Verfügbarkeit: Spin transport in topological insulators and geometrical spin control

Spin transport in topological insulators and geometrical spin control: = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle

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Bibliographische Detailangaben
1. Verfasser:	Rothe, Dietrich Gernot ca. 21. Jh (VerfasserIn)
Format:	Abschlussarbeit Buch
Sprache:	English
Veröffentlicht:	Würzburg 2015
Schlagworte:	Spintronik Elektronischer Transport Topologischer Isolator Hochschulschrift
Online-Zugang:	kostenfrei Inhaltsverzeichnis
Beschreibung:	viii, 199 Seiten Diagramme

Internformat

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246	1	1	\|a Spintransport in topologischen Isolatoren und geometrische Spinkontrolle
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Datensatz im Suchindex

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adam_text	SPIN T RANSPORT IN TOPOLOGICAL INSULATORS AND GEOM ETRICAL SPIN CONTROL D ISSERTATION ZUR ERLANGUNG DES NATURWISSENSCHAFTLICHEN DOKTORGRADES DER JULIUS-M AXIM ILIANS-U NIVERSITAET W UERZBURG VORGELEGT VON DIETRICH GEMOT ROTHE AUS TUEBINGEN WUERZBURG 2015 C ONTENTS 1 INTRODUCTION 1 1 T H EO RY 5 2 ENVELOPE FUNCTION THEORY 6 2.1 K * P T H E O R Y ........................................................................................................................ 6 2.2 ENVELOPE FUNCTION THEORY . . ............................................................................................ 7 2.3 SYMMETRIZATION OF K-LINEAR TERMS IN EFFECTIVE M O D E LS .............................................. 12 2.4 WAVE MATCHING AND LATTICE MODELS FOR ENVELOPE FUNCTIONS........................................ 14 3 THEORY OF INVARIANTS 18 3.1 EFFECTIVE QUADRUPOLE HAMILTONIAN BY SY M M E TRY ....................................................... 25 3.2 RELATION TO STARK EFFECT H AM ILTONIANS............................................................................ 28 4 ADIABATIC THEOREM AND GEOM ETRIC PHASES IN QUANTUM MECHANICS 30 4.1 SEMICLASSICAL THEORY OF WAVE P A C K E TS .......................................................................... 34 4.2 WAVE PACKETS AS METHOD FOR THE **-RELATIVISTIC L I M I T .............................................. 39 5 THEORY OF ELECTRONIC TRANSPORT 45 5.1 THE LANDAUER-BIITTIKER AND NON-EQUILIBRIUM GREENS FUNCTION FORMALISMS . . . . . 45 5.2 GREENS FU N C TIO N S............................................................................................................ 47 5.3 INTERPRETATION OF AND THE FERMI S E A ....................................................................... 50 5.4 THE KINETIC EQUATIONS...................................................................................................... 53 5.5 CALCULATING THE C U R R E N TS ................................................................................................ 55 5.6 TRANSVERSE MODES OF THE LEADS AND THE SCATTERING M A T R I X ........................................ 60 5.7 LEADS GREENS FUNCTION ................................................................................................ 65 6 SHORT INTRODUCTION TO TOPOLOGICAL INSULATORS 70 6.1 QUANTIZATION OF THE HALL CONDUCTIVITY.......................................................................... 71 6.2 TWO-DIMENSIONAL TOPOLOGICAL IN SU LA TO RS....................................................................... 76 II R E SU LTS 85 7 FINGERPRINT OF S O TERM S FOR SPIN TRANSPORT IN HGTE QUANTUM WELLS 86 7.1 EFFECTIVE HAMILTONIAN IN PRESENCE OF ELECTROSTATIC P O TE N TIA LS .................................. 87 7.1.1 DERIVATION OF THE EXTENDED HGTE HAMILTONIAN WITHIN K P THEORY . . . . . 87 7.1.2 SYMMETRY ARGUMENTS FOR THE VALIDITY OF THE EXTENDED HGTE HAMILTONIAN . 93 7.2 FOLDY-WOUTHUYSEN TRANSFORMATION OF THE EFFECTIVE HGTE HAMILTONIAN . . . . . . . 96 7.3 SPIN TRANSPORT WITHIN AN EFFECTIVE ELECTRON M O D E L .................................................... 98 7.3.1 DESCRIPTION OF THE M O D EL................................................................................... 99 7.3.2 NUMERICAL RESULTS FOR THE QUADRATIC SAM PLE....................................................... 102 7.3.3 NUMERICAL RESULTS FOR THE CROSS S A M P LE ............................................................. 105 7.4 C ONCLUSIONS..................................................................................................................... 106 8 A LL-ELECTRIC Q U B IT CON TRO L VIA NON* ABELIAN GEOM ETRIC PHASES 108 8.1 ESTIMATION OF EXPERIMENTAL PARAMETERS IN GAAS QUANTUM D O TS ................................... 114 8.1.1 QUADRUPOLE INDUCED HH/LH SPLITTING IN STRAINED GAAS QUANTUM DOTS . . 116 8.1.2 STABILITY OF THE QUANTUM DOT SETUP AGAINST PERTURBATING POTENTIALS . . . . 120 8.2 SUMMARY AND O U TLO O K ..................................................................................................... 121 9 S P IN -D EP EN D EN T TH E RM O E LE CTRIC TRA N S P O RT IN H G T E/C D T E QU A N TU M WELLS 123 9.1 INTRODUCTION AND OVERVIEW ............................................................................................... 123 9.2 M O D E L................................................................................................................................. 125 9.2.1 H AM ILTONIAN........................................................................................................... 125 9.2.2 LANDAUER BIITTIKER FORMALISM AND THERMOELECTRIC COEFFICIENTS . . . . . . . . 127 9.2.3 MOTT-LIKE RE LA TIO N .................................................................................................. 