Semiconductor nanostructures: quantum states and electronic transport
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XV, 552 S. Ill., graph. Darst. |
| ISBN: | 9780199534425 9780199534432 |
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| 245 | 1 | 0 | |a Semiconductor nanostructures |b quantum states and electronic transport |c Thomas Ihn |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2010 | |
| 300 | |a XV, 552 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Semiconductors | |
| 650 | 4 | |a Nanostructures | |
| 650 | 4 | |a Transport theory | |
| 650 | 4 | |a Nanostructures | |
| 650 | 4 | |a Semiconductors | |
| 650 | 4 | |a Transport theory | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-018006739 | ||
Datensatz im Suchindex
| _version_ | 1804140009651961856 |
|---|---|
| adam_text | Contents
1
Introduction
1
1.1
A short
survey I
1.2
What is a semiconductor?
5
1.3
Semiconducting materials
8
Further reading
9
Exercises
9
2
Semiconductor crystals
11
2.1
Crystal structure
11
2.2
Fabrication of crystals and wafers
11
2.2.1
Silicon
11
2.2.2
Germanium
13
2.2.3
Gallium arsenide
15
2.3
Layer by layer growth
15
2.3.1
Molecular beam epitaxy
-
MBE
15
2.3.2
Other methods
17
Further reading
18
Exercises
18
3
Band structure
19
3.1
Spinless
and noninteracting electrons
19
3.2
Electron spin and the
Zeeman hamiltonian
27
3.3
Spin-orbit interaction
29
3.4
Band structure of some semiconductors
31
3.5
Band structure near band
extrema:
k-p-theory
33
3.6
Spin-orbit interaction within k-p-theory
42
3.7
Thermal occupation of states
47
3.8
Measurements of the band structure
49
Further reading
51
Exercises
51
4
Envelope functions and effective mass approximation
53
4.1
Quantum mechanical motion in a parabolic band
53
4.2
Semiclassical equations of motion, electrons and holes
59
Further reading
60
Exercises
61
χ
Contents
5 Material
aspects
of heterostructures, doping, surfaces,
and gating
5.1
Band engineering
63
5.2
Doping, remote doping
72
5.3
Semiconductor surfaces
76
5.4
Metal electrodes on semiconductor surfaces
77
Further reading
82
Exercises
82
Fabrication of semiconductor nanostructures
83
6.1
Growth methods
83
6.2
Lateral patterning
88
Further reading
93
Electrostatics of semiconductor nanostructures
95
7.1
The electrostatic problem
95
7.2
Formal solution using Green s function
96
7.3
Induced charges on gate electrodes
98
7.4
Total electrostatic energy
99
7.5
Simple model of a split-gate structure
100
Further reading
102
Exercises
102
8
Quantum mechanics in semiconductor nanostructures
103
8.1
General hamiltonian
103
8.2
Single-particle approximations for the many-particle
problem
106
Further reading
112
Exercises
113
9
Two-dimensional electron gases in heterostructures
115
9.1
Electrostatics of a GaAs/AlGaAs heterostructure
115
9.2
Electrochemical potentials and applied gate voltage
117
9.3
Capacitance between top gate and electron gas
118
9.4
Fang-Howard variational approach
118
9.5
Spatial potential fluctuations and the theory of screening
122
9.5.1
Spatial potential fluctuations
122
9.5.2
Linear static polarizability of the electron gas
123
9.5.3
Linear screening
125
9.5.4
Screening a single point charge
128
9.5.5
Mean amplitude of potential fluctuations
132
9.5.6
Nonlinear screening
134
9.6
Spin-orbit interaction
135
9.7
Summary of characteristic quantities
138
Further reading
140
Exercises
141
Contents xi
