Graphene quantum dots:
Gespeichert in:
Format: | Buch |
---|---|
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2014
|
Schriftenreihe: | NanoScience and technology
|
Schlagworte: | |
Online-Zugang: | Inhaltstext Inhaltsverzeichnis Klappentext |
Beschreibung: | IX, 172 S. teilw. farb. Ill., graph. Darst. 235 mm x 155 mm |
ISBN: | 3662446103 9783662446102 |
Internformat
MARC
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245 | 1 | 0 | |a Graphene quantum dots |c Alev Devrim Güçlü ; Pawel Potasz ; Marek Korkusinski ; Pawel Hawrylak |
264 | 1 | |a Berlin [u.a.] |b Springer |c 2014 | |
300 | |a IX, 172 S. |b teilw. farb. Ill., graph. Darst. |c 235 mm x 155 mm | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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700 | 1 | |a Potasz, Pawel |e Sonstige |4 oth | |
700 | 1 | |a Korkusinski, Marek |e Sonstige |4 oth | |
700 | 1 | |a Hawrylak, Pawel |e Sonstige |4 oth | |
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Datensatz im Suchindex
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adam_text |
Contents
1
Introduction
.
I
References
. 2
2
Graphene
—
Two-Dimensional Crystal
. 3
2.1
Introduction to Graphene
. 3
2.2
Fabrication of Graphene
. 11
2.2.1
Mechanical Exfoliation
. 11
2.2.2
Chemical Vapor Decomposition
. 12
2.2.3
Thermal Decomposition of SiC
. 12
2.2.4
Reduction of Graphite Oxide (GO)
. 13
2.3
Mechanical Properties
. 13
2.4
Electronic Band Structure of Graphene
. 14
2.4.1
Tight-Binding Model
. 14
2.4.2
Effective Mass Approximation, Dirac
Fermions
and Berry's Phase
. 18
2.4.3
Chirality and Absence of Backscattering
. 21
2.4.4
Bilayer Graphene
. 22
References
. 24
3
Graphene Nanostructures and Quantum Dots
. 29
3.1
Fabrication Methods
. 29
3.2
The Role of Edges
. 32
3.3
Size Quantization Effects
. 35
References
. 36
4
Single-Particle Properties of Graphene Quantum Dots
. 39
4.1
Size, Shape and Edge Dependence of Single Particle
Spectrum
. 39
4.
і
Л
One-Band Empirical Tight-Binding Model
. 39
4.1.2
Effective Mass Model of Graphene Quantum Dots
. 46
VII
viii Contents
4.1.3 Graphene Quantum
Dots in a Magnetic Field
in the Effective Mass Approximation
. 49
4.2
Spin-Orbit Coupling in Graphene Quantum Dots
. 53
4.2.1
Four-Band Tight-Binding Model
. 55
4.2.2
Inclusion of Spin-Orbit Coupling into Four-Band
Tight-Binding Model
. 56
4.2.3
Капе
-Mele
Hamiltonian and Quantum Spin Hall
Effect in Nanoribbons
. 58
4.3
Triangular Graphene Quantum Dots with Zigzag Edges
. 62
4.3.1
Energy Spectrum
. 62
4.3.2
Analytical Solution for Zero-Energy States
. 63
4.3.3
Zero-Energy States in a Magnetic Field
. 68
4.3.4
Classification of States with Respect
to Irreducible Representations of C^v
Symmetry Group
. 68
4.3.5
The Effect of Spin-Orbit Coupling
. 76
4.4
Bilayer Triangular Graphene Quantum Dots
with Zigzag Edges
. 77
4.5
Triangular Mesoscopic Quantum Rings with Zigzag Edges
. 79
4.5.1
Energy Spectrum
. 80
4.6
Hexagonal Mesoscopic Quantum Rings
. 81
4.6.1
Energy Spectrum
. 82
4.7
Nanoribbon Rings
. 86
4.7.1
Möbius
and Cyclic Nanoribbon Rings
. 87
References
. 89
5
Electron-Electron Interactions in Graphene Quantum Dots
. 91
5.1
Introduction
. 91
5.2
Many-Body Hamiltonian
. 93
5.3
Two Body Scattering
—
Coulomb Matrix Elements
. 94
5.4
Mean-Field Hartree-Fock Approximation
. 95
5.4.
i Hartree-Fock
State in Graphene Quantum Dots
. 96
5.4.2
Semimetal-Mott Insulator Transition in Graphene
Quantum Dots
. 99
5.4.3
Hubbard Model
—
Mean-Field Approximation
. 100
5.5 Ab Inito
Density Functional Approach
. 101
5.6
Configuration Interaction Method
. 103
5.6.1
Many-Body Configurations
. 103
5.6.2
Diagonal ization Methods tor Large Matrices
. 106
5.7
TB+HF+CI Method
. 107
References
. 108
Contente
ix
6
Magnetic Properties of Gated Graphene Nanostructures
.
Ill
6.1
Triangular Graphene Quantum Dots with Zigzag Edges
.
Ill
6.1.1
Filling Factor Dependence of the Total Spin
of TGQD
.
Ill
6.1.2
Size Dependence of Magnetic Properties of TGQD:
Excitons, Trions
and
Lieb
's
Theorem
. 114
6.1.3
Pair-Correlation Function of Spin Depolarized States.
