Quantum wells, wires and dots: theoretical and computational physics of semiconductor nanostructures
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
2009
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVI, 538 S. Ill., graph. Darst. |
| ISBN: | 9780470770986 9780470770979 |
Internformat
MARC
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| 100 | 1 | |a Harrison, Paul |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum wells, wires and dots |b theoretical and computational physics of semiconductor nanostructures |c Paul Harrison |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Chichester [u.a.] |b Wiley |c 2009 | |
| 300 | |a XXVI, 538 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Quantum wells | |
| 650 | 4 | |a Nanowires | |
| 650 | 4 | |a Quantum dots | |
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Datensatz im Suchindex
| _version_ | 1804140826228424704 |
|---|---|
| adam_text | CONTENTS
Preface
xv
Acknowledgements
xix
About the author(s)
xxi
About the book
xxiii
Introduction
xxv
1
Semiconductors and heterostructures
1
1.1
The mechanics of waves
1
1.2
Crystal structure
3
1.3
The effective mass approximation
5
1.4
Band theory
6
1.5
Heterojunctions
7
1.6
Heterostructures
8
1.7
The envelope function approximation
11
1.8
The reciprocal lattice
11
2
Solutions to
Schrödinger s
equation
17
2.1
The infinite well
17
vii
CONTENTS
2.2
In-plane dispersion
20
2.3
Density of states
23
2.4
Subband populations
26
2.5
Finite well with constant mass
29
2.6
Effective mass mismatch at heterojunctions
34
2.7
The infinite barrier height and mass limits
36
2.8
Hermiticity and the kinetic energy operator
38
2.9
Alternative kinetic energy operators
40
2.10
Extension to multiple-well systems
41
2.11
The asymmetric single quantum well
44
2.12
Addition of an electric field
45
2.13
The infinite superlattice
48
2.14
The single barrier
54
2.15
The double barrier
56
2.16
Extension to include electric field
63
2.17
Magnetic fields and Landau quantisation
63
2.18
In summary
65
Numerical solutions
67
3.1
Shooting method
67
3.2
Generalized initial conditions
70
3.3
Practical implementation of the shooting method
72
3.4
Heterojunction boundary conditions
75
3.5
The parabolic potential well
76
3.6
The
Pöschl-Teller
potential hole
79
3.7
Convergence tests
81
3.8
Extension to variable effective mass
82
3.9
The double quantum well
85
3.10
Multiple quantum wells and finite superlattices
87
3.11
Addition of electric field
89
3.12
Quantum confined Stark effect
89
3.13
Field-induced anti-crossings
90
3.14
Symmetry and selection rules
91
3.15
The
Heisenberg
uncertainty principle
92
3.16
Extension to include band non-parabolicity
95
3.17
Poisson s equation
98
3.18
Self-consistent
Schrödinger-Poisson
solution
102
3.19
Computational implementation
104
3.20
Modulation doping
105
3.21
The high-electron-mobility transistor
105
4
Diffusion
4.1
Introduction
4.2
Theory
4.3
Boundary
conditions
4.4
Convergence tests
4.5
Constant diffusion coefficients
4.6
Concentration
dependent diffusion
coefficient
4.7
Depth dependent
diffusion coefficient
4.8
Time dependent
diffusion coefficient
4.9
¿-doped
quantum
wells
4.10
Extension
to higher
dimensions
CONTENTS
IX
3.22
Band filling
107
109
109
111
113
113
115
117
118
121
122
125
5
Impurities
127
5.1
Donors and acceptors in bulk material
127
5.2
Binding energy in a heterostructure
130
5.3
Two-dimensional trial wave function
135
5.4
Three-dimensional trial wave function
141
5.5
Variable-symmetry trial wave function
148
5.6
Inclusion of a central cell correction
155
5.7
Special considerations for acceptors
156
5.8
Effective mass and dielectric mismatch
156
5.9
Band non-parabolicity
157
5.10
Excited states
157
5.11
Application to spin-flip Raman spectroscopy
158
5.12
Alternative approach to excited impurity states
163
5.13
The ground state
164
5.14
Position dependence
166
5.15
Excited states
167
5.16
Impurity occupancy statistics
170
6
Excitons
175
6.1
Excitons
in bulk
175
6.2
Excitons
in heterostructures
177
6.3
Exciton binding energies
177
6.4
Is exciton
183
6.5
The two-dimensional and three-dimensional limits
187
6.6
Excitons
in single quantum wells
191
6.7
Excitons
in multiple quantum wells
194
X
CONTENTS
6.8
Stark ladders
196
6.9
Self-consistent effects
198
6.10
Spontaneous symmetry breaking
199
6.11
2s exciton
200
7
Strained quantum wells, V. D.
