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Quantum Processes in Semiconductors,9780198505792
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Quantum Processes in Semiconductors

by
Edition:
4th
ISBN13:

9780198505792

ISBN10:
0198505795
Format:
Paperback
Pub. Date:
3/9/2000
Publisher(s):
Oxford University Press
List Price: $144.00
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Summary

This book presents the fundamental quantum processes involved in the physics and technology of semiconductors. Its relatively informal style makes it an ideal introduction for graduate courses as well as a reliable reference for researchers in the field. This edition has been expanded to include new chapters on quantum transport, semi-classical transport and space-charge waves, extending the discussion to statistical, many-particle behavior in transport phenomena. The author has also taken the opportunity to update other sections. As with previous editions the text restricts its attention to bulk semiconductors. It traces the path from quantum processes describable by density matrices, through the semi-classical Boltzmann equation and its solutions, to the drift-diffusion description of space-charge waves, the latter appearing in the contexts of negative differential resistance, acoustoelectric and recombination instabilities.

Author Biography

Brian K. Ridley FRS is Professor of Physics at the University of Essex

Table of Contents

Band Structure of Semiconductors
1(43)
The crystal Hamiltonian
1(1)
Adiabatic approximation
1(1)
Phonons
2(1)
The one-electron approximation
3(1)
Bloch functions
4(2)
Nearly-free-electron model
6(4)
Group theory notation
9(1)
Energy gaps
10(3)
Spin-orbit coupling and orbital characteristics
13(3)
Band structures
16(5)
Chemical trends
21(7)
k.p Perturbation and effective mass
28(7)
Oscillator strengths
34(1)
Temperature dependence of energy gaps
35(3)
Deformation potentials
38(3)
Alloys
41(3)
Energy Levels
44(38)
The effective-mass approximation
44(3)
Electron dynamics
47(3)
Zener-Bloch oscillations
50(3)
Landau levels
53(5)
Plasma oscillations
58(1)
Excitons
59(2)
Hydrogenic impurities
61(6)
Hydrogen molecule centres
67(2)
Core effects
69(2)
Deep-level impurities
71(4)
Scattering states
75(1)
Impurity bands
75(7)
Lattice Scattering
82(56)
General features
82(4)
Energy and momentum conservation
86(8)
Spherical parabolic band
86(6)
Spherical non-parabolic band
92(1)
Ellipsoidal parabolic band
93(1)
Equivalent valleys
93(1)
Non-equivalent valleys
94(1)
Acoustic phonon scattering
94(12)
Spherical bands: equipartition
97(2)
Spherical band: zero-point scattering
99(1)
Spheroidal parabolic bands
100(3)
Momentum and energy relaxation
103(3)
Optical phonon scattering
106(7)
Inter-valley scattering
110(1)
First-order processes
110(3)
Polar optical mode scattering
113(6)
The effective charge
116(1)
Energy and momentum relaxation
117(2)
Piezoelectric scattering
119(6)
Scattering-induced electron mass
125(3)
Mobilities
128(2)
Appendix: Acoustic waves in the diamond lattice
130(8)
Impurity Scattering
138(46)
General features
138(3)
Charged-impurity scattering
141(11)
Conwell-Weisskopf approximation
142(1)
Brooks-Herring approach
143(4)
Uncertainty broadening
147(2)
Statistical screening
149(3)
Neutral-impurity scattering
152(9)
Hydrogenic models
152(2)
Square-well models
154(2)
Sclar's formula
156(1)
Resonance scattering
156(3)
Statistical screening
159(2)
Central-cell contribution to charged-impurity scattering
161(7)
Dipole scattering
168(3)
Electron-hole scattering
171(2)
Electron-electron scattering
173(3)
Mobilities
176(3)
Appendix: Debye screening length
179(2)
Appendix: Average separation of impurities
181(1)
Appendix: Alloy scattering
181(3)
Radiative Transitions
184(51)
Transition rate
184(4)
Local field correction
187(1)
Photon drag
188(1)
Photo-ionization and radiative capture cross-section
188(2)
