Quantum processes in semiconductors:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2013
|
| Ausgabe: | 5. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XVIII, 430 S. graph. Darst. |
| ISBN: | 9780199677214 9780199677221 |
Internformat
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| 245 | 1 | 0 | |a Quantum processes in semiconductors |c B. K. Ridley |
| 250 | |a 5. ed. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2013 | |
| 300 | |a XVIII, 430 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026203030&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
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Datensatz im Suchindex
| _version_ | 1811720427800625152 |
|---|---|
| adam_text |
Contents
Band
structure
of semiconductors
1
1.1.
The crystal Hamiltonian
1
1.2.
Adiabatic approximation
1
1.3.
Phonons
2
1.4.
The one-electron approximation
3
1.5.
В
loch functions
4
1.6.
Nearly-free-electron model
6
1.6.1.
Group theory notation
8
1.7.
Energy gaps
10
1.8.
Spin—orbit coupling and orbital characteristics
12
1.9.
Band structures
14
1.10.
Chemical trends
18
1.11.
к
·
ρ
perturbation and effective mass
22
1.11.1.
Oscillator strengths
27
1.12.
Temperature dependence of energy gaps
28
1.13.
Deformation potentials
30
1.14.
Alloys
34
References
35
2
Energy levels
36
2.1.
The effective-mass approximation
36
2.2.
Electron dynamics
39
2.3.
Zener-Bloch oscillations
41
2.4.
Landau levels
44
2.5.
Plasma oscillations
48
2.6.
Excitons
49
2.7.
Hydrogenic impurities
51
2.8.
Hydrogen molecule centres
56
2.9.
Core effects
57
2.10.
Deep-level impurities
59
2.11.
Scattering states
64
2.12.
Impurity bands
64
References
68
Lattice scattering
69
3.1.
General features
69
3.2.
Energy and momentum conservation
73
3.2.1.
Spherical parabolic band
73
3.2.1.1.
Absorption
73
3.2.1.2.
Emission
75
Contents
3.2.2.
Spherical non-parabolic band
77
3.2.3.
Ellipsoidal parabolic bands
78
3.2.4.
Equivalent valleys
78
3.2.5.
Non-equivalent valleys
79
3.3.
Acoustic phonon scattering
79
3.3.1.
Spherical band: equipartition
81
3.3.2.
Spherical band: zero-point scattering
83
3.3.3.
Spheroidal parabolic bands
84
3.3.4.
Momentum and energy relaxation
87
3.4.
Optical phonon scattering
89
3.4.1.
Inter-valley scattering
92
3.4.2.
First-order processes
93
3.5.
Polar optical mode scattering
95
3.5.1.
The effective charge
98
3.5.2.
Energy and momentum relaxation
99
3.6.
Piezoelectric scattering
101
3.7.
Scattering-induced electron mass
106
3.8.
Mobilities
108
3.9.
Appendix: Acoustic waves in the diamond lattice
112
References
115
Impurity scattering
116
4.1.
General features
116
4.2.
Charged-impurity scattering
119
4.2.1.
Conwell-Weisskopf approximation
119
4.2.2.
Brooks-Herring approach
121
4.2.3.
Uncertainty broadening
124
4.2.4.
Statistical screening
126
4.3.
Neutral-impurity scattering
129
4.3.1.
Hydrogenic models
129
4.3.2.
Square-well models
130
4.3.3.
Sclar's formula
132
4.3.4.
Resonance scattering
133
4.3.5.
Statistical screening
136
4.4.
Central-cell contribution to charged-
impurity scattering
137
4.5.
Dipole
scattering
144
4.6.
Electron—hole scattering
145
4.7.
Electron-electron scattering
147
4.8.
Mobilities
150
4.9.
Appendix: Debye screening length
151
4.10.
Appendix: Average separation of impurities
154
4.11.
Appendix: Alloy scattering
155
References
156
Radiative transitions
157
5.1.
Transition rate
157
5.1.1.
Local field correction
160
5.1.2.
Photon drag
160
Contents xv
5.2. Photo-ionization
and radiative capture
cross-sections
161
5.3.
Wavefunctions
162
5.4.
Direct
interband
transitions
165
5.4.1.
Excitonic absorption
168
5.5.
Photo-deionization of a hydrogenic acceptor
169
5.6.
Photo-ionization of a hydrogenic donor
171
5.7.
Photo-ionization of quantum-defect impurities
173
5.8.
Photo-ionization of deep-level impurities
178
5.9.
Summary of photo-ionization cross-sections
180
5.10.
Indirect transitions
181
5.11.
Indirect interband transitions
183
5.12.
Free-carrier absorption
186
5.12.1.
Energy and momentum
189
5.12.2.
Scattering matrix elements
189
5.12.3.
Electron scattering by photons
191
5.12.4.
Absorption coefficients
193
5.13.
Free-carrier scattering of light
Í95
5.13.1.
Scattering of laser light
199
5.14.
Appendix: Justification of effective-mass
approximation in light scattering
201
References
202
6
Non-rad
¡ative
processes
203
6.1.