Jovanović
203
7.1
Stress and strain in bulk crystals
203
7.2
Strain in quantum wells
207
7.3
Strain balancing
210
7.4
Effect on the band profile of quantum wells
213
7.5
The piezoelectric effect
215
7.6
Induced piezoelectric fields in quantum wells
218
7.7
Effect of piezoelectric fields on quantum wells
220
8
Simple models of quantum wires and dots
225
8.1
Further confinement
225
8.2 Schrödinger s
equation in quantum wires
228
8.3
Infinitely deep rectangular wires
229
8.4
Simple approximation to a finite rectangular wire
232
8.5
Circular cross-section wire
236
8.6
Quantum boxes
239
8.7
Spherical quantum dots
240
8.8
Non-zero angular momentum states
243
8.9
Approaches to pyramidal dots
244
8.10
Matrix approaches
245
8.11
Finite difference expansions
246
8.12
Density of states
247
9
Quantum dots, M. Califano
251
9.1
0-dimensional systems and their experimental realization
251
9.2
Cuboidal dots
254
9.3
Dots of arbitrary shape
254
9.4
Application to real problems
264
9.5
A more complex model is not always a better model
271
10
Carrier scattering
273
10.1
Fermi s Golden Rule
273
10.2
Phonons
273
10.3
Longitudinal optic phonon scattering of bulk carriers
276
CONTENTS
XI
10.4
LO
phonon
scattering
of two-dimensional carriers
284
10.5
Application to conduction subbands
295
10.6
Averaging over carrier distributions
298
10.7
Ratio of emission to absorption
299
10.8
Screening of the
LO
phonon interaction
301
10.9
Acoustic deformation potential scattering
301
10.10
Application to conduction subbands
307
10.11
Optical deformation potential scattering
309
10.12
Confined and interface phonon modes
311
10.13
Carrier-carrier scattering
312
10.14
Addition of screening
319
10.15
Averaging over an initial state population
320
10.16
Intrasubband versus intersubband
323
10.17
Thermalized distributions
325
10.18
Auger-type intersubband processes
325
10.19
Asymmetric intrasubband processes
327
10.20
Empirical relationships
327
10.21
Carrier-photon scattering
328
10.22
Carrier scattering in quantum wires and dots
334
11
Electron transport
335
11.1
Introduction
335
11.2
Mid-infrared quantum cascade lasers
336
11.3
Realistic quantum cascade laser
340
11.4
Rate equations
342
11.5
Self-consistent solution of the rate equations
344
11.6
Calculation of the current density
346
11.7
Phonon and carrier-carrier scattering transport
346
11.8
Electron temperature
347
11.9
Calculation of the gain
351
11.10
QCLs, QWIPs, QDIPs and other methods
352
12
Optical properties of quantum wells, D. Indjin
355
12.1
Intersubband absorption in quantum wells
355
12.2
Bound-bound transitions
360
12.3
Bound-free transitions
361
12.4
Fermi level
363
12.5
Rectangular quantum well
364
12.6
Intersubband optical non-linearities
371
12.7
Electric polarization
372
XU CONTENTS
12.8 Intersubband
second harmonie
generation
373
12.9
Maximization of resonant susceptibility
375
13
Optical waveguides,
С
A. Evans
381
13.1
Introduction to optical waveguides
381
13.2
Optical waveguide analysis
383
13.3
Optical properties of materials
391
13.4
Application to waveguides of laser devices
399
14
Multiband envelope function (k.p) method,
Z. Ikonie
407
14.1
Symmetry, basis states and band structure
407
14.2
Valence band structure and the
6x6
Hamiltonian
409
14.3 4x4
valence band Hamiltonian
412
14.4
Complex band structure
413
14.5
Block-diagonalization of the Hamiltonian
414
14.6
The valence band in strained cubic semiconductors
416
14.7
Hole subbands in heterostructures
418
14.8
Valence band offset
420
14.9
The layer (transfer matrix) method
422
14.10
Quantum well subbands
426
14.11
The influence of strain
427
14.12
Strained quantum well subbands
428
14.13
Direct numerical methods
428
15
Empirical pseudo-potential theory
431
15.1
Principles and approximations
431
15.2
Elemental band structure calculation
432
15.3
Spin-orbit coupling
440
15.4
Compound semiconductors
442
15.5
Charge densities
445
15.6
Calculating the effective mass
448
15.7
Alloys
448
15.8
Atomic form factors
450
15.9
Generalization to a large basis
450
15.10
Spin-orbit coupling within the large basis approach
453
15.11
Computational implementation
455
15.12
Deducing the parameters and application
456
15.13
Isoelectronic impurities in bulk