. 119
6.1.4
Coulomb and Spin Blockades in TGQD
. 120
6.1.5
Comparison of Hubbard, Extended Hubbard
and Full
CI
Results
. 122
6.1.6
Edge Stability from
Ab Initio
Methods
. 125
6.2
Bilayer Triangular Graphene Quantum Dots
with Zigzag Edges
. 130
6.3
Triangular Mesoscopic Quantum Rings with Zigzag Edges
. 132
6.3.1
Properties of the Charge-Neutral TGQR
. 133
6.3.2
Filling Factor Dependence of Mesoscopic TGQRs
. 136
6.4
Hexagonal Mesoscopic Quantum Rings
. 138
6.4.1
Dependence of Magnetic Moment in Hexagonal
GQRs on Size
. 138
6.4.2
Analysis as a Function of Filling Factor
. 140
6.5
Nanoribbon Rings
. 140
References
. 143
7
Optical Properties of Graphene Nanostructures
. 145
7.1
Size, Shape and Type of Edge Dependence
of the Energy Gap
. 145
7.2
Optical Joint Density of States
. 147
7.3
Triangular Graphene Quantum Dots With Zigzag Edges
. 149
7.3.1
Excitons
in Graphene Quantum Dots
. 149
7.3.2
Charged
Excitons
in Interacting Charged
Quantum Dots
. 152
7.3.3
Terahertz Spectroscopy of Degenerate Shell
. 152
7.4
Optical Spin Blockade and Optical Control of Magnetic
Moment in Graphene Quantum Dots
. 154
7.5
Optical Properties of Colloidal Graphene Quantum Dots
. 159
7.5.1
Optical Selection Rules for Triangular Graphene
Quantum Dots
. 159
7.5.2
Band-edge Exciton
. 162
7.5.3
Low-Energy Absorption Spectrum
. 164
7.5.4
Effects of Screening
к
and Tunneling
t
. 164
7.5.5
Comparison With Experiment
. 167
References
. 168
Index
. 169
NanoScience and Technology
Alev
Devrim
Gücíü
·
Pawei
Potasz
■
Marek
Korkusinski ·
Pawei Hawryíak
Graphene Quantum
Dots
This book reflects the current status of theoretical and experimental research of
graphene based nanostructures, in particular quantum dots, at a level accessible to
young researchers, graduate students, experimentalists and theorists, it presents the
current state of research of graphene quantum dots, a single or few monolayer thick
islands of graphene. it introduces the reader to the electronic and optical properties of
graphite, intercalated graphite and graphene, including
D
i rac
fermions,
Berry's
phase
associated with sublattices and valley degeneracy, covers single particle properties of
graphene quantum dots, electron-electron interaction, magnetic properties and optical
properties of gated graphene nanostructures. The electronic, optical and magnetic
properties of the graphene quantum dots as a function of size, shape, type of edge
and carrier density are considered. Special attention is paid to the understanding of
edges and the emergence of edge states for zigzag edges, Atomistic tight binding and
effective mass approaches to single particle calculations are performed. Furthermore»
the theoretical and numerical treatment of electron-eiectron interactions at the mean-
field,
HF, D
FT and configuration-interaction level is described in detail. |
any_adam_object | 1 |
building | Verbundindex |
bvnumber | BV042117112 |
classification_rvk | UP 3150 |
ctrlnum | (OCoLC)885038963 (DE-599)DNB1054230242 |
dewey-full | 537.6226 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 537 - Electricity and electronics |
dewey-raw | 537.6226 |
dewey-search | 537.6226 |
dewey-sort | 3537.6226 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Book |
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physical | IX, 172 S. teilw. farb. Ill., graph. Darst. 235 mm x 155 mm |
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spelling | Graphene quantum dots Alev Devrim Güçlü ; Pawel Potasz ; Marek Korkusinski ; Pawel Hawrylak Berlin [u.a.] Springer 2014 IX, 172 S. teilw. farb. Ill., graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier NanoScience and technology Graphen (DE-588)7591667-8 gnd rswk-swf Quantenpunkt (DE-588)4263396-5 gnd rswk-swf Graphen (DE-588)7591667-8 s Quantenpunkt (DE-588)4263396-5 s DE-604 Güçlü, Alev Devrim Sonstige oth Potasz, Pawel Sonstige oth Korkusinski, Marek Sonstige oth Hawrylak, Pawel Sonstige oth Erscheint auch als Online-Ausgabe 978-3-662-44611-9 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4727558&prov=M&dok_var=1&dok_ext=htm Inhaltstext 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=027557417&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=027557417&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
spellingShingle | Graphene quantum dots Graphen (DE-588)7591667-8 gnd Quantenpunkt (DE-588)4263396-5 gnd |
subject_GND | (DE-588)7591667-8 (DE-588)4263396-5 |
title | Graphene quantum dots |
title_auth | Graphene quantum dots |
title_exact_search | Graphene quantum dots |
title_full | Graphene quantum dots Alev Devrim Güçlü ; Pawel Potasz ; Marek Korkusinski ; Pawel Hawrylak |
title_fullStr | Graphene quantum dots Alev Devrim Güçlü ; Pawel Potasz ; Marek Korkusinski ; Pawel Hawrylak |
title_full_unstemmed | Graphene quantum dots Alev Devrim Güçlü ; Pawel Potasz ; Marek Korkusinski ; Pawel Hawrylak |
title_short | Graphene quantum dots |
title_sort | graphene quantum dots |
topic | Graphen (DE-588)7591667-8 gnd Quantenpunkt (DE-588)4263396-5 gnd |
topic_facet | Graphen Quantenpunkt |
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