (5) |
|
|
65 | (4) |
|
The Effective-Mass Approximation |
|
|
69 | (4) |
|
kp Perturbation Theory for Degenerate Bands |
|
|
73 | (4) |
|
Transition Matrix Elements |
|
|
77 | (3) |
|
|
80 | (1) |
|
Position of the Chemical Potential |
|
|
81 | (2) |
|
|
83 | (2) |
|
Uncorrelated Optical Transitions |
|
|
85 | (30) |
|
The Optical Bloch Equations |
|
|
86 | (5) |
|
Linear Optical Properties |
|
|
91 | (3) |
|
Nonlinear Optical Properties |
|
|
94 | (15) |
|
Perturbation Analysis in the Frequency Domain |
|
|
95 | (2) |
|
Introducing the Bloch Vector |
|
|
97 | (6) |
|
Perturbation Analysis in the Time Domain |
|
|
103 | (4) |
|
|
107 | (2) |
|
Semiconductor Photodetectors |
|
|
109 | (4) |
|
The Field-Field Correlation Function and its Relation to Coherence |
|
|
110 | (3) |
|
|
113 | (2) |
|
Correlated Transitions of Bloch Electrons |
|
|
115 | (20) |
|
Equations of Motion in the Hartree-Fock Approximation |
|
|
115 | (4) |
|
Linear Optical Properties: The Continuum of Interband Transitions |
|
|
119 | (8) |
|
The Bethe-Salpeter Equation |
|
|
122 | (2) |
|
|
124 | (3) |
|
Solution by Continued Fractions |
|
|
127 | (4) |
|
|
131 | (4) |
|
Correlated Transitions near the Band Edge |
|
|
135 | (40) |
|
The Semiconductor Bloch Equations |
|
|
135 | (3) |
|
Linear Optical Properties: Bound Electron-Hole Pairs |
|
|
138 | (21) |
|
The Coulomb Green's Function |
|
|
140 | (4) |
|
Optical Properties due to Bound Electron-Hole Pairs |
|
|
144 | (5) |
|
|
149 | (1) |
|
Excitons in Quantum Wells |
|
|
150 | (4) |
|
Propagation of Light: Polaritons and Cavity Polaritons |
|
|
154 | (5) |
|
Nonlinear Optical Properties |
|
|
159 | (13) |
|
The Local-Field Approximation |
|
|
159 | (7) |
|
|
166 | (6) |
|
|
172 | (3) |
|
Influence of Static Magnetic Fields |
|
|
175 | (32) |
|
|
176 | (12) |
|
Effective Mass Theory for Isolated Bands |
|
|
178 | (3) |
|
Degenerate Bloch Electrons in a Magnetic Field |
|
|
181 | (5) |
|
One-Particle States in Quantum Wells |
|
|
186 | (2) |
|
Optical Properties of Magneto-Excitons |
|
|
188 | (16) |
|
Evaluation of the Coulomb Matrix Element |
|
|
189 | (2) |
|
Linear Optical Properties |
|
|
191 | (5) |
|
Semiconductor Bloch Equations in Two and Three Dimensions |
|
|
196 | (2) |
|
Boise Condensation of Magnetoexcitons in Two Dimensions |
|
|
198 | (3) |
|
Nonlinear Absorption of Magnetoexcitons in Quantum Wells |
|
|
201 | (3) |
|
|
204 | (3) |
|
Influence of Static Electric Fields |
|
|
207 | (30) |
|
|
207 | (2) |
|
Uncorrelated Optical Transitions in Uniform Electric Fields |
|
|
209 | (4) |
|
|
211 | (2) |
|
Correlated Optical Transitions in Uniform Electric Fields |
|
|
213 | (5) |
|
|
214 | (3) |
|
Representation in Parabolic Coordinates |
|
|
217 | (1) |
|
Quantum Wells in Electric Fields |
|
|
218 | (4) |
|
Superlattices in Electric Fields |
|
|
222 | (13) |
|
One-Particle States in Superlattices |
|
|
222 | (9) |
|
Semiconductor Bloch Equations |
|
|
231 | (4) |
|
|
235 | (2) |
|
|
237 | (28) |
|
Truncation of the Many-Particle Problem in Coherently Driven Systems |
|
|
240 | (4) |
|
Decomposition of Expectation Values |
|
|
241 | (3) |
|
Equations of Motion in the Coherent Limit |
|
|
244 | (8) |
|
|
245 | (2) |
|
|
247 | (5) |
|
Bound-State and Scattering Contributions |
|
|
252 | (4) |
|
Separation of Bound States |
|
|
252 | (2) |
|
Biexcitonic Scattering Contributions |
|
|
254 | (2) |
|
Signatures of Biexcitonic Bound States |
|
|
256 | (8) |
|
|
257 | (2) |
|
|
259 | (5) |
|
|
264 | (1) |
|
Nonequilibrium Green's Functions |
|
|
