Quantum transport in nanostructures: from computational concepts to spintronics in graphene and magnetic tunnel junctions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Regensburg
Univ.-Verl. Regensburg
2009
|
| Ausgabe: | 1. Aufl. |
| Schriftenreihe: | Dissertationsreihe der Fakultät für Physik der Universität Regensburg
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Volltext Volltext Inhaltsverzeichnis |
| Beschreibung: | IV, 250 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9783868450255 |
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Datensatz im Suchindex
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CONTENTS 1 INTRODUCTION 1 1.1 BEYOND MOORE'S LAW 1 1.2 THE NEED FOR
NUMERICS 4 1.3 OUTLINE 5 1 COMPUTATIONAL CONCEPTS: A GENERIC APPROACH TO
TRANS- PORT IN TIGHT-BINDING MODEIS 9 2 GREEN'S FUNCTION FORMALISM FOR
TRANSPORT 13 2.1 INTRODUCTION 13 2.2 BASIC DEFINITIONS 14 2.3 GREEN'S
FUNCTIONS OF NON-INTERACTING SYSTEMS 19 2.4 NON-EQUILIBRIUM PERTURBATION
THEORY 24 2.4.1 THE NEED FOR A NON-EQUILIBRIUM THEORY 24 2.4.2
CONTOUR-ORDERED GREEN'S FUNCTION THEORY 26 2.4.3 REAL-TIME FORMULATION
30 2.5 TRANSPORT IN TIGHT-BINDING MODEIS 33 2.5.1 GREEN'S FUNCTIONS IN
TIGHT-BINDING 33 2.5.2 TRANSPORT EQUATIONS 34 2.5.3 CONNECTION WITH THE
SCATTERING FORMALISM 39 2.6 CHALLENGES FOR A NUMERICAL IMPLEMENTATION 43
3 LEAD GREEN'S FUNCTIONS 45 3.1 INTRODUCTION 45 3.2 A GENERAL EXPRESSION
FOR THE LEAD GREEN'S FUNCTION 48 3.2.1 GREEN'S FUNCTION OF THE INFINITE
WIRE 48 3.2.2 ZEROESOF ( + IR;-//O)2-HI2 2 -//_I 50 3.2.3 THE ROLE OF
DEGENERATE MODES 53 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/99420826X DIGITALISIERT DURCH II CONTENTS 3.2.4 SOLVING
THE CONTOUR INTEGRAL 55 3.3 A MORE STABLE ALGORITHM BASED ON THE SCHUR
DECOMPOSITION 57 3.3.1 FAILURE OF THE EIGENDECOMPOSITION BASED ALGORITHM
57 3.3.2 SURFACE GREEN'S FUNCTION FROM THE SCHUR DECOMPOSITION 61 3.3.3
NUMERICAL STABILITY 64 3.3.4 EXAMPLES 65 3.4 SUMMARY 66 OPTIMAL
BLOCK-TRIDIAGONALIZATION OF MATRICES FOR QUANTUM TRANSPORT 69 4.1
INTRODUCTION 69 4.2 DEFINITION OF THE PROBLEM 72 4.2.1 DEFINITION OF THE
MATRIX REORDERING PROBLEM 72 4.2.2 MAPPING ONTO A GRAPH PARTITIONING
PROBLEM 73 4.3 OPTIMAL MATRIX REORDERING BY GRAPH PARTITIONING 75 4.3.1
A LOCAL APPROACH*BREADTH FIRST SEARCH 75 4.3.2 A GLOBAL
APPROACH*RECURSIVE BISECTION 77 4.3.3 COMPUTATIONAL COMPLEXITY 83 4.4
EXAMPLES: CHARGE TRANSPORT IN TWO-DIMENSIONAL SYSTEMS 83 4.4.1 BALLISTIC
TRANSPORT IN TWO-TERMINAL DEVICES 83 4.4.2 MULTI-TERMINAL STRUCTURES 90
4.5 SUMMARY 92 II SPINTRONICS IN GRAPHENE AND MAGNETIC TUNNEL JUNCTIONS
95 5 MAGNETIC FIELD EFFECTS ON TUNNELING ANISOTROPIC MAGNETORESISTANCE
99 5.1 INTRODUCTION 99 5.2 MAGNETIC FIELD DEPENDENCE OF TAMR 101 5.2.1
MODEL 101 5.2.2 NUMERICAL RESULTS 105 5.2.3 A QUALITATIVE PICTURE 105
5.3 SUMMARY 111 6 THE GRAPHENE EDGE STATE 113 6.1 INTRODUCTION 113 6.2
FUNDAMENTALS OF GRAPHENE 114 6.2.1 GRAPHENE HAMILTONIAN 114 6.2.