Electron-lattice coupling
203
6.2.
The configuration coordinate diagram
205
6.2.1.
Semi-classical thermal broadening
207
6.3.
Semi-classical thermal generation rate
208
6.4.
Thermal broadening of radiative transitions
211
6.5.
Thermal generation and capture rates
217
6.6.
Electron-lattice coupling strength
222
6.7.
Selection rules for phonon-impurity coupling
228
6.8.
Phonon-cascade capture
231
6.9.
The Auger effect
233
6.10.
Impact ionization
240
6
Л
1.
Appendix: The multiphonon matrix element
242
References
244
7
Quantum processes in a magnetic field
246
246
247
247
249
249
251
251
7.3.
Collision-induced current
252
7.3.1.
Expression for the scattering rate in
the extreme quantum limit
252
7.1.
Introduction
7.2.
Collision-free situation
7.2.1.
Quantum states in
a magnetic field
7.2.2.
Magnitudes
7.2.3.
Density of states
7.2.4.
Spin
7.2.5.
Phenomenological
quantities
Contents
7.3.2. Energy
and momentum conservation
254
7.3.3.
Integrations
255
7.3.4. General
expression for the drift velocity
256
7.3.5.
Diffusion
259
7.4.
Scattering mechanisms
259
7.4.1.
Acoustic phonon scattering
259
7.4.2.
Piezoelectric scattering
262
7.4.3.
Charged-impurity scattering
263
7.4.4.
Statistical weighting for inelastic
phonon collisions
266
7.5.
Transverse Shubnikov-de Haas oscillations
267
7.5.1.
Magnetoconductivity in the
presence of many Landau levels
267
7.5.2.
The oscillatory component
270
7.5.3.
Collision broadening
271
7.5.4.
Thermal broadening
272
7.5.5.
Spin-splitting
272
7.5.6.
Shubnikov—
de Haas
formula
273
7.6.
Longitudinal Shubnikov-de Haas oscillations
274
7.7.
Magnetophonon oscillations
276
References
280
8
Scattering in a degenerate gas
282
8.1.
General equations
282
8.2.
Elastic collisions
284
8.3.
Acoustic phonon scattering
284
8.3.1.
Low-temperature limit
287
8.3.2.
High-temperature limit
288
8.3.3.
Strong screening
288
8.4.
Energy relaxation time
290
References
291
Dynamic screening
292
9.1.
Introduction
292
9.2.
Polar optical modes
293
9.3.
Plasma modes
295
9.4.
Coupled modes
296
9.5.
The Lindhard dielectric function
302
9.6.
Fluctuations
305
9.7.
Screening regimes
308
References
308
IO
Phonon processes
310
10.1.
Introduction
310
10.2.
Three-phonon processes
312
10.2.1.
Coupling constants
312
10.2.2.
Selection rules for acoustic phonons
313
Contents
χνίί
10.2.3. Rates
for LA modes
via normal processes
314
10.2.4.
Rates for
TA
modes via normal processes
317
10.2.5.
Rates for umklapp processes
318
10.2.6.
Higher-order processes
319
10.2.7.
Lifetime of optical phonons
320
10.3.
Scattering by imperfections
321
10.4.
Scattering by charged impurities
323
10.5.
Scattering by electrons
325
10.6.
Other scattering mechanisms
326
References
327
11
Quantum transport
328
11.1.
The density matrix
328
11.2.
Screening
330
11.3.
The two-level system
333
11.4.
Fermi's Golden Rule
334
11.5.
Wannier—Stark states
336
11.6.
The intracollisional field effect
337
11.7.
The semi-classical approximation
338
References
338
12
Semi-classical transport
339
12.1.
The Boltzmann equation
339
12.2.
Weak electric fields
344
12.3.
Electron-electron scattering
347
12.4.
Hot electrons
350
12.5.
Hot electron distribution functions
353
12.5.1.
Scattering by non-polar acoustic phonons
355
12.5.2.
Scattering by non-polar optical modes
357
12.5.3.
The drifted Maxwellian
358
References
362
13
Space-charge waves
364
13.1.
Phenomenological equations
364
13.2.
Space-charge and acoustoelectric waves
366
13.3.
Parametric processes
370
13.4.
Domains and filaments
371
13.5.
Recombination waves
375
References
378
14
Hot phonons
379
14.1.
Introduction
379
14.2.
Rate equations
380
14.3.
Lifetime
381
14.4.
Dependence on lattice temperature
382
14.5.
Coupled modes
383
Contents
14.6.
Lifetime dispersion
387
14.7.
Migration
390
14.8.
Role of daughter modes
390
References
393
15
Spin processes
394
15.1.
Introduction
394
15.2.
Band structure
395
15.3.
Valence band eigenfunctions
398
15.4.
Conduction band eigenfunctions
399
15.5.
The Elliot-Yafet process
401
15.6.
The D'yakonov-Perel process
404
15.7.
The Rashba mechanism
406
15.8.
The Bir-Aranov-Pikus mechanism
407
15.9.
Ну
perfine
coupling
409
15.10.
