Electronic properties of graphene heterostructures with hexagonal crystals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2014
|
| Series: | Springer theses
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIII, 94 S. Ill., graph. Darst. |
| ISBN: | 9783319077215 |
Staff View
MARC
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| 100 | 1 | |a Wallbank, John R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Electronic properties of graphene heterostructures with hexagonal crystals |c John R. Wallbank |
| 264 | 1 | |a Cham [u.a.] |b Springer |c 2014 | |
| 300 | |a XIII, 94 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 502 | |a Zugl.: Lancaster, Univ., Diss. | ||
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| 650 | 4 | |a Surfaces (Physics) | |
| 650 | 4 | |a Physics | |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
I Introduction
........................................ 1
1.1
Introduction
..................................... 1
1.2
Geometry of Monolayer Graphene
...................... 2
1.3
Tight Binding Model for Monolayer Graphene
............. 2
1.4
к
·
ρ
Model for Graphene
............................ 4
1
.5
Symmetries of Graphene
............................ 6
1.5.1
Geometrical Symmetries
....................... 6
1.5.2
Matrix Representation of q,,·»
.................... 6
1.5.3
Symmetries and Degeneracies
................... 8
1.5.4
Time Reversal Symmetry
....................... 9
1.6
Coupling to the Electromagnetic Field
................... 9
.7
Landau Level Spectra
.............................. 10
.8
Spectra of Bilayer Graphene
..........................
Π
.9
Hexagonal Boron Nitride
............................ 12
1.10
The
Moiré
Pattern
................................. 13
.11
The
Moiré
Magnifying Glass
......................... 15
References
.......................................... 17
Monolayer Graphene on a hBN Underlay
................... 19
2.1
Introduction
..................................... 19
2.2 Superlattice Hamiltonian............................ 19
2.3
Generic
Miniband
Spectra of Graphene-hBN
Heterosiructures
................................... 23
2.4
Effect of the
Miniband
Spectra on the Hall Coefficient
....... 25
2.5
Symmetry of the
Moiré
Superlattice.................... 25
2.6
Microscopic Models
................................ 27
2.6.1
Point Charge Model
.......................... 27
2.6.2
Graphene-hBN Hopping Model
.................. 30
2.6.3
Inversion Asymmetric Microscopic Models
.......... 30
2.7
Conclusion
...................................... 31
References
.......................................... 32
хи
Contents
3
Optical Absorption in Graphene-hBN Heterostructures
33
3.1
Introduction
..................................... 33
3.2
Optical Absorption Spectra
........................... 35
3.3
Conclusion
...................................... 38
References
.......................................... 39
4
Fractal Spectrum of Magnetic
Minibands in
Graphene-hBN
Heterostmctures
..................................... 41
4.1
Introduction
..................................... 41
4.2
Magnetic Translational Symmetry and Calculation
of
Zak
s
Magnetic
Minibands.........................
42
4.3
Genene
Features in the Magnetic
Miniband
Spectra
......... 45
4.4
Conclusion
...................................... 49
References
.......................................... 49
5
Experimental Realisation of the Graphene-hBN Heterostructure
. . . 51
References
.......................................... 53
6
Bilayer Graphene on hBN
.............................. 55
6.1
Introduction
..................................... 55
6.2
Moiré
Superlattice Hamiltonian........................ 56
6.3
Symmetries in the
Miniband
Structure
................... 58
6.4
Low-Energy
Hamiltonian
for BLG-hBN Heterostructures
...... 58
6.5
Miniband
Spectra of BLG hBN Heterostructures
............ 59
6.6
Conclusion
...................................... 63
References
.......................................... 63
7
Monolayer Graphene with Almost Commensurate
л/З
χ
л/З
Hexagonal Crystals
............................ 65
7.1
Introduction
..................................... 65
7.2
Phenomenological
Superlattice Hamiltonian............... 66
7.3
Microscopic Models
................................ 67
7.4
Parameter Space of the
Superlattice
Perturbation
............ 68
7.5
Translational Symmetries and Zone Folding
............... 68
7.6
Characteristic
Miniband
Spectra
....................... 69
7.7
Conclusion
...................................... 72
References
.......................................... 72
8
Resonant Tunnelling in Graphene-Insulator-Graphene
Heterostructures
..................................... 75
8.1
Introduction
..................................... 75
8.2
Graphene-Graphene Tunnelling
........................ 76
8.3
Energy and Momentum Conservation
.................... 77
8.4
Electrostatics
..................................... 79
Contents xin
8.5
Tunnelling
m
a Perpendicular Magnetic Field
.............. 80
8.6
Conclusion
...................................... 85
References
.......................................... 85
9
Conclusion
.......................................... 87
References
.......................................... 88
Appendix A: Minibands in the Vicinity of
к
and /¿-Points
of Graphene-hBN Heterostructures
................ 89
Appendix B: Minibands of Graphene with Almost Commensurate
л/З
χ
л/З
Hexagonal Crystals
..................... 93
Appendix C: Graphene-hBN-Graphene Tunnelling
.............. 95
The last decade has witnessed the discovery of> and dramatic progress
in understanding the physics of graphene and related two-dimensional
materials. The development of methods for manufacturing and aligning
high-quality two-dimensional crystals has facilitated the creation of a
new generation of materials: the heterostructures of graphene with hex¬
agonal crystals, in which the graphene electrons acquire new, qualitatively
different properties.
This thesis provides a comprehensive theoretical framework in which to
understand these heterostructures, based on the tight binding model, per¬
turbation theory, group theory and the concept of the moire superlattice
(all of which are elucidated). It explains how graphene heterostructures
provide new opportunities for tailoring band structure, such as creating
additional Dirac points or opening band gaps, and how they manifest
themselves in transport measurements, optical absorption spectra and
the fractal
Hofstadter
spectra. Also considered are the heterostructures of
bilayer graphene and resonant tunneling in aligned graphene/insulator/
graphene devices.
|
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| id | DE-604.BV042145007 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:13:48Z |
| institution | BVB |
| isbn | 9783319077215 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027584905 |
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| physical | XIII, 94 S. Ill., graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer theses |
| spelling | Wallbank, John R. Verfasser aut Electronic properties of graphene heterostructures with hexagonal crystals John R. Wallbank Cham [u.a.] Springer 2014 XIII, 94 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer theses Zugl.: Lancaster, Univ., Diss. Optical materials Surfaces (Physics) Physics (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe 978-3-319-07722-2 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027584905&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027584905&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Wallbank, John R. Electronic properties of graphene heterostructures with hexagonal crystals Optical materials Surfaces (Physics) Physics |
| subject_GND | (DE-588)4113937-9 |
| title | Electronic properties of graphene heterostructures with hexagonal crystals |
| title_auth | Electronic properties of graphene heterostructures with hexagonal crystals |
| title_exact_search | Electronic properties of graphene heterostructures with hexagonal crystals |
| title_full | Electronic properties of graphene heterostructures with hexagonal crystals John R. Wallbank |
| title_fullStr | Electronic properties of graphene heterostructures with hexagonal crystals John R. Wallbank |
| title_full_unstemmed | Electronic properties of graphene heterostructures with hexagonal crystals John R. Wallbank |
| title_short | Electronic properties of graphene heterostructures with hexagonal crystals |
| title_sort | electronic properties of graphene heterostructures with hexagonal crystals |
| topic | Optical materials Surfaces (Physics) Physics |
| topic_facet | Optical materials Surfaces (Physics) Physics Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027584905&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027584905&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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