Wavefunctions
190(3)
Direct interband transitions
193(5)
Excitonic absorption
197(1)
Photo-deionization of a hydrogenic acceptor
198(2)
Photo-ionization of a hydrogenic donor
200(2)
Photo-ionization of quantum-defect impurities
202(6)
Photo-ionization of deep-level impurities
208(2)
Summary of photo-ionization cross-sections
210(1)
Indirect transitions
210(4)
Indirect interband transitions
214(4)
Free-carrier absorption
218(9)
Energy and momentum
220(1)
Scattering matrix elements
221(1)
Electron scattering by photons
222(2)
Absorption coefficients
224(3)
Free-carrier scattering of light
227(6)
Scattering of laser light
231(2)
Appendix: Justification of effective-mass approximation in light scattering
233(2)
Non-Radiative Processes
235(47)
Electron-lattice coupling
235(3)
The configuration co-ordinate diagram
238(3)
Semi-classical thermal broadening
240(1)
Semi-classical thermal generation rate
241(3)
Thermal broadening of radiative transitions
244(8)
Thermal generation and capture rates
252(4)
Electron-lattice coupling strength
256(7)
Selection rules for phonon-impurity coupling
263(2)
Phonon-cascade capture
265(4)
The Auger effect
269(7)
Impact ionization
276(2)
Appendix: The multiphonon matrix element
278(4)
Quantum Processes in a Magnetic Field
282(36)
Introduction
282(1)
Collision-free situation
283(6)
Quantum states in a magnetic field
283(2)
Magnitudes
285(1)
Density of states
286(1)
Spin
287(1)
Phenomenological quantities
288(1)
Collision-induced current
289(7)
Expression for the scattering rate in the extreme quantum limit
289(1)
Energy and momentum conservation
290(2)
Integrations
292(1)
General expression for the drift velocity
293(3)
Diffusion
296(1)
Scattering mechanisms
296(8)
Acoustic phonon scattering
296(3)
Piezoelectric scattering
299(1)
Charged-impurity scattering
300(4)
Transverse Shubnikov-de Haas oscillations
304(6)
Magnetoconductivity in the presence of many Landau levels
304(3)
The oscillatory component
307(1)
Collision broadening
308(1)
Thermal broadening
308(1)
Spin-splitting
309(1)
Shubnikov-de Haas formula
309(1)
Longitudinal Shubnikov-de Haas oscillations
310(3)
Magnetophonon oscillations
313(5)
Scattering in a Degenerate Gas
318(10)
General equations
318(2)
Elastic collisions
320(1)
Acoustic phonon scattering
321(6)
Low-temperature limit
323(1)
High-temperature limit
324(1)
Strong screening
325(2)
Energy relaxation time
327(1)
Dynamic Screening
328(19)
Introduction
328(1)
Polar optical modes
329(2)
Plasma modes
331(1)
Coupled modes
332(7)
The Lindhard dielectric function
339(3)
Fluctuations
342(4)
Screening regimes
346(1)
Phonon Processes
347(35)
Introduction
347(2)
Three-phonon processes
349(11)
Coupling constants
349(1)
Selection rules for acoustic phonons
350(2)
Rates for LA modes via normal processes
352(3)
Rates for TA modes via normal processes
355(1)
Rates for umklapp processes
356(2)
Higher-order processes
358(1)
Lifetime of optical phonons
358(2)
Scattering by imperfections
360(2)
Scattering by charged impurities
362(2)
Scattering by electrons
364(2)
Other scattering mechanisms
366(3)
Quantum Transport
The density matrix
369(3)
Screening
372(3)
The two-level system
375(2)
Fermi's Golden Rule
377(1)
Wannier-Stark states
378(2)
The intracollisional field effect
380(1)
The semi-classical approximation
381(1)
Semi-Classical Transport
382(27)
The Boltzmann equation
382(5)
Weak electric fields
387(4)
Electron-electron scattering
391(3)
Hot electrons
394(4)
Hot-electron distribution functions
398(11)
Scattering by non-polar acoustic phonons
400(2)
Scattering by non-polar optical modes
402(1)
The drifted Maxwellian
403(6)
Space-Charge Waves
409(18)
Phenomenological equations
409(3)
Space-charge and acoustoelectric waves
412(4)
Parametric processes
416(1)
Domains and filaments
417(4)
Recombination waves
421(6)
Author Index 427(4)
Subject Index 431


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