Theory of the electronic structure of Quantum dots in external fields:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Garching b. München
Verein zur Förderung des Walter-Schottky-Inst. der Techn. Univ. München
2012
|
| Edition: | 1. Aufl. |
| Series: | Selected Topics of Semiconductor Physics and Technology
Vol. 146 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 146 S. graph. Darst. |
| ISBN: | 9783941650466 |
Staff View
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| adam_text | IMAGE 1
CONTENTS
INTRODUCTION A N D M O T I V A T I O N X I
I M O D E L 1
1 R E V I E W O F T H E C O N T I N U U M M O D E L O F S E M I C O N D
U C T O R H E T E R O S T R U C T U R E S 3
1.1 INTRODUCTION 3
1.2 LUTTINGER-KOHN K * P THEORY 3
1.2.1 BLOCH S THEOREM 4
1.2.2 LUTTINGER-KOHN REPRESENTATION 4
1.2.3 LUTTINGER-KOHN HAMILTONIAN 5
1.2.4 ENVELOPE FUNCTION THEORY 6
1.2.5 LUTTINGER-KOHN MOMENTUM OPERATOR 6
1.2.6 LOEWDIN S PERTURBATION THEORY 7
1.2.7 MOMENTUM OPERATOR IN LOEWDIN S BASIS 10
1.3 LINEAI - OPTICA] RESPONSE THEORY 11
1.4 CONTINUUM STRAIN 13
1.5 PIEZOELECTRIC EFFECT 15
2 N E W D E R I V A T I O N O F T H E Z I N C B L E N D E M U L T I - B
A N D K * P - H A M I L T O N I A N 1 7
2.1 INTRODUCTION 17
2.2 REVIEW OF SYMMETRY PROPERTIES OF THE ZINCBLENDE HAMILTONIAN . . . .
18 2.2.1 IRREDUCIBLE REPRESENTATIONS OF T D 18
2.2.2 LUTTINGER-KOHN HAMILTONIAN IN T J SYMMETRY 19
2.3 DERIVATION OF THE SECOND-ORDER K * P HAMILTONIAN 20
2.3.1 REVIEW OF THE FIRST-ORDER EXTENDED KANE MODEL 20
2.3.2 OPERATOR ORDERING IN THE ENVELOPE FUNCTION APPROXIMATION . . 24
2.3.3 COUPLING OF THE FREE ELECTRON SPIN T O A MAGNETIC FIELD 26
2.3.4 PERTURBATIVE COUPLING T O REMOTE BANDS 27
2.4 LINEAR RESPONSE THEORY OF THE 3-TENSOR 29
2.5 RELATION T O H P MODELS WITH FEWER BANDS 33
2.5.1 T H E EIGHT-BAND MODEL 33
2.5.2 T H E SINGLE-BAND MODEL OF THE CONDUCTION BAND 34
III
HTTP://D-NB.INFO/1029268711
IMAGE 2
IV C O N T E N T S
2.5.3 T H E SIX-BAND MODEL OF THE VALENCE BAND 35
2.6 CARTESIAN REPRESENTATION OF THE K * P HAMILTONIAN 35
2.7 MATERIAL PARAMETERS OF T H E K * P HAMILTONIAN 39
2.7.1 ELLIPTIC PARAMETER SETS 39
2.7.2 TEMPERATURE DEPENDENCY 39
2.7.3 INTERPOLATION OF TERNARY ALLOYS 40
2.8 ROTATIONS OF T H E K * P HAMILTONIAN 40
3 N O V E L S Y M M E T R Y A D A P T E D F I N I T E E L E M E N T M E
T H O D ( S A F E ) 4 3
3.1 INTRODUCTION 43
3.2 METHOD 44
3.2.1 THE PROBLEM: SPURIOUS SOLUTIONS IN DISCRETE EFFECTIVE MASS THEORY
44 3.2.2 T H E SOLUTION: T H E SAFE METHOD 45
3.2.3 SAFE METHOD FOR EIGHT- AND 14-BAND HAMILTONIANS 48
3.2.4 GAUGE-INVARIANT SAFE METHOD FOR MAGNETIC FIELDS 50
3.3 RESULTS 53
3.4 SUMMARY 55
4 CONCRETE NUMERICAL I M P L E M E N T A T I O N 5 7
4.1 INTRODUCTION 57
4.2 IMPLEMENTATION OF T H E FINITE ELEMENT METHOD 57
4.2.1 FINITE ELEMENT SPACE 58
4.2.2 ISOPARAMETRIC FINITE ELEMENTS 62
4.2.3 EFFICIENT IMPLEMENTATION 63
4.2.4 HERMITE FINITE ELEMENTS 65
4.2.5 BOUNDARY CONDITIONS 66
4.3 SOLUTION OF LINEAR SYSTEMS OF EQUATIONS 67
4.4 SOLUTION OF EIGENVALUE PROBLEMS 69
I I R E S U L T S 7 1
5 N E W INSIGHTS T O T H E S Y M M E T R Y LIFTING IN I N G A A S / G A
A S Q U A N T U M
D O T S 7 3
5.1 INTRODUCTION 73
5.2 METHOD 76
5.3 RESULTS AND DISCUSSION 78
5.3.1 P-LEVEL SPLITTING 78
5.3.2 SHAPE ANISOTROPY 81
5.3.3 SIGN OF THE PIEZOELECTRIC POTENTIAL 83
5.4 SUMMARY 87
IMAGE 3
C O N T E N T S V
6 P R E D I C T I O N O F S T R O N G ELECTRICAL G-FACTOR T U N I N G IN
IN-DILUTE Q U A N T U M D O T S 8 9
6.1 INTRODUCTION 89
6.2 METHOD 90
6.2.1 ELECTRON-HOLE COULOMB INTERACTION 91
6.2.2 SIGN CONVENTION OF THE G-FACTOR 92
6.2.3 VALENCE BAND G-FACTOR ANISOTROPY 94
6.3 RESULTS AND DISCUSSION 94
6.3.1 E-FIELD DEPENDENCE OF THE EXCITON G-FACTOR 94
6.3.2 ORBITAL ANGULAR MOMENTUM QUENCHING 96
6.3.3 UNIVERSAL SINGLE-QUBIT GATE 99
6.4 SUMMARY 101
7 EXPLANATION O F T H E NON-LINEAR Z E E M A N SPLITTING IN LARGE Q U A
