Physics of electronic materials: principles and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom
Cambridge University Press
2017
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | xii, 438 Seiten Diagramme |
| ISBN: | 9781107084940 |
Internformat
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Datensatz im Suchindex
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| adam_text | Contents
A
Preface page xi
Quantum Mechanics 1
1.1 Hamiltonian 2
1.2 Free Propagator 3
1.3 Probability Current 7
1.4 Stationary States and Energy 8
1.5 Energy Eigenfunctions 11
1.5.1 Orthogonality 11
1.5.2 Completeness 12
1.6 Summary 14
Quantum Tunneling 15
2.1 Wave Packet Analysis 15
2.1.1 Wave Packet Construction 15
2.1.2 Wave Packets in Free Regions 17
2.1.3 Wave Packet in Barrier Region 19
2.1.4 Asymptotic Wave Packets 20
2.2 Scattering Scenario 21
2.3 Tunneling Probability 22
2.4 Stationary Limit 25
2.5 Square Barrier 26
2.5.1 Transfer Matrix 27
2.5.2 Square Barrier Transfer Matrix 29
2.6 Transmission Coefficient 31
2.7 Square Barrier 33
2.8 Double Barrier 36
2.9 Summary 40
Standard Metal Model 42
3.1 Sommerfeld Model 42
3.1.1 Energy States 42
3.1.2 Ground State 45
3.1.3 Density of States 46
3.2 Confinement and Contact Potential 50
V
Contents
3.3 Tunnel Junction 52
3.4 Fermi-Dirac Distribution 55
3.5 Tunneling Microscope 58
3.6 Occupation Number Representation 60
3.6.1 Density 62
3.6.2 Current Density 63
3.7 Summary 64
Standard Conductor Model 65
4.1 Gaussian States 65
4.2 Gaussian Many-Body States 66
4.3 Gaussian Ground State 70
4.4 Gaussian Density of States 73
4.5 Equilibrium State 75
4.6 Impurity Atoms and Screening 78
4.6.1 Mean Field Approximation 78
4.6.2 Screened Impurity Potential 80
4.6.3 Electrochemical Equilibration 83
4.7 Wave Packet Dynamics 84
4.8 Drude Transport Theory 85
4.8.1 Drift Velocity 87
4.8.2 Conductivity 89
4.8.3 Shifted Local Fermi Sea 89
4.9 Resistor 92
4.10 Frequency-Dependent Conductivity 93
4.11 Hall Effect 94
4.12 Summary 97
Electric Circuit Theory 98
5.1 Wires and Currents 98
5.2 Resistor 99
5.3 Voltage Divider 102
5.4 Electric Power 103
5.5 Capacitor 104
5.6 Capacitor Discharge 109
5.7 Battery 113
5.8 Inductor 116
5.9 Voltage Oscillator 119
5.10 Damped Oscillator 123
5.11 Real Components 125
5.12 Summary 126
Quantum Wells 128
6.1 Symmetric Well 128
Contents
6.2 Asymmetric Well 134
6.3 Double Well 136
6.4 Chemical Bond 143
6.5 Tunneling Frequency 144
6.6 From Atoms to Solids 145
6.7 Summary 146
Particle in a Periodic Potential 148
7.1 Periodic Potential 148
7.2 Crystal Translations 149
7.3 Crystal Translation Eigenvalues 150
7.4 Conjugation Property 151
7.5 Bloch’s Theorem 153
7.6 Bloch Waves 154
7.7 Band Structure 157
7.8 Bloch Function Properties 160
7.9 Reduced and Repeated Zone Schemes 162
7.10 Energy Band Properties 164
7.11 Completeness of Bloch Functions 167
7.12 Finite Crystal 168
7.13 Orthonormality of Bloch Functions 172
7.14 Metals and Insulators 173
7.15 Summary 176
Bloch Currents 177
8.1 Bloch State Current 177
8.2 Bloch Velocity 179
8.3 Crystal Diffraction 181
8.4 Forced Bloch Particle 182
8.5 Interband Transitions 184
8.6 Transition Rate 185
8.7 Bloch Oscillation 188
8.8 Inert Bands 189
8.9 Bloch Wave Packets 190
8.10 Local Fermi Sea 194
8.11 Bloch Wave Packet Density of States 196
8.12 Equilibrium State 198
8.13 Bloch Wave Packet Dynamics 200
8.14 Summary 202
Crystalline Solids 203
9.1 Mean Field Potential 203
9.2 Direct and Reciprocal Lattices 205
9.3 Bloch Functions 206
211
215
216
218
221
223
228
228
229
229
231
237
238
241
245
245
248
249
249
251
254
258
259
263
266
267
267
270
277
281
281
283
284
284
287
288
292
293
293
297
Contents
9.4 Wigner-Seitz Unit Cell
9.5 Properties of Bloch Functions
9.6 Bloch Current
9.7 Band Structure Properties
9.8 Characteristic Band Edges
9.9 Intrinsic Semiconductor
9.10 Bloch Dynamics
9.11 Summary
Semiconductor Doping
10.1 Donor Impurities
10.2 Impurity States
10.3 Model Consistency
10.4 Holes
10.5 Acceptor Impurities
10.6 Doping Methods
10.7 Carrier Densities
10.8 Summary
Transistors
11.1 The p-n Junction
11.2 Built-in Electric Field
11.3 Biased p-n Junction
11.4 Photovoltaics
11.5 Bipolar Transistor
11.6 Field Effect Transistor
11.7 Summary
Heterostructures
12.1 Molecular Beam Epitaxy
12.2 Envelope Function
12.3 Structure Types
12.4 Band-Gap Engineering
12.5 Modulation Doping
12.6 Summary
Mesoscopic Physics
13.1 Scattering Approach to Conductance
13.2 Resonant Tunnel Diode
13.3 Current Amplification
13.4 Oscillator
13.5 Bistability and Memory Cell
13.6 Quantum Wires
13.7 Multichannel Scattering
Contents
13.8 Quantum Point Contact 299
13.9 Summary 309
14 Arithmetic, Logic and Machines 310
14.1 Counting 310
14.2 Arithmetic 311
14.3 Binary Numbers 314
14.4 Logic 316
14.5 Logic Gates 318
14.6 Physical Gates 323
14.7 Feedback 326
14.8 Summary 329
Appendices 331
A: Principles of Quantum Mechanics 331
A. 1 Quantum Kinematics 331
A.2 Time and Quantum Dynamics 332
A.3 Superposition Principle 334
A.4 Fundamental Dynamic Equation 336
A.5 Multiplication Rule 337
A.6 The Propagator 338
A.7 Action and Correspondence Limit 341
