Dirac fermions in graphene nanostructures: Edge effects on spectral density and quantum transport
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Regensburg
Univ.-Verl.
2012
|
| Edition: | 1. Aufl. |
| Series: | Dissertationsreihe der Fakultät für Physik der Universität Regensburg
25 |
| Subjects: | |
| Online Access: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-228551 Inhaltsverzeichnis |
| Physical Description: | 203 S. graph. Darst. |
| ISBN: | 9783868450842 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 7
2 GRAPHENE AND EFFECTIVE DIRAC THEORY 13
2.1 LATTICE STRUCTURE AND EFFECTIVE HAMILTONIAN 13
2.1.1 GRAPHENE LATTICE AND BAND STRUCTURE 13
2.1.2 EFFECTIVE DIRAC HAMILTONIAN 17
2.2 BOUNDARY CONDITIONS AND ANTIUNITARY SYMMETRIES 19
2.2.1 ANTIUNITARY SYMMETRIES OF THE EFFECTIVE THEORY 19
2.2.2 BOUNDARY CONDITIONS FOR DIRAC FERMIONS IN GRAPHENE 22
2.3 SUMMARY 31
3 GREEN FUNCTION FOR BALLISTIC GRAPHENE STRUCTURES 33
3.1 MULTIPLE REFLECTION EXPANSION 34
3.2 GREEN FUNCTION IN THE SEMICLASSICAL LIMIT 37
3.2.1 RESUMMATION OF SHORT-RANGE PROCESSES 39
3.2.2 PROM QUANTUM PATHS TO CLASSICAL TRAJECTORIES 48
3.3 SUMMARY 51
4 DENSITY OF STATES OF CLOSED GRAPHENE FLAKES 53
4.1 SMOOTH DENSITY OF STATES - WEYL EXPANSION 54
4.1.1 BULK TERM 55
4.1.2 SURFACE TERM 56
4.2 DENSITY OF STATES OSCILLATIONS - TRACE FORMULAE 63
4.2.1 GUTZWILLER TRACE FORMULA FOR CHAOTIC GRAPHENE BILLIARDS 63
4.2.2 REGULAR BILLIARDS - TRACE FORMULAE AND SHELL EFFECTS 66
4.3 DENSITY OF STATES OSCILLATIONS - SPECTRAL STATISTICS OF CHAOTIC
BILLIARDS 79
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1018245049
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
4.3.1 DIAGONAL CONTRIBUTION 83
4.3.2 LOOP CONTRIBUTION 90
4.3.3 EXPLICIT TIME REVERSAL SYMMETRY BREAKING 95
4.4 SUMMARY 97
5 QUANTUM TRANSPORT THROUGH OPEN GRAPHENE CAVITIES 99
5.1 AVERAGE CONDUCTANCE 103
5.1.1 DIAGONAL CONTRIBUTION 104
5.1.2 LOOP CONTRIBUTIONS - WEAK LOCALIZATION 107
5.2 UNIVERSAL CONDUCTANCE FLUCTUATIONS 116
5.3 SHOT NOISE 123
5.4 SUMMARY 125
6 EDGE MAGNETISM IN GRAPHENE QUANTUM DOTS 127
6.1 MODEL 128
6.2 WEAK LOCALIZATION 129
6.3 UNIVERSAL CONDUCTANCE FLUCTUATIONS 141
6.4 SUMMARY 142
7 TRANSPORT SIMULATIONS FOR DISORDERED GRAPHENE NANORIBBONS 145
7.1 PERFECTLY CONDUCTING CHANNELS AND SYMMETRY BREAKING 148
7.2 MAGNETOCONDUCTANCE IN HIGH MAGNETIC FIELDS 154
7.3 SUMMARY 159
8 SUMMARY AND OUTLOOK 161
A APPENDIX 165
A.I BOUNDARY DISCONTINUITY OF THE GREEN FUNCTION 165
A.2 ZIGZAG EDGES IN THE PRESENCE OF EDGE POTENTIALS 167
A.2.1 SOLUTION OF THE DIRAC EQUATION FOR A SINGLE EDGE 167
A.2.2 RESUMMATION OF SHORT-RANGE PROCESSES 168
A.3 QUANTIZATION OF RECTANGULAR GRAPHENE BILLIARDS 171
A.4 TRACE FORMULA FOR THE RECTANGULAR INFINITE MASS BILLIARD 172
A.5 KUBO CONDUCTIVITY FOR GRAPHENE 175
A.5.1 DERIVATION OF THE KUBO CONDUCTIVITY 175
A.5.2 FISHER-LEE RELATION AND LANDAUER FORMULA 178
A.6 EFFECTS OF SMOOTH BULK DISORDER ON THE GREEN FUNCTION 181
A.7 EDGE MAGNETISM - GENERALIZED RESULTS FOR WEAK LOCALIZATION 185
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| spelling | Wurm, Jürgen Verfasser aut Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport Jürgen Wurm 1. Aufl. Regensburg Univ.-Verl. 2012 203 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dissertationsreihe der Fakultät für Physik der Universität Regensburg 25 Zugl.: Regensburg, Univ., Diss., 2011 Graphen (DE-588)7591667-8 gnd rswk-swf Dirac-Operator (DE-588)4150118-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Graphen (DE-588)7591667-8 s Dirac-Operator (DE-588)4150118-4 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:355-epub-228551 Dissertationsreihe der Fakultät für Physik der Universität Regensburg 25 (DE-604)BV035566746 25 http://epub.uni-regensburg.de/22855/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-228551 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024643851&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wurm, Jürgen Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport Dissertationsreihe der Fakultät für Physik der Universität Regensburg Graphen (DE-588)7591667-8 gnd Dirac-Operator (DE-588)4150118-4 gnd |
| subject_GND | (DE-588)7591667-8 (DE-588)4150118-4 (DE-588)4113937-9 |
| title | Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport |
| title_auth | Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport |
| title_exact_search | Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport |
| title_full | Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport Jürgen Wurm |
| title_fullStr | Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport Jürgen Wurm |
| title_full_unstemmed | Dirac fermions in graphene nanostructures Edge effects on spectral density and quantum transport Jürgen Wurm |
| title_short | Dirac fermions in graphene nanostructures |
| title_sort | dirac fermions in graphene nanostructures edge effects on spectral density and quantum transport |
| title_sub | Edge effects on spectral density and quantum transport |
| topic | Graphen (DE-588)7591667-8 gnd Dirac-Operator (DE-588)4150118-4 gnd |
| topic_facet | Graphen Dirac-Operator Hochschulschrift |
| url | http://epub.uni-regensburg.de/22855/ https://nbn-resolving.org/urn:nbn:de:bvb:355-epub-228551 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024643851&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035566746 |
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