265 | (48) |
|
Time Evolution under the Action of External Fields |
|
|
266 | (3) |
|
Definitions of One-Particle Green's Functions |
|
|
269 | (4) |
|
Equations of Motion of One-Particle Green's Functions |
|
|
273 | (5) |
|
Screened Interaction, Polarization, and Vertex Function |
|
|
278 | (3) |
|
Quantum Kinetic Equations |
|
|
281 | (10) |
|
|
284 | (4) |
|
Reduction of Propagators to Single Time Functions |
|
|
288 | (3) |
|
The Self-Energy in Different Approximations |
|
|
291 | (5) |
|
|
293 | (1) |
|
The Screened Hartree-Fock Approximation |
|
|
294 | (2) |
|
|
296 | (8) |
|
Separation of the Intraband and the Interband Susceptibility |
|
|
297 | (1) |
|
The Screened Interaction in Random Phase Approximation |
|
|
298 | (6) |
|
The Second-Order Born Approximation |
|
|
304 | (6) |
|
|
310 | (3) |
|
The Electron-Phonon Interaction |
|
|
313 | (46) |
|
The Phonon-Induced Interaction |
|
|
314 | (3) |
|
The Phonon Green's Function |
|
|
317 | (6) |
|
Eigenmodes of Lattice Vibrations |
|
|
317 | (4) |
|
Green's Function Representation of the Density-Density Correlation Function |
|
|
321 | (2) |
|
Electron-Phonon Coupling in the Long-Wavelength Limit |
|
|
323 | (7) |
|
Coupling to Longitudinal Optical Phonons |
|
|
325 | (3) |
|
Coupling to Acoustic Phonons |
|
|
328 | (2) |
|
|
330 | (17) |
|
|
331 | (5) |
|
Dephasing Induced by Phonons |
|
|
336 | (11) |
|
|
347 | (9) |
|
Renormalization of Phonons |
|
|
347 | (2) |
|
Kinetic Equation for the Phonon Green's Function |
|
|
349 | (7) |
|
|
356 | (3) |
|
Scattering and Screening Processes |
|
|
359 | (28) |
|
Carrier-Phonon Scattering |
|
|
360 | (9) |
|
|
361 | (4) |
|
Four-Wave-Mixing Experiments |
|
|
365 | (3) |
|
|
368 | (1) |
|
Carrier-Carrier Scattering |
|
|
369 | (13) |
|
The Limit of Quasi-Equilibrium |
|
|
378 | (4) |
|
Scattering in the Presence of Bound States |
|
|
382 | (3) |
|
Exciton-Phonon Scattering |
|
|
382 | (1) |
|
Exciton-Exciton versus Exciton-Electron Scattering |
|
|
383 | (2) |
|
|
385 | (2) |
|
|
387 | (28) |
|
|
387 | (2) |
|
|
389 | (15) |
|
The Semiconductor Bloch Equations in a Cavity |
|
|
389 | (4) |
|
The Standard Rate Equations |
|
|
393 | (3) |
|
|
396 | (6) |
|
|
402 | (2) |
|
|
404 | (9) |
|
|
404 | (3) |
|
|
407 | (2) |
|
The Semiconductor Laser Linewidth |
|
|
409 | (4) |
|
|
413 | (2) |
|
|
415 | (14) |
|
Transport Coefficients (Without Magnetic Field) |
|
|
417 | (3) |
|
|
419 | (1) |
|
|
419 | (1) |
|
|
420 | (1) |
|
Transport Coefficients (with Magnetic Field) |
|
|
420 | (4) |
|
Hall Effect and Hall Resistance |
|
|
422 | (2) |
|
Towards Ballistic Electrons: The Hot-Electron Transistor |
|
|
424 | (2) |
|
|
426 | (3) |
|
Electric Fields in Mesoscopic Systems |
|
|
429 | (24) |
|
|
429 | (14) |
|
|
431 | (4) |
|
|
435 | (4) |
|
Coulomb Blockade and the SET Transistor |
|
|
439 | (4) |
|
|
443 | (7) |
|
Boundary Conditions and Discretization |
|
|
445 | (2) |
|
|
447 | (1) |
|
|
448 | (1) |
|
|
449 | (1) |
|
|
450 | (3) |
|
Electric and Magnetic Fields in Mesoscopic Systems |
|
|
453 | (24) |
|
The Integer Quantum Hall Effect |
|
|
453 | (2) |
|
Edge Channels and the Landauer-Buttiker Multiprobe Formula |
|
|
455 | (7) |
|
|
456 | (6) |
|
Microscopic Derivation of the Landauer-Buttiker Formula |
|
|
462 | (6) |
|
|
462 | (4) |
|
The Multiprobe Landauer-Buttiker Formula |
|
|
466 | (2) |
|
The Fractional Quantum Hall Effect |
|
|
468 | (2) |
|
Magnetotransport Through Dot or Antidot-Lattices |
|
|
470 | (5) |
|
|
475 | (2) |
References |
|
477 | (14) |
Index |
|
491 | |