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Front Cover |
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Carrier Scattering in Metals and Semiconductors |
4 |
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Copyright Page |
5 |
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Table of Contents |
14 |
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Preface to the series |
8 |
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Preface |
10 |
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Chapter 1. Quasi-Particles in an Ideal Crystal |
20 |
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1.1. Band structure |
20 |
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1.2. Quasi-particles |
31 |
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1.3. Band structure of cubic semiconductors at the center of the Brillouin zone |
41 |
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Chapter 2. Scattering |
54 |
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2.1. Scattering mechanisms |
54 |
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2.2. Transition probability and the principle of detailed balance |
57 |
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2.3. Scattering cross section |
61 |
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2.4. Relaxation and fluctuation characteristics of a test particle |
65 |
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2.5. The relaxation time approximation. The Boltzmann integral as a current in k-space |
72 |
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2.6. The method of correlators |
75 |
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Chapter 3. Electron–phonon interaction |
82 |
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3.1. Matrix element of a one-phonon process |
82 |
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3.2. The macrofield and microfield as two causes of scattering |
86 |
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3.3. Screening |
89 |
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3.4. Deformation potential |
93 |
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3.5. Macrofields |
98 |
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3.6. Matrix elements for scattering by long-wavelength phonons |
102 |
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3.7. Scattering by phonons in the pseudopotential method |
103 |
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Chapter 4. Scattering by long-wavelength phonons in a simple band |
106 |
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4.1. Matrix elements |
106 |
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4.2. Kinematics of scattering |
110 |
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4.3. Relaxation times in a Boltzmann gas |
117 |
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4.4 Relaxation times in a Fermi gas |
122 |
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4.5. Fluctuation–dissipation theorem for quasi-elastic scattering |
126 |
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Chapter 5. Scattering by phonons in an anisotropic electron band |
128 |
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5.1. Deformation potential scattering in an ellipsoidal valley |
128 |
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5.2. Intervalley scattering |
137 |
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5.3. Intervalley scattering experiments |
143 |
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5.4. Diffusion on the Fermi surface |
147 |
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Chapter 6. Electron–electron scattering and the electron temperature |
151 |
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6.1. Probability of electron–electron scattering |
151 |
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6.2. Characteristics of test electron scattering by an electron gas |
153 |
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6.3. Effect of electron–electron scattering on the distribution function |
162 |
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6.4. Electron temperature relaxation |
169 |
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6.5. Effect of electron–electron scattering on the oscillating photoresponse |
177 |
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6.6. Electron temperature relaxation time measurement |
180 |
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Chapter 7. Relaxation characteristics of kinetic effects |
187 |
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7.1. Distribution function perturbation in various types of experiments |
187 |
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7.2. Averaging over energies |
194 |
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7.3. Mobility in semiconductors |
198 |
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7.4. Umklapp collisions |
201 |
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7.5. Relaxation upon mutual scattering of various types of carriers |
207 |
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7.6. Temperature dependences of kinetic effects in metals and semimetals |
212 |
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Chapter 8. Two-phonon processes |
220 |
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8.1. Probabilities of two-phonon transitions |
220 |
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8.2. Real and virtual transitions. Compound scattering |
224 |
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8.3. Interaction with short-wavelength phonons |
231 |
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Chapter 9. Scattering by impurities |
234 |
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9.1. Neutral impurities in semiconductors |
234 |
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9.2. Charged impurities in semiconductors |
237 |
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9.3. Partial phase shifts in metals |
244 |
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9.4. Resonant scattering by virtual d-levels |
252 |
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Chapter 10. Scattering by dislocations |
260 |
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10.1. Scattering diameter |
260 |
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10.2. Experimental investigations |
266 |
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Chapter 11. Scattering by a crystal surface |
272 |
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11.1. General definitions |
272 |
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11.2. Coherent scattering |
273 |
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11.3. Observation of coherent scattering |
281 |
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11.4. Incoherent scattering |
288 |
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Chapter 12. Scattering in a degenerate band and in a multiband model |
294 |
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12.1. Matrix elements for quasi-particle scattering by phonons |
294 |
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12.2. Overlap factors |
298 |
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12.3. The isotropic model for hole scattering by phonons in a degenerate band |
301 |
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12.4. Cyclotron resonance of hot holes in germanium |
306 |
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12.5. Scattering by the deformation potential of acoustic phonons in the multiband model |
310 |
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12.6. Interband transitions with LO-phonon emission |
316 |
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12.7. Electron scattering by holes |
320 |
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12.8. Scattering by ionized impurities |
322 |
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Chapter 13. Spin-flip induced by spin–orbit interaction |
325 |
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13.1. Spin-flip time |
325 |
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13.2. Scattering by nonmagnetic impurities |
327 |
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13.3. Scattering by phonons |
335 |
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13.4. Precession mechanism of spin relaxation |
338 |
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13.5. Spin relaxation in metals – experimental data |
340 |
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13.6. Spin relaxation in semiconductors – experimental data |
349 |
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13.7. Spin-flip at a surface |
357 |
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Chapter 14. The effect of a magnetic field on scattering |
359 |
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14.1. States in a magnetic field and the description of scattering |
359 |
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14.2. The effect of Larmor motion on relaxation |
364 |
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14.3. Scattering by acoustic phonons in an ultraquantum field – Boltzmann gas |
372 |
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14.4. Scattering by phonons in a quantized Fermi gas |
380 |
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14.5. Resonance inelastic scattering |
387 |
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14.6. Static imperfections |
391 |
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14.7. Electron–electron scattering in the ultraquantum limit |
395 |
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14.8. Spin-flip is a quantizing magnetic field – Kane model |
402 |
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Chapter 15. Exchange and spin interaction |
409 |
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15.1. Interaction between a conduction electron and a magnetic atom |
409 |
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15.2. Scattering by a spin lattice |
412 |
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15.3. Magnetic impurities |
424 |
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15.4. Skew scattering |
428 |
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15.5. Electron spin relaxation in exchange interaction with holes |
436 |
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Appendix: Parameters of certain semiconductor materials |
445 |
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References |
448 |
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Author index |
456 |
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Subject index |
462 |
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Materials index |
466 |
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Cumulative index |
470 |
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