Electrical conduction in graphene and nanotubes:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Weinheim
Wiley-VCH
2013
|
Schriftenreihe: | Physics textbook
|
Schlagworte: | |
Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
Beschreibung: | XXII, 284 S. graph. Darst. |
ISBN: | 9783527411511 3527411518 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
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100 | 1 | |a Fujita, Shigeji |e Verfasser |0 (DE-588)136795242 |4 aut | |
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Datensatz im Suchindex
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adam_text |
IMAGE 1
CONTENTS
PREFACE XI PHYSICAL CONSTANTS, UNITS, MATHEMATICAL SIGNS AND SYMBOLS XV
1 INTRODUCTION 1
1.1 CARBON NANOTUBES 1
1.2 THEORETICAL BACKGROUND 4
1.2.1 METALS AND CONDUCTION ELECTRONS 4 1.2.2 QUANTUM MECHANICS 4
1.2.3 HEISENBERG UNCERTAINTY PRINCIPLE 4 1.2.4 BOSONS AND FERMIONS 5
1.2.5 FERMI AND BOSE DISTRIBUTION FUNCTIONS 5 1.2.6 COMPOSITE PARTICLES
6 "1.2.7 QUASIFREE ELECTRON MODEL 6 1.2.8 "ELECTRONS" AND "HOLES" 7
1.2.9 THE GATE FIELD EFFECT 7
1.3 , BOOK LAYOUT 8
1.4 SUGGESTIONS FOR READERS 9
1.4.1 SECOND QUANTIZATION 9 1.4.2 SEMICLASSICAL THEORY OF ELECTRON
DYNAMICS 9 1.4.3 FERMI SURFACE 9
REFERENCES 10
2 KINETIC THEORY AND THE BOLTZMANN EQUATION 11 2.1 DIFFUSION AND THERMAL
CONDUCTION 11 2.2 COLLISION RATE: MEAN FREE PATH 12 2.3 ELECTRICAL
CONDUCTIVITY AND MATTHIESSEN'S RULE 15
2.4 THE HALL EFFECT: "ELECTRONS" AND "HOLES" 17 2.5 THE BOLTZMANN
EQUATION 19
2.6 THE CURRENT RELAXATION RATE 21
REFERENCES 25
3
3.1 3.2
BLOCH ELECTRON DYNAMICS 27 BLOCH THEOREM IN ONE DIMENSION 27 THE
KRONIG-PENNEY MODEL 30
HTTP://D-NB.INFO/1029120579
IMAGE 2
VI | CONTENTS
3.3 BLOCH THEOREM IN THREE DIMENSIONS 33
3.4 FERMI LIQUID MODEL 36
3.5 THE FERMI SURFACE 37
3.6 HEAT CAPACITY AND DENSITY OF STATES 40 3.7 THE DENSITY OF STATE IN
THE MOMENTUM SPACE 42 3.8 EQUATIONS OF MOTION FOR A BLOCH ELECTRON 46
REFERENCES 51
4 PHONONS AND ELECTRON-PHONON INTERACTION 53 4.1 PHONONS AND LATTICE
DYNAMICS 53 4.2 VAN HOVE SINGULARITIES 57
4.2.1 PARTICLES ON A STRETCHED STRING (COUPLED HARMONIC OSCILLATORS) 57
4.2.2 LOW-FREQUENCY PHONONS 59 4.2.3 DISCUSSION 61
4.3 ELECTRON-PHONON INTERACTION 65 4.4 PHONON-EXCHANGE ATTRACTION 71
REFERENCES 75
5 ELECTRICAL CONDUCTIVITY OF MULTIWALLED NANOTUBES 77 5.1 INTRODUCTION
77
5.2 GRAPHENE 78
5.3 LATTICE STABILITY AND REFLECTION SYMMETRY 81 5.4 SINGLE-WALL"
NANOTUBES 84 5.5 MULTIWALLED NANOTUBES 85
5.6 SUMMARY AND DISCUSSION 87
REFERENCES 89
6 SEMICONDUCTING SWNTS 91
6.1 INTRODUCTION 91
6.2 SINGLE-WALL NANOTUBES 93
6.3 SUMMARY AND DISCUSSION 98
REFERENCES 98
7 SUPERCONDUCTIVITY 99