129 9.3 THERMOELECTRIC TRANSPORT CARRIED BY THE EDGE S TA TE S ......................................................130 9.4 SPIN NERNST EFFECT INDUCED BY BULK STA TE S .......................................................................132 9.4.1 EFFECTIVE TWO-BAND M O D ELS...................................................................................133 9.4.2 HARD WALL BOUNDARY SPIN C U R R E N T ...................................................................... 135 9.4.3 SPIN-NERNST SIGNAL FOR THE BULK METALLIC R E G IM E ..............................................138 9.5 C ONCLUSIONS........................................................................................................................139 10 T UNABLE P O LA RIZ ATIO N N B E A M -SP LITTE R B ASED ON 2 TOPOLOGICAL IN SU LATO RS 140 10.1 INTRODUCTION AND OVERVIEW ............................................................................................... 140 10.2 MODEL AND CHARACTERIZATION OF POLARIZATION.................................................................. 142 10.3 INFINITE N-SO IN TE RFA C E ..................................................................................................... 143 10.4 POLARIZATION IN FINITE SYSTEMS ........................................................................................ 146 10.4.1 SETUP GEOM ETRY..................................................................................................... 147 10.4.2 FORMALISM AND POLARIZATION/CURRENT S IG N A L S ................................................. 149 10.4.3 EFFECTIVE 2-BAND M O D EL.........................................................................................152 10.4.4 VALIDITY OF THE EFFECTIVE M O D E L.............................................................................154 10.5 DETECTION SCH EM E.............................................................................................................. 154 10.6 RELATION BETWEEN SPIN AND H E LIC ITY ................................................................................156 10.7 SUMMARY AND O U TLO O K ............................................................. 157 11 C ONCLUSION 158 A K UBO FORM ULA FOR C O N D U CTIV ITY FROM LIN EAR RESPONSE 163 C H ELICITY OPERATOR IN 4-BAND M ODEL 169 C .L REQUIREMENTS F O R / * ( K ) ..................................................................................................... 169 C.2 SYMMETRY BASED DERIVATION OF H ( K ) ............................................................................. 170 C.3 PROJECTOR BASED DERIVATION OF ^ K ) ............................................................................. 171 C.4 PARTICLE-HOLE SYMMETRY OF S TA TE S ...................................................................................... 172 C.5 USING H(K) IN THE TRANSPORT C O D E ................................................................................... 173 D OBTAINING BIAS-DEPENDENT OBSERVABLES FROM THE S-M ATRIX 174 E CONTINUITY EQUATION AND VANISHING AVERAGE TORQUE 177 F WAVE M ATCHING FOR LATTICE M ODEL 180 BIBLIOGRAPHY 183 ACKNOWLEDGEM ENTS 197 LIST OF PUBLICATIONS 199
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spelling	Rothe, Dietrich Gernot ca. 21. Jh Verfasser (DE-588)1100361073 aut Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle vorgelegt von Dietrich Gernot Rothe aus Tübingen Spintransport in topologischen Isolatoren und geometrische Spinkontrolle Würzburg 2015 viii, 199 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Dissertation Julius-Maximilians-Universität Würzburg 2016 Mit einer Zusammenfassung in deutscher Sprache Spintronik (DE-588)7755384-6 gnd rswk-swf Elektronischer Transport (DE-588)4210733-7 gnd rswk-swf Topologischer Isolator (DE-588)1035519526 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Topologischer Isolator (DE-588)1035519526 s Elektronischer Transport (DE-588)4210733-7 s Spintronik (DE-588)7755384-6 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:20-opus-125628 https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-125628 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=028964899&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rothe, Dietrich Gernot ca. 21. Jh Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle Spintronik (DE-588)7755384-6 gnd Elektronischer Transport (DE-588)4210733-7 gnd Topologischer Isolator (DE-588)1035519526 gnd
subject_GND	(DE-588)7755384-6 (DE-588)4210733-7 (DE-588)1035519526 (DE-588)4113937-9
title	Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle
title_alt	Spintransport in topologischen Isolatoren und geometrische Spinkontrolle
title_auth	Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle
title_exact_search	Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle
title_full	Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle vorgelegt von Dietrich Gernot Rothe aus Tübingen
title_fullStr	Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle vorgelegt von Dietrich Gernot Rothe aus Tübingen
title_full_unstemmed	Spin transport in topological insulators and geometrical spin control = Spintransport in topologischen Isolatoren und geometrische Spinkontrolle vorgelegt von Dietrich Gernot Rothe aus Tübingen
title_short	Spin transport in topological insulators and geometrical spin control
title_sort	spin transport in topological insulators and geometrical spin control spintransport in topologischen isolatoren und geometrische spinkontrolle
title_sub	= Spintransport in topologischen Isolatoren und geometrische Spinkontrolle
topic	Spintronik (DE-588)7755384-6 gnd Elektronischer Transport (DE-588)4210733-7 gnd Topologischer Isolator (DE-588)1035519526 gnd
topic_facet	Spintronik Elektronischer Transport Topologischer Isolator Hochschulschrift
url	https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-125628 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028964899&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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