The physics of low-dimensional semiconductors: an introduction
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2006
|
| Ausgabe: | 6. print. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016159957&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XVIII, 438 S. Ill., graph. Darst. |
| ISBN: | 052148491X 0521481481 9780521481489 9780521484916 |
Internformat
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| 245 | 1 | 0 | |a The physics of low-dimensional semiconductors |b an introduction |c John H. Davies |
| 250 | |a 6. print. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2006 | |
| 300 | |a XVIII, 438 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0204 PHY 697f 2008 A 8605(1,2006) 0303 PHY 697f 2009 L 184(1,2006) |
|---|---|
| DE-BY-TUM_katkey | 1649666 |
| DE-BY-TUM_location | 02 03 |
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| _version_ | 1821934314409951232 |
| adam_text | CONTENTS
Preface page
xiii
Introduction
xv
Ί
FOUNDATIONS
1
1.1
Wave Mechanics and the
Schrödinger
Equation
1
1.2
Free Particles
3
1.3
Bound Particles: Quantum Well
4
1.4
Charge and Current Densities
9
1.5
Operators and Measurement
13
1.6
Mathematical Properties of Eigenstates
20
1.7
Counting States
22
1.8
Filling States: The Occupation Function
30
Further Reading
40
Exercises
41
S
ELECTRONS AND PHONONS IN CRYSTALS
45
2.1
Band Structure in One Dimension
45
2.2
Motion of Electrons in Bands
50
2.3
Density of States
54
2.4
Band Structure in Two and Three Dimensions
55
2.5
Crystal Structure of the Common Semiconductors
57
2.6
Band Structure of the Common Semiconductors
61
2.7
Optical Measurement of Band Gaps
69
2.8
Phonons
70
Further Reading
76
Exercises
76
vili
CONTENTS
3 HETEROSTRUCTURES 80
3.1 General
Properties of Heterostructures
80
3.2
Growth of Heterostructures
82
3.3
Band Engineering
85
3.4
Layered Structures: Quantum Wells and Barriers
88
3.5
Doped Heterostructures
92
3.6
Strained Layers
96
3.7
Silicon-Germanium Heterostructures
100
3.8
Wires and Dots
102
3.9
Optical Confinement
105
3.10
Effective-Mass Approximation
107
3.11
Effective-Mass Theory in Heterostructures
111
Further Reading
114
Exercises
114
4
QUANTUM WELLS AND LOW-DIMENSIONAL SYSTEMS
118
4.1
Infinitely Deep Square Well
118
4.2
Square Well of Finite Depth
119
4.3
Parabolic Well
125
4.4
Triangular Well
128
4.5
Low-Dimensional Systems
130
4.6
Occupation of Subbands
133
4.7
Two- and Three-Dimensional Potential Wells
135
4.8
Further Confinement Beyond Two Dimensions
140
4.9
Quantum Wells in Heterostructures
142
Further Reading
146
Exercises
146
5
TUNNELLING TRANSPORT
150
5.1
Potential Step
150
5.2
r-Matrices
153
5.3
More on
Г
-Matrices
158
5.4
Current and Conductance
162
5.5
Resonant Tunnelling
167
CONTENTS ix
5.6 Superlattices and Minibands 177
5.7
Coherent
Transport
with Many
Channels 183
5.8
Tunnelling
in Heterostructures 195
5.9
What Has Been Brushed Under the Carpet?