10
Diffusive classical transport in two-dimensional electron
gases
143
10.1
Ohm s law and current density
143
10.2
Hall effect
145
10.3
Drude
model with magnetic field
146
10.4
Sample geometries
150
10.5
Conductivity from Boltzmann s equation
157
10.6
Scattering mechanisms
161
10.7
Quantum treatment of ionized impurity scattering
165
10.8
Einstein relation: conductivity and diffusion constant
169
10.9
Scattering time and cross-section
170
10.10
Conductivity and field effect in graphene
171
Further reading
173
Exercises
174
11
Ballistic electron transport in quantum point contacts
175
11.1
Experimental observation of conductance quantization
175
11.2
Current and conductance in an ideal quantum wire
177
11.3
Current and transmission: adiabatic approximation
182
11.4
Saddle point model for the quantum point contact
185
11.5
Conductance in the nonadiabatic case
186
11.6 Nonideal
quantum point contact conductance
188
11.7
Self-consistent interaction effects
189
11.8
Diffusive limit: recovering the
Drude
conductivity
189
Further reading
192
Exercises
192
12
Tunneling transport through potential barriers
193
12.1
Tunneling through a single delta-barrier
193
12.2
Perturbative treatment of the tunneling coupling
195
12.3
Tunneling current in a noninteracting system
198
12.4
Transfer hamiltonian
200
Further reading
200
Exercises
200
13
Multiterminal systems
201
13.1
Generalization of conductance: conductance matrix
201
13.2
Conductance and transmission:
Landauer-Büttiker
approach
202
13.3
Linear response: conductance and transmission
203
13.4
The transmission matrix
204
13.5
5-matrix and T-matrix
205
13.6
Time-reversal
invariance
and magnetic field
208
13.7
Four-terminal resistance
209
13.8
Ballistic transport experiments in open systems
212
Further reading
223
Exercises
223
xii Contents
14
Interference effects in nanostructures I
225
14.1
Double-slit interference
225
14.2
The Aharonov-Bohm phase
226
14.3
Aharonov-Bohm experiments
229
14.4
Berry s phase and the adiabatic limit
235
14.5
Aharonov-Casher phase and spin-orbit interaction
induced phase effects
243
14.6
Experiments on spin-orbit interaction induced phase
effects in rings
249
14.7
Decoherence
250
14.7.1
Decoherence by entanglement with the
environment
250
14.7.2
Decoherence by motion in a fluctuating
environment
253
14.8
Conductance fluctuations in mesoscopic samples
256
Further reading
262
Exercises
262
15
Diffusive quantum transport
265
15.1
Weak localization effect
265
15.2
Decoherence in two dimensions at low temperatures
267
15.3
Temperature-dependence of the conductivity
268
15.4
Suppression of weak localization in a magnetic field
269
15.5
Validity range of the Drude-Boltzmann theory
272
15.6
Thouless energy
273
15.7
Scaling theory of localization
275
15.8
Length scales and their significance
279
15.9
Weak antilocalization and spin-orbit interaction
280
Further reading
286
Exercises
286
16 Magnetotransport in
two-dimensional systems
287
16.1
Shubnikov-de Haas effect
287
16.1.1
Electron in a perpendicular magnetic field
288
16.1.2
Quantum treatment of
Ε χ
B-drift
292
16.1.3
Landau level broadening by scattering
293
16.1.4
Magnetocapacitance measurements
297
16.1.5
Oscillatory magnetoresistance and Hall resistance
298
16.2
Electron localization at high magnetic fields
301
16.3
The integer quantum Hall effect
305
16.3.1
Phenomenology of the quantum Hall effect
306
16.3.2