CONTENTS III 6.4 EDGE STATE TRANSPORT IN ZIGZAG NANORIBBONS 131 6.4.1
MODEL-DEPENDENCE OF EDGE STATE TRANSPORT*SOME PECULIAR EXAM- PLES 131
6.4.2 WHERE DOES THE CURRENT FIOW? 135 6.4.3 EFFECTS OF PERTURBATIONS ON
THE CURRENT FLOW 139 6.4.4 SCATTERING FROM EDGE DEFECTS 145 6.5 SUMMARY
148 EDGE STATE BASED SPINTRONICS IN GRAPHENE 149 7.1 INTRODUCTION 149
7.2 MEAN-FIELD MODEL FOR EDGE-STATE MAGNETISM 151 7.3 SPIN CURRENTS IN
ROUGH GRAPHENE NANORIBBONS 154 7.3.1 BASIC IDEAS 154 7.3.2 SPIN
CONDUCTANCE OF ROUGH GRAPHENE NANORIBBONS 155 7.3.3 UNIVERSAL SPIN
CONDUCTANCE FLUCTUATIONS 160 7.3.4 ALL-ELECTRICAL DETECTION OF EDGE
MAGNETISM 164 7.4 EDGE-STATE INDUCED SPIN HALL EFFECT 165 7.4.1
SPIN-DEPENDENT DEFLECTION OF THE EDGE STATE 165 7.4.2 PURE SPIN CURRENTS
IN GRAPHENE MICRO-BRIDGES 168 7.5 SUMMARY 172 SUMMARY AND PERSPECTIVES
173 8.1 SUMMARY 173 8.2 OUTLOOK 175 APPENDIX 177 A OBSERVABLES IN
TIGHT-BINDING 177 A.L SINGLE-PARTICLE OPERATORS IN TIGHT-BINDING 177 A.2
OBSERVABLES IN TERMS OF GREEN'S FUNCTIONS 179 B THE RECURSIVE GREEN'S
FUNCTION METHOD 183 B.L BASIC PRINCIPLES 183 B.2 SUMMARY OF ALGORITHMS
187 B.3 COMPUTATIONAL COMPLEXITY AND IMPLEMENTATION 189 C GENERALIZED
FISHER-LEE RELATION 191 C. IV CONTENTS D DETAILS OF THE DERIVATION OF
THE LEAD GREEN'S FUNCTION 201 D.L \(E + IRJ) FOR PROPAGATING MODES 201
D.2 DERIVATION OF EQ. (3.27) 203 D.3 SUMMARY OF THE NUMERICAL ALGORITHMS
205 D.3.1 EIGENDECOMPOSITION BASED ALGORITHMS 205 D.3.2 SCHUR
DECOMPOSITION BASED ALGORITHMS 206 E THE FIDUCCIA-MATTHEYSES ALGORITHM
209 E.L GRAPHS AND HYPERGRAPHS 209 E.2 FIDUCCIA-MATTHEYSES BISECTION 210
F THE METHOD OF FLNITE DIFFERENCES 211 F.L BASIC IDEAS 211 F.2 EXAMPLE
212 F.3 FINITE DIFFERENCES FORM OF THE HAMILTONIAN 213 F.4 BLOCH'S
THEOREM AND PERIODIC BOUNDARY CONDITIONS 215 G TIGHT-BINDING MODEL FOR
GRAPHENE 217 G.L LATTICE STRUCTURE 217 G.2 ELECTRONIC STRUCTURE 219
G.2.1 TIGHT-BINDING MODEL 219 G.2.2 BAND STRUCTURE IN TIGHT-BINDING
APPROXIMATION 222 G.2.3 EFFECTIVE HAMILTONIAN 226 G.3 GRAPHENE
NANORIBBONS 229 G.3.1 BAND STRUCTURE 229 G.3.2 BOUNDARY CONDITIONS 230
REFERENCES 233 |
| any_adam_object | 1 |
| author | Wimmer, Michael |
| author_facet | Wimmer, Michael |
| author_role | aut |
| author_sort | Wimmer, Michael |
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| ctrlnum | (OCoLC)430525592 (DE-599)DNB99420826X |
| dewey-full | 530.133 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.133 |
| dewey-search | 530.133 |