199
Further-Reading
200
Exercises
201
6
ELECTRIC AND MAGNETIC FIELDS
206
6.1
The
Schrödinger
Equation with Electric and
Magnetic Fields
206
6.2
Uniform Electric Field
208
6.3
Conductivity and Resistivity Tensors
216
6.4
Uniform Magnetic Field
219
6.5
Magnetic Field in a Narrow Channel
233
6.6
The Quantum Hall Effect
238
Further Reading
245
Exercises
246
7
APPROXIMATE METHODS
249
7.1
The Matrix Formulation of Quantum Mechanics
249
7.2
Time-Independent Perturbation Theory
252
7.3
k p
Theory
261
7.4
WKB Theory
263
7.5
Variational Method
270
7.6
Degenerate Perturbation Theory
273
7.7
Band Structure: Tight Binding
275
7.8
Band Structure: Nearly Free Electrons
280
Further Reading
284
Exercises
284
S
SCATTERING RATES: THE GOLDEN RULE
290
8.1
Golden Rule for Static Potentials
290
8.2
Impurity Scattering
295
8.3
Golden Rule for Oscillating Potentials
301
8.4
Phonon Scattering
302
CONTENTS
8.5
Optical
Absorption 308
8.6
Interband
Absorption 313
8.7 Absorption in
a
Quantum Well 316
8.8
Diagrams and the Self-Energy
321
Further Reading
324
Exercises
324
Э
THE TWO-DIMENSIONAL ELECTRON GAS
329
9.1
Band Diagram of Modulation-Doped Layers
329
9.2
Beyond the Simplest Model
336
9.3
Electronic Structure of a 2DEG
342
9.4
Screening by an Electron Gas
349
9.5
Scattering by Remote Impurities
356
9.6
Other Scattering Mechanisms
362
Further Reading
365
Exercises
366
1O OPTICAL PROPERTIES OF QUANTUM WELLS
37
1
10.1
General Theory
371
10.2
Valence-Band Structure: The Kane Model
377
10.3
Bands in a Quantum Well
384
10.4
Interband
Transitions in a Quantum Well
387
10.5
Intersubband Transitions in a Quantum Well
393
10.6
Optical Gain and Lasers
395
10.7
Excitons
397
Further Reading
406
Exercises
406
Al
TABLE OF PHYSICAL CONSTANTS
409
AS PROPERTIES OF IMPORTANT SEMICONDUCTORS
410
A3
PROPERTIES OF GaAs-AIAs ALLOYS
AT ROOM TEMPERATURE
412
A4
HERMITE S EQUATION: HARMONIC OSCILLATOR
413
CONTENTS xi
A5
AIRY FUNCTIONS:
TRIANGULAR
WELL
415
АЄ
KRAMERS-KRONIG RELATIONS AND
RESPONSE FUNCTIONS
417
A6.1 Derivation of the Kramers-Kronig Relations
417
A6.2 Model Response Functions
419
Bibliography
423
Index
427
|
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| illustrated | Illustrated |
| indexdate | 2024-12-20T13:06:09Z |
| institution | BVB |
| isbn | 052148491X 0521481481 9780521481489 9780521484916 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016159957 |
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| physical | XVIII, 438 S. Ill., graph. Darst. |
| publishDate | 2006 |
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| publisher | Cambridge Univ. Press |
| record_format | marc |
| spellingShingle | Davies, John H. 1956- The physics of low-dimensional semiconductors an introduction Niederdimensionaler Halbleiter (DE-588)4482656-4 gnd |
| subject_GND | (DE-588)4482656-4 (DE-588)4123623-3 |
| title | The physics of low-dimensional semiconductors an introduction |
| title_auth | The physics of low-dimensional semiconductors an introduction |
| title_exact_search | The physics of low-dimensional semiconductors an introduction |
| title_full | The physics of low-dimensional semiconductors an introduction John H. Davies |
| title_fullStr | The physics of low-dimensional semiconductors an introduction John H. Davies |
| title_full_unstemmed | The physics of low-dimensional semiconductors an introduction John H. Davies |
| title_short | The physics of low-dimensional semiconductors |
| title_sort | the physics of low dimensional semiconductors an introduction |
| title_sub | an introduction |
| topic | Niederdimensionaler Halbleiter (DE-588)4482656-4 gnd |
| topic_facet | Niederdimensionaler Halbleiter Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016159957&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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