Bulk models for the quantum Hall effect
309
16.3.3
Models considering the sample edges
310
16.3.4
Landauer-Biittiker picture
311
16.3.5
Self-consistent screening in edge channels
318
16.3.6
Quantum Hall effect in graphene
320
16.4
Fractional quantum Hall effect
322
16.4.1
Experimental observation
322
Contents xiii
16.4.2
Laughlin s theory
324
16.4.3 New
quasiparticles: composite
fermions
325
16.4.4
Composite fermions
in higher Landau levels
327
16.4.5
Even denominator fractional quantum Hall states
328
16.4.6
Edge channel picture
329
16.5
The electronic Mach-Zehnder interferometer
330
Further reading
332
Exercises
333
17
Interaction effects in diffusive two-dimensional electron
transport
335
17.1
Influence of screening on the
Drude
conductivity
335
17.2
Quantum corrections of the
Drude
conductivity
338
Further reading
339
Exercises
339
18
Quantum dots
341
18.1
Coulomb-blockade effect in quantum dots
341
18.1.1
Phenomenology
341
18.1.2
Experiments demonstrating the quantization of
charge on the quantum dot
344
18.1.3
Energy scales
345
18.1.4
Qualitative description
349
18.2
Quantum dot states
354
18.2.1
Overview
354
18.2.2
Capacitance model
355
18.2.3
Approximations for the single-particle spectrum
359
18.2.4
Energy level spectroscopy in a perpendicular
magnetic field
360
18.2.5
Spectroscopy of states using gate-induced electric
fields
364
18.2.6
Spectroscopy of spin states in a parallel magnetic
field
365
18.2.7
Two electrons in a parabolic confinement:
quantum dot helium
366
18.2.8
Hartree
and Hartree-Fock approximations
372
18.2.9
Constant interaction model
375
18.2.10
Configuration interaction, exact diagonalization
376
18.3
Electronic transport through quantum dots
377
18.3.1
Resonant tunneling
377
18.3.2
Sequential tunneling
387
18.3.3
Higher order tunneling processes: cotunneling
398
18.3.4
Tunneling with spin-flip: the Kondo effect in
quantum dots
403
Further reading
406
Exercises
407
xiv Contents
19
Coupled quantum
dots
409
19.1
Capacitance model
410
19.2
Finite tunneling coupling
415
19.3
Spin excitations in two-electron double dots
417
19.3.1
The effect of the tunneling coupling
417
19.3.2
The effect of the hyperfme interaction
418
19.4
Electron transport
420
19.4.1
Two quantum dots connected in parallel
420
19.4.2
Two quantum dots connected in series
420
Further reading
425
Exercises
425
20
Electronic noise in semiconductor nanostructures
427
20.1
Classification of noise
427
20.2
Characterization of noise
428
20.3
Filtering and bandwidth limitation
431
20.4
Thermal noise
434
20.5
Shot noise
436
20.5.1
Shot noise of a vacuum tube
436
20.5.2
Landauer s wave packet approach
438
20.5.3
Noise of a partially occupied monoenergetic stream
of
fermions
440
20.5.4
Zero temperature shot noise with binomial
distribution
441
20.6
General expression for the noise in mesoscopic systems
442
20.7
Experiments on shot noise in mesoscopic systems
445
20.7.1
Shot noise in open mesoscopic systems
445
20.7.2
Shot noise and full counting statistics in quantum
dots
447
Further reading
450
Exercises
451
21
Interference effects in nanostructures II
453
21.1
The
Fano
effect
453
21.2
Measurements of the transmission phase
458
21.3
Controlled decoherence experiments
461
Further reading
467
Exercises
468
22
Quantum information processing
469
22.1
Classical information theory
470
22.1.1
Uncertainty and information
470
22.1.2
What is a classical bit?