A.8 Infinitesimal Time Step Propagator 342
A.9 The Schrodinger Equation 344
A. 10 Evolution Operator 347
B: Dirac Delta Function 349
C: Fourier Analysis 354
D: Classical Mechanics 356
E: Wave Function Properties 360
F: Transfer Matrix Properties 367
G: Momentum 372
G. 1 Time-of-Flight Experiment 372
G.2 Momentum Representation 375
H: Confined Particles 379
1: Spin and Quantum Statistics 384
J: Statistical Mechanics 386
Contents
K: Fermi-Dirac Distribution 389
L: Thermal Current Fluctuations 398
M: Gaussian Wave Packets 400
N: Wave Packet Dynamics 412
0: Screening by Symmetry Method 419
P: Commutation and Common Eigenfunctions 421
Q: Interband Coupling 423
R: Common Crystal Structures 427
S: Effective Mass Approximation 430
5.1 Band Edge as Potential 430
5.2 The k · p method 431
T: Integral Doubling Formula 434
References 436
Index 437
Adopting a uniquely pedagogical
approach, this comprehensive
textbook on the quantum mechanics of
semiconductor materials and devices
focuses on the materials, components
and devices themselves while
incorporating a substantial amount
of fundamental physics related to
condensed matter theory and
quantum mechanics.
Written primarily for advanced
undergraduate students in physics and
engineering, this book can also be used
as a supporting text for introductory
quantum mechanics courses, and will
be of interest to anyone interested in
how electronic devices function at a
fundamental level.
Complete with numerous exercises,
and with all the necessary mathematics
and physics included in appendices,
this book guides the reader seamlessly
through the principles of quantum
mechanics and the quantum theory
of metals and semiconductors before
describing in detail how devices are
exploited within electric circuits and
in the hardware of computers, for
example, as amplifiers, switches
and transistors.
This comprehensive textbook on the quantum mechanics
of semiconductor materials and devices adopts a uniquely
pedagogical and self-contained approach: not only does it
focus on the materials, components and devices themselves,
it also incorporates important fundamental physics related to
condensed matter theory and quantum mechanics.
• Beginning with the principles of quantum mechanics, the
book then takes the reader through the quantum theory
of metals and semiconductors before describing in detail
how devices are exploited within electric circuits and in the
hardware of computers, for example, as amplifiers, switches
and transistors.
• Includes numerous exercises with solutions throughout the
text to aid self-instruction as well as online solutions.
• Assumes only basic mathematical skills and includes the
elementary physics needed for understanding the content of
the chapters within the appendices.
|
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| indexdate | 2024-07-10T07:41:49Z |
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| language | English |
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| spelling | Rammer, Jørgen Verfasser (DE-588)1055085890 aut Physics of electronic materials principles and applications Jørgen Rammer, Lund University Cambridge, United Kingdom Cambridge University Press 2017 xii, 438 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Halbleiterphysik (DE-588)4113829-6 gnd rswk-swf Material (DE-588)4169078-3 gnd rswk-swf Physikalische Eigenschaft (DE-588)4134738-9 gnd rswk-swf Halbleiterbauelement (DE-588)4113826-0 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Elektronik (DE-588)4014346-6 gnd rswk-swf Elektronik (DE-588)4014346-6 s Material (DE-588)4169078-3 s Quantenmechanik (DE-588)4047989-4 s DE-604 Halbleiterphysik (DE-588)4113829-6 s Halbleiterbauelement (DE-588)4113826-0 s Physikalische Eigenschaft (DE-588)4134738-9 s 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=029443855&sequence=000001&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=029443855&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Rammer, Jørgen Physics of electronic materials principles and applications Halbleiterphysik (DE-588)4113829-6 gnd Material (DE-588)4169078-3 gnd Physikalische Eigenschaft (DE-588)4134738-9 gnd Halbleiterbauelement (DE-588)4113826-0 gnd Quantenmechanik (DE-588)4047989-4 gnd Elektronik (DE-588)4014346-6 gnd |
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| title | Physics of electronic materials principles and applications |
| title_auth | Physics of electronic materials principles and applications |
| title_exact_search | Physics of electronic materials principles and applications |
| title_full | Physics of electronic materials principles and applications Jørgen Rammer, Lund University |
| title_fullStr | Physics of electronic materials principles and applications Jørgen Rammer, Lund University |
| title_full_unstemmed | Physics of electronic materials principles and applications Jørgen Rammer, Lund University |
| title_short | Physics of electronic materials |
| title_sort | physics of electronic materials principles and applications |
| title_sub | principles and applications |
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