Summary
409
15.1 ].
Optical generation
410
References
412
16
Surfaces and interfaces
413
16.1.
Introduction
413
16.2.
The Kronig-Penney model
414
16.3.
Taram
states
415
16.4.
Virtual gap states
416
16.5.
The dielectric band gap
418
16.6.
The Schottky contact
419
References
423
Author Index
424
Subject Index
427
This book sets out the fundamental quantum processes that are important in the physics and
technology of semiconductors. The fifth edition includes new chapters that expand the coverage
of semiconductor physics relevant to its accompanying technology. One of the problems encountered
m
high-power transistors is the excessive production of phonons, and the first new chapter examines
the hot-phonon phenomenon and the lifetime of polar optical phonons in the nitrides. In the burgeon¬
ing field of spintronics a crucial parameter is the lifetime of a spin-polarized electron gas, and this is
treated in detail in the second of the new chapters. The third new chapter moves from the treatment
of bulk properties to the unavoidable effects of the spatial limitation of the semiconductor, and
to the influence of surface states and the pinning of the Fermi level.
As with previous editions, the text restricts its attention to bulk semiconductors. The account
progresses 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, and acoustoelectnc and
recombination instabilities. Besides being a useful reference for workers in the field, this book
will be a valuable text for graduate courses.
is Professor Emeritus of Physics at the University of Essex.
This book provides a detailed description of several physical phenomena in semiconductors.
Each chapter contains the derivation of fundamental equations, the discussion of key physics
concepts, a clear graphical representation of phenomena as well as tables with useful semi¬
conductor parameters. The fifth edition includes three additional chapters focussing on topical
subjects ranging from hot phonons to spin relaxation and the physics of interfaces. This repre¬
sents an important expansion of the book that will be of interest to students and researchers
involvea
m
the theoretical and experimental studies, and applications of semiconductor
materials and devices.'
Also Published by Oxford University Press
Steven H. Simon
Vladimir Dobrosavljević,
Nándim
Trivedi, and James M.
Valles,
Jr.
Mark Dylcman
Stuart Lindsay
ISBN
Э78-0-19-967721-4
OXFORD
UNIVERSITY PRESS
780199
677214
www-oup-com |
| any_adam_object | 1 |
| author | Ridley, B. K. 1931-2024 |
| author_GND | (DE-588)172331641 |
| author_facet | Ridley, B. K. 1931-2024 |
| author_role | aut |
| author_sort | Ridley, B. K. 1931-2024 |
| author_variant | b k r bk bkr |
| building | Verbundindex |
| bvnumber | BV041228614 |
| classification_rvk | UP 2800 |
| classification_tum | PHY 686f |
| ctrlnum | (OCoLC)859377017 (DE-599)BVBBV041228614 |
| discipline | Physik |
| edition | 5. ed. |
| format | Book |
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| id | DE-604.BV041228614 |
| illustrated | Illustrated |
| indexdate | 2024-10-01T14:00:40Z |
| institution | BVB |
| isbn | 9780199677214 9780199677221 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026203030 |
| oclc_num | 859377017 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 DE-19 DE-BY-UBM DE-11 DE-83 DE-355 DE-BY-UBR DE-29T DE-20 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-19 DE-BY-UBM DE-11 DE-83 DE-355 DE-BY-UBR DE-29T DE-20 |
| physical | XVIII, 430 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | Ridley, B. K. 1931-2024 Verfasser (DE-588)172331641 aut Quantum processes in semiconductors B. K. Ridley 5. ed. Oxford [u.a.] Oxford Univ. Press 2013 XVIII, 430 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Halbleiter (DE-588)4022993-2 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Halbleiterphysik (DE-588)4113829-6 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Halbleiter (DE-588)4022993-2 s Quantenmechanik (DE-588)4047989-4 s DE-604 Halbleiterphysik (DE-588)4113829-6 s Quantentheorie (DE-588)4047992-4 s 1\p DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026203030&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026203030&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ridley, B. K. 1931-2024 Quantum processes in semiconductors Halbleiter (DE-588)4022993-2 gnd Quantentheorie (DE-588)4047992-4 gnd Halbleiterphysik (DE-588)4113829-6 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4022993-2 (DE-588)4047992-4 (DE-588)4113829-6 (DE-588)4047989-4 |
| title | Quantum processes in semiconductors |
| title_auth | Quantum processes in semiconductors |
| title_exact_search | Quantum processes in semiconductors |
| title_full | Quantum processes in semiconductors B. K. Ridley |
| title_fullStr | Quantum processes in semiconductors B. K. Ridley |
| title_full_unstemmed | Quantum processes in semiconductors B. K. Ridley |
| title_short | Quantum processes in semiconductors |
| title_sort | quantum processes in semiconductors |
| topic | Halbleiter (DE-588)4022993-2 gnd Quantentheorie (DE-588)4047992-4 gnd Halbleiterphysik (DE-588)4113829-6 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Halbleiter Quantentheorie Halbleiterphysik Quantenmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026203030&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026203030&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ridleybk quantumprocessesinsemiconductors |