473
22.1.3
Shannon entropy and data compression
475
22.1.4
Information processing: loss of information and
noise
475
22.1.5
Sampling theorem
484
22.1.6
Capacitance of a noisy communication channel
486
Contents xv
22.2
Thermodynamics and information
488
22.2.1
Information entropy and physical entropy
488
22.2.2
Energy dissipation during bit erasure: Landauer s
principle
492
22.2.3
Boolean logic
493
22.2.4
Reversible logic operations
495
22.3
Brief survey of the theory of quantum information
processing
496
22.3.1
Quantum information theory: the basic idea
496
22.3.2
Qubits
498
22.3.3
Qubit operations
505
22.4
Implementing qubits and qubit operations
506
22.4.1
Free oscillations of a double quantum dot charge
qubit
507
22.4.2
Rabi
oscillations of an excitonic qubit
509
22.4.3
Quantum dot spin-qubits
512
Further reading
519
Exercises
520
A Fourier transform and Fourier series
521
A.I Fourier series of lattice periodic functions
521
A.2 Fourier transform
521
A.3 Fourier transform in two dimensions
521
В
Extended Green s theorem and Green s function
523
B.I Derivation of an extended version of Green s theorem
523
B.2 Proof of the symmetry of Green s functions
523
С
The delta-function
525
References
527
Index
545
|
| any_adam_object | 1 |
| author | Ihn, Thomas 1965- |
| author_GND | (DE-588)115077901 |
| author_facet | Ihn, Thomas 1965- |
| author_role | aut |
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| callnumber-label | TK7871 |
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| callnumber-sort | TK 47871.85 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | UP 3150 |
| classification_tum | PHY 704f |
| ctrlnum | (OCoLC)698848606 (DE-599)BVBBV035730126 |
| dewey-full | 621.38152 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.38152 |
| dewey-search | 621.38152 |
| dewey-sort | 3621.38152 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Technik allgemein Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV035730126 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:53:10Z |
| institution | BVB |
| isbn | 9780199534425 9780199534432 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018006739 |
| oclc_num | 698848606 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-11 DE-83 DE-634 |
| owner_facet | DE-29T DE-703 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-11 DE-83 DE-634 |
| physical | XV, 552 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | Ihn, Thomas 1965- Verfasser (DE-588)115077901 aut Semiconductor nanostructures quantum states and electronic transport Thomas Ihn 1. publ. Oxford [u.a.] Oxford Univ. Press 2010 XV, 552 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Semiconductors Nanostructures Transport theory Quantenpunkt (DE-588)4263396-5 gnd rswk-swf Halbleiter (DE-588)4022993-2 gnd rswk-swf Nanostruktur (DE-588)4204530-7 gnd rswk-swf Halbleiter (DE-588)4022993-2 s Nanostruktur (DE-588)4204530-7 s DE-604 Quantenpunkt (DE-588)4263396-5 s Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018006739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ihn, Thomas 1965- Semiconductor nanostructures quantum states and electronic transport Semiconductors Nanostructures Transport theory Quantenpunkt (DE-588)4263396-5 gnd Halbleiter (DE-588)4022993-2 gnd Nanostruktur (DE-588)4204530-7 gnd |
| subject_GND | (DE-588)4263396-5 (DE-588)4022993-2 (DE-588)4204530-7 |
| title | Semiconductor nanostructures quantum states and electronic transport |
| title_auth | Semiconductor nanostructures quantum states and electronic transport |
| title_exact_search | Semiconductor nanostructures quantum states and electronic transport |
| title_full | Semiconductor nanostructures quantum states and electronic transport Thomas Ihn |
| title_fullStr | Semiconductor nanostructures quantum states and electronic transport Thomas Ihn |
| title_full_unstemmed | Semiconductor nanostructures quantum states and electronic transport Thomas Ihn |
| title_short | Semiconductor nanostructures |
| title_sort | semiconductor nanostructures quantum states and electronic transport |
| title_sub | quantum states and electronic transport |
| topic | Semiconductors Nanostructures Transport theory Quantenpunkt (DE-588)4263396-5 gnd Halbleiter (DE-588)4022993-2 gnd Nanostruktur (DE-588)4204530-7 gnd |
| topic_facet | Semiconductors Nanostructures Transport theory Quantenpunkt Halbleiter Nanostruktur |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018006739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ihnthomas semiconductornanostructuresquantumstatesandelectronictransport |