7.1 BASIC PROPERTIES OF A SUPERCONDUCTOR 99 7.1.1 ZERO RESISTANCE 99
7.1.2 MEISSNER EFFECT 100 7.1.3 RING SUPERCURRENT AND FLUX QUANTIZATION
101 7.1.4 JOSEPHSON EFFECTS 102 7.1.5 ENERGY GAP 104
7.1.6 SHARP PHASE CHANGE 104 7.2 OCCURRENCE OF A SUPERCONDUCTOR 105
7.2.1 ELEMENTAL SUPERCONDUCTORS 105 7.2.2 COMPOUND SUPERCONDUCTORS 106
7.2.3 HIGH-T C SUPERCONDUCTORS 107 7.3 THEORETICAL SURVEY 107
7.3.1 THE CAUSE OF SUPERCONDUCTIVITY 107
IMAGE 3
CONTENTS | VII
7.3.2 THE BARDEEN-COOPER-SCHRIEFFER THEORY 108
7.3.3 QUANTUM STATISTICAL THEORY 110 7.4 QUANTUM STATISTICAL THEORY OF
SUPERCONDUCTIVITY 111 7.4.1 THE GENERALIZED BCS HAMILTONIAN 111
7.5 THE COOPER PAIR PROBLEM 114
7.6 MOVING PAIRONS 116
7.7 THE BCS GROUND STATE 119
7.7.1 THE REDUCED GENERALIZED BCS HAMILTONIAN 119 7.7.2 THE GROUND STATE
121
7.8 REMARKS 126
7.8.1 THE NATURE OF THE REDUCED HAMILTONIAN 126 7.8.2 BINDING ENERGY PER
PAIRON 127 7.8.3 THE ENERGY GAP 127
7.8.4 THE ENERGY GAP EQUATION 128 7.8.5 NEUTRAL SUPERCONDENSATE 130
7.8.6 COOPER PAIRS (PAIRONS) 130 7.8.7 FORMATION OF A SUPERCONDENSATE
AND
OCCURRENCE OF SUPERCONDUCTORS 130 7.8.8 BLURRED FERMI SURFACE 131 7.9
BOSE-EINSTEIN CONDENSATION IN 2D 133 7.10 DISCUSSION 137
REFERENCES 139
8 METALLIC (OR SUPERCONDUCTING) SWNTS 141 8.1 INTRODUCTION 141
8.2 GRAPHENE 147
8.3 THE FULL HAMILTONIAN 149
8.4 MOVING PAIRONS 151
8.5 THE BOSE-EINSTEIN CONDENSATION OF PAIRONS 153 8.6 SUPERCONDUCTIVITY
IN METALLIC SWNTS 157 8.7 HIGH-FIELD TRANSPORT IN METALLIC SWNTS 159 8.8
ZERO-BIAS ANOMALY 161
8.9 TEMPERATURE BEHAVIOR AND CURRENT SATURATION 162 8.10 SUMMARY 162
REFERENCES 164
9 MAGNETIC SUSCEPTIBILITY 165
9.1 MAGNETOGYRIC RATIO 165
9.2 PAULI PARAMAGNETISM 167
9.3 THE LANDAU STATES AND LEVELS 170 9.4 LANDAU DIAMAGNETISM 171
REFERENCES 176
10 MAGNETIC OSCILLATIONS 177
10.1 ONSAGER'S FORMULA 177
10.2 STATISTICAL MECHANICAL CALCULATIONS: 3D 181
IMAGE 4
VIII | CONTENTS
10.3 STATISTICAL MECHANICAL CALCULATIONS: 2D 184
10.4 ANISOTROPIC MAGNETORESISTANCE IN COPPER 189 10.4.1 INTRODUCTION 189
10.4.2 THEORY 192
10.4.3 DISCUSSION 194 10.5 SHUBNIKOV-DE HAAS OSCILLATIONS 196 REFERENCES
201
11 QUANTUM HALL.EFFECT 203
11.1 EXPERIMENTAL FACTS 203 11.2 THEORETICAL DEVELOPMENTS 206 11.3
THEORY OF THE QUANTUM HALL EFFECT 208 11.3.1 INTRODUCTION 208
11.3.2 THE MODEL 210 11.3.3 THE INTEGER QHE 212 11.3.4 THE FRACTIONAL
QHE 217 11.4 DISCUSSION 218
REFERENCES 219
12 QUANTUM HALL EFFECT IN GRAPHENE 221 12.1 INTRODUCTION 221
REFERENCES 227
13 SEEBECK COEFFICIENT IN MULTIWALLED CARBON NANOTUBES 229 13.1
INTRODUCTION 229
13.2 CLASSICAL THEORY .OF THE SEEBECK COEFFICIENT IN A METAL 232 13.3
QUANTUM THEORY OF THE SEEBECK COEFFICIENT IN A METAL 235 13.4 SIMPLE
APPLICATIONS 239 13.5 GRAPHENE AND CARