Verfügbarkeit: Spin dynamics in the central spin model

Spin dynamics in the central spin model: Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte

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Bibliographische Detailangaben
1. Verfasser:	Fuchs, Moritz Jakob ca. 21. Jh (VerfasserIn)
Format:	Abschlussarbeit Buch
Sprache:	English
Veröffentlicht:	Würzburg 2016
Schlagworte:	Quantenpunkt Elektronenspin Graphen Hochschulschrift
Online-Zugang:	Volltext Inhaltsverzeichnis
Beschreibung:	IX, 157 Seiten Illustrationen, Diagramme

Internformat

MARC


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Datensatz im Suchindex

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adam_text	SPIN DYNAMICS * THE CENTRAL SPIN MODE: A P P LICA TO T . GRAPHENE QUANTUM DOTS DISSERTATION ZUR ERLANGUNG DES NATURWISSENSCHAFTLICHEN DOKTORGRADES DER BAYERISCHEN JULIUS MAXIMILIANSUNVERSITAET WUERZBURG VORGELEGT VON MORITZ JAKOB FUCHS AUS VILSBIBURG WUERZBURG 2016 CONTENTS IN TRO D U CTO 1* PHYSICAL BACKGROUND OF QUANTUM DOTS 1* PHYSICAL PROPERTIES OF QUANTUM DOTS 1.1. M A TE R IA LS ................................................................................................ 1.2 PARTICLES AND INTERACTIONS IN SOLID STATE QUANTUM DOTS .................................. 1.2.1 ELECTRONS AND HOLES.................................................................................... 1.2.2 NUCLEAR S P IN S ............................................................................................. 1.2.3. DIRECT SPIN IN TE RA C TIO N S ........................................................................... 1.2.4 INDIRECT SPIN INTERACTIONS WITH P H O N O N S ............................................... 1.3 EXPERIMENTAL PROPERTIES OF SOLID STATE QUANTUM D O T S ..................................... 1.3.1 QUANTUM DOTS IN SPECIFIC M A TE RIA LS........................................................ 1.3.2. PROPERTIES OF GATED QUANTUM D O TS ........................................................... 1.3.3 MANIPULATING SPINS IN QUANTUM D O T S ..................................................... 2* SYSTEMS * ENVIRONMENTS AND DECOHERENCE 2.1 INTRODUCTION TO DECOHERENCE................................................................................. 2.2 MODELING QUANTUM S Y S TE M S ................................................................................. 2.2.1. CLOSED QUANTUM SYSTEM S........................................................................... 2.2.2. OPEN QUANTUM S Y S TE M S ........................................................................... 2.3 THE NAKAJIMA-ZWANZIG GENERALIZED MASTER E Q U A T I O N ..................................... 2.3.1 RELEVANT AND IRRELEVANT PARTS OF THE DENSITY MATRIX .......... 2.3.2 DERIVATION OF THE NAKAJIMA-ZWANZIG E Q U A TIO N ..................................... * THE CENTRAL SPIN MODEL IN QUANTUM DOTS 3* THERMAL ELECTRON SPIN P * QUANTUM DOTS 3.1. INTRODUCTORY CONSIDERATIO N S................................................................................. 3.2 THERMAL ELECTRON SPIN F L I P .................................................................................... 3.2.1. SIMPLIFIED H AM ILTONIAN.............................................................................. 3.2.2 THERMAL EXPECTATION V A LU E S .................................................................... 3.2.3 ANALYSIS OF THE SPIN F L I P ........................................................................... 3.2.4 NUMERICAL RESULTS AND THE SPIN FLIP FOR THE EXTENDED HAMILTONIAN . . 3.2.5. PHYSICAL INTERPRETATION OF THE R E S U LTS ..................................................... 3.3 DISCUSSION AND CON CLU SIO N .................................................................................... 1 5 7 8 10 10 13 13 18 19 20 28 33 41 41 44 45 49 51 51 53 61 63 63 65 65 66 68 69 71 72 4. SPIN DECOHERENCE M GRAPHENE QUANTUM DOTS DUE TO HYPERFINE INTERACTION 75 4.1. OVERVIEW ON SPIN DEROEHERENCE IN ^ .............................................................. 75 4.2. HAMILTONIAN AND INITIAL C O N D ITIO N S .................................................................... 78 4.2.1. INITIAL CO N D ITIO N S.......................................................................................... 78 4.2.2 H AM ILTONIAN................................................................................................... 79 4.3. M E TH O D ...................................................................................................................80 4.3.1 NAKAJIMA-ZWANZIG-EQUATION........................................................................80 4.3.2 INVERSE LAPLACE TRA N S FO RM ...........................................................................83 4.4 R ESULTS......................................................................................................................85 4.4.1 INVERSE LAPLACE TRANSFORM OF THE FIRST SPIN CONTRIBUTION ........ 85 4.4.2 INVERSE LAPLACE TRANSFORM OF THE SECOND SPIN CONTRIBUTION ...... 