N T U M D O T S 1 0 3
7.1 INTRODUCTION 103
7.2 MODEL 105
7.3 RESULTS AND DISCUSSION 106
7.3.1 NON-LINEAR ZEEMAN SPLITTING 106
7.3.2 DEGREE OF POLARIZATION I L L
7.4 SUMMARY 113
I I I A P P E N D I C E S 1 1 5
A C O N T I N U U M LIMIT O F T H E GAUGE-INVARIANT S A F E M E T H O D
1 1 7
B ANGULAR M O M E N T U M MATRICES O F T,; 119
C MATERIAL PARAMETERS O F I N G A A S 121
D T E R M REWRITING S Y S T E M 1 2 3
D . L DEFINITION OF THE TRS 123
D.2 APPLICATION OF THE TRS 127
D.3 OPTIMIZATION OF THE DISCRETIZATION 128
LIST O F PUBLICATIONS 129
ACKNOWLEDGMENTS 131
|
| any_adam_object | 1 |
| author | Eißfeller, Thomas |
| author_GND | (DE-588)1029358729 |
| author_facet | Eißfeller, Thomas |
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| author_variant | t e te |
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| bvnumber | BV040651378 |
| classification_tum | PHY 706d |
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| dewey-full | 537.622 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537.622 |
| dewey-search | 537.622 |
| dewey-sort | 3537.622 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| indexdate | 2024-07-10T00:28:19Z |
| institution | BVB |
| isbn | 9783941650466 |
| language | English |
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| physical | XVI, 146 S. graph. Darst. |
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| spelling | Eißfeller, Thomas Verfasser (DE-588)1029358729 aut Theory of the electronic structure of Quantum dots in external fields Thomas Eißfeller 1. Aufl. Garching b. München Verein zur Förderung des Walter-Schottky-Inst. der Techn. Univ. München 2012 XVI, 146 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Selected Topics of Semiconductor Physics and Technology Vol. 146 Zugl.: München, Techn. Univ., Diss., 2012 Quantenpunkt (DE-588)4263396-5 gnd rswk-swf Elektrisches Feld (DE-588)4014211-5 gnd rswk-swf Elektronenstruktur (DE-588)4129531-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenpunkt (DE-588)4263396-5 s Elektronenstruktur (DE-588)4129531-6 s Elektrisches Feld (DE-588)4014211-5 s DE-604 Selected Topics of Semiconductor Physics and Technology Vol. 146 (DE-604)BV011499438 146 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025478276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eißfeller, Thomas Theory of the electronic structure of Quantum dots in external fields Selected Topics of Semiconductor Physics and Technology Quantenpunkt (DE-588)4263396-5 gnd Elektrisches Feld (DE-588)4014211-5 gnd Elektronenstruktur (DE-588)4129531-6 gnd |
| subject_GND | (DE-588)4263396-5 (DE-588)4014211-5 (DE-588)4129531-6 (DE-588)4113937-9 |
| title | Theory of the electronic structure of Quantum dots in external fields |
| title_auth | Theory of the electronic structure of Quantum dots in external fields |
| title_exact_search | Theory of the electronic structure of Quantum dots in external fields |
| title_full | Theory of the electronic structure of Quantum dots in external fields Thomas Eißfeller |
| title_fullStr | Theory of the electronic structure of Quantum dots in external fields Thomas Eißfeller |
| title_full_unstemmed | Theory of the electronic structure of Quantum dots in external fields Thomas Eißfeller |
| title_short | Theory of the electronic structure of Quantum dots in external fields |
| title_sort | theory of the electronic structure of quantum dots in external fields |
| topic | Quantenpunkt (DE-588)4263396-5 gnd Elektrisches Feld (DE-588)4014211-5 gnd Elektronenstruktur (DE-588)4129531-6 gnd |
| topic_facet | Quantenpunkt Elektrisches Feld Elektronenstruktur Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025478276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT eißfellerthomas theoryoftheelectronicstructureofquantumdotsinexternalfields |