459
15.14
The electronic structure around point defects
464
CONTENTS XIII
16
Microscopic electronic
properties of
heterostructures
467
16.1
The superlattice unit cell
467
16.2
Application of large basis method to superlattices
471
16.3
Comparison with envelope function approximation
474
16.4
In-plane dispersion
476
16.5
Interface coordination
477
16.6
Strain-layered superlattices
478
16.7
The superlattice as a perturbation
479
16.8
Application to GaAs/AlAs superlattices
484
16.9
Inclusion of remote bands
486
16.10
The valence band
487
16.11
Computational effort
487
16.12
Superlattice dispersion and the interminiband laser
489
16.13
Addition of electric field
490
17
Application to quantum wires and dots
495
17.1
Recent progress
495
17.2
The quantum-wire unit cell
496
17.3
Confined states
499
17.4
V-grooved quantum wires
499
17.5
Along-axis dispersion
500
17.6
Tiny quantum dots
501
17.7
Pyramidal quantum dots
503
17.8
Transport through dot arrays
503
17.9
Anti-wires and anti-dots
506
Concluding remarks
507
Appendix A: Materials parameters
509
References
511
Topic index
533
|
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| callnumber-subject | QC - Physics |
| classification_rvk | UP 3150 |
| classification_tum | PHY 697f PHY 704f |
| ctrlnum | (OCoLC)429027132 (DE-599)BVBBV035852187 |
| dewey-full | 537.6/226 537.6226 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537.6/226 537.6226 |
| dewey-search | 537.6/226 537.6226 |
| dewey-sort | 3537.6 3226 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV035852187 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:09Z |
| institution | BVB |
| isbn | 9780470770986 9780470770979 |
| language | English |
| lccn | 2009033770 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018710204 |
| oclc_num | 429027132 |
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| owner_facet | DE-703 DE-20 DE-11 DE-355 DE-BY-UBR DE-91G DE-BY-TUM |
| physical | XXVI, 538 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Wiley |
| record_format | marc |
| spelling | Harrison, Paul Verfasser aut Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures Paul Harrison 3. ed. Chichester [u.a.] Wiley 2009 XXVI, 538 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantum wells Nanowires Quantum dots Quantendraht (DE-588)4263397-7 gnd rswk-swf Quantenpunkt (DE-588)4263396-5 gnd rswk-swf Quantenwell (DE-588)4124010-8 gnd rswk-swf Quantenwell (DE-588)4124010-8 s DE-604 Quantendraht (DE-588)4263397-7 s Quantenpunkt (DE-588)4263396-5 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018710204&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Harrison, Paul Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures Quantum wells Nanowires Quantum dots Quantendraht (DE-588)4263397-7 gnd Quantenpunkt (DE-588)4263396-5 gnd Quantenwell (DE-588)4124010-8 gnd |
| subject_GND | (DE-588)4263397-7 (DE-588)4263396-5 (DE-588)4124010-8 |
| title | Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures |
| title_auth | Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures |
| title_exact_search | Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures |
| title_full | Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures Paul Harrison |
| title_fullStr | Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures Paul Harrison |
| title_full_unstemmed | Quantum wells, wires and dots theoretical and computational physics of semiconductor nanostructures Paul Harrison |
| title_short | Quantum wells, wires and dots |
| title_sort | quantum wells wires and dots theoretical and computational physics of semiconductor nanostructures |
| title_sub | theoretical and computational physics of semiconductor nanostructures |
| topic | Quantum wells Nanowires Quantum dots Quantendraht (DE-588)4263397-7 gnd Quantenpunkt (DE-588)4263396-5 gnd Quantenwell (DE-588)4124010-8 gnd |
| topic_facet | Quantum wells Nanowires Quantum dots Quantendraht Quantenpunkt Quantenwell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018710204&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT harrisonpaul quantumwellswiresanddotstheoreticalandcomputationalphysicsofsemiconductornanostructures |