| dewey-sort | 3530.133 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| spelling | Wimmer, Michael Verfasser aut Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions vorgelegt von Michael Wimmer 1. Aufl. Regensburg Univ.-Verl. Regensburg 2009 IV, 250 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Dissertationsreihe der Fakultät für Physik der Universität Regensburg 5 Zugl.: Regensburg, Univ., Diss., 2008 Transportprozess (DE-588)4185932-7 gnd rswk-swf Magnetoelektronik (DE-588)4532095-0 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Tunnelkontakt (DE-588)4297371-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Transportprozess (DE-588)4185932-7 s Tunnelkontakt (DE-588)4297371-5 s Magnetoelektronik (DE-588)4532095-0 s Green-Funktion (DE-588)4158123-4 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-opus-11506 Dissertationsreihe der Fakultät für Physik der Universität Regensburg 5 (DE-604)BV035566746 5 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3302734&prov=M&dok_var=1&dok_ext=htm Inhaltstext 8461 KB https://epub.uni-regensburg.de/12142/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-opus-11506 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=017645066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wimmer, Michael Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions Dissertationsreihe der Fakultät für Physik der Universität Regensburg Transportprozess (DE-588)4185932-7 gnd Magnetoelektronik (DE-588)4532095-0 gnd Green-Funktion (DE-588)4158123-4 gnd Tunnelkontakt (DE-588)4297371-5 gnd |
| subject_GND | (DE-588)4185932-7 (DE-588)4532095-0 (DE-588)4158123-4 (DE-588)4297371-5 (DE-588)4113937-9 |
| title | Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions |
| title_auth | Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions |
| title_exact_search | Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions |
| title_full | Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions vorgelegt von Michael Wimmer |
| title_fullStr | Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions vorgelegt von Michael Wimmer |
| title_full_unstemmed | Quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions vorgelegt von Michael Wimmer |
| title_short | Quantum transport in nanostructures |
| title_sort | quantum transport in nanostructures from computational concepts to spintronics in graphene and magnetic tunnel junctions |
| title_sub | from computational concepts to spintronics in graphene and magnetic tunnel junctions |
| topic | Transportprozess (DE-588)4185932-7 gnd Magnetoelektronik (DE-588)4532095-0 gnd Green-Funktion (DE-588)4158123-4 gnd Tunnelkontakt (DE-588)4297371-5 gnd |
| topic_facet | Transportprozess Magnetoelektronik Green-Funktion Tunnelkontakt Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3302734&prov=M&dok_var=1&dok_ext=htm https://epub.uni-regensburg.de/12142/ https://nbn-resolving.org/urn:nbn:de:bvb:355-opus-11506 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017645066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035566746 |
| work_keys_str_mv | AT wimmermichael quantumtransportinnanostructuresfromcomputationalconceptstospintronicsingrapheneandmagnetictunneljunctions |