88 4.5. DISCUSSION AND CO NCLUSION....................................................................................90 5. SPIN DYNAMICS N A GRAPHENE QUANTUM DOT WITH FEW NUCLEAR SPINS 93 5.1. M O D E L..................................................................................................................93 5.2. M E TH O D .......................................................................................................................95 5.3. R ESULTS..........................................................................................................................96 5.3.1 THE LONG-TIME AVERAGE OF THE E LE C T* ............................................... 98 5.3.2 DECOHERENCE TIMES OF THE ELECTRON S P I N ................................................... 103 5.4. DISCUSSION AND CO NCLUSION...................................................................................... 106 6. EQUILIBRATION IN CLOSED QUANTUM SYSTEMS: APPLICATONS TO SPIN QUBTS 109 6.1. INTRODUCTION...............................................................................................................109 6.2. BASIC CONCEPTS OF EQUILIBRATION .............................................................................I L L 6.3. EQUILIBRATION B O U N D S ............................................................................................... 113 6.4. APPLICATION TO SPIN MODELS ...................................................................................115 6.4.1 DEFINITION OF THE MODEL ............................................................................ 115 6.4.2. SPIN D Y N A M IC S ............................................................................................ 116 6.4.3 DEPENDENCE ON THE SIZE OF THE NUCLEAR SPIN ENVIRONMENT ....... 119 6.5. DISCUSSION AND CO NCLUSION...................................................................................... 120 CONCLUSION 123 A* THERMAL ELECTRON SPIN FLIP FOR THE EXTENDED HAMILTONIAN 127 .. PROPERTIES OF THE EXTENDED H A M ILTO N IA N ........................................................... 127 .2. DIAGONALIZATION OF THE EXTENDED H A M ILTO N IA N ..................................................128 .3. CALCULATION OF THE PARTITION FU N C TIO N ................................................................... 129 .4. GROUND STATE OF THE H A M ILTO N IA N ......................................................................... 130 B MATRIX ELEMENTS OF THE SELF.ENERGY OF THE NAKAJIMA-ZWANZIG EQUATION ** * C. PROPERTIES OF THE WEAK DSTNGUSHABLITY AND TS BOUNDS 137 C .L . SATURATION OF VARIANCES............................................................................................ 137 C.2. RELATION BETWEEN DISTINGUISHABILITY AND V A R IA N C E ..............................................138 .. INFINITE TIME E S TIM A TE S ............................................................................................ 138 ACRONYMS 141 BBLIOGRAPHY 143 ACKNOWLEDGMENTS 157
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spelling	Fuchs, Moritz Jakob ca. 21. Jh Verfasser (DE-588)110685814X aut Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte vorgelegt von Moritz Jakob Fuchs Spin-Dynamik im zentralen Spin-Modell Würzburg 2016 IX, 157 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Dissertation Julius-Maximilians-Universität Würzburg 2016 Zusammenfassung in deutscher und englischer Sprache Quantenpunkt (DE-588)4263396-5 gnd rswk-swf Elektronenspin (DE-588)4151885-8 gnd rswk-swf Graphen (DE-588)7591667-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Graphen (DE-588)7591667-8 s Quantenpunkt (DE-588)4263396-5 s Elektronenspin (DE-588)4151885-8 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:20-opus-136079 https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-136079 Resolving-System kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029086869&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Fuchs, Moritz Jakob ca. 21. Jh Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte Quantenpunkt (DE-588)4263396-5 gnd Elektronenspin (DE-588)4151885-8 gnd Graphen (DE-588)7591667-8 gnd
subject_GND	(DE-588)4263396-5 (DE-588)4151885-8 (DE-588)7591667-8 (DE-588)4113937-9
title	Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte
title_alt	Spin-Dynamik im zentralen Spin-Modell
title_auth	Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte
title_exact_search	Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte
title_full	Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte vorgelegt von Moritz Jakob Fuchs
title_fullStr	Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte vorgelegt von Moritz Jakob Fuchs
title_full_unstemmed	Spin dynamics in the central spin model Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte vorgelegt von Moritz Jakob Fuchs
title_short	Spin dynamics in the central spin model
title_sort	spin dynamics in the central spin model application to graphene quantum dots spin dynamik im zentralen spin modell anwendung auf graphen quantenpunkte
title_sub	Application to graphene quantum dots = Spin-Dynamik im zentralen Spin-Modell : Anwendung auf Graphen-Quantenpunkte
topic	Quantenpunkt (DE-588)4263396-5 gnd Elektronenspin (DE-588)4151885-8 gnd Graphen (DE-588)7591667-8 gnd
topic_facet	Quantenpunkt Elektronenspin Graphen Hochschulschrift
url	https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-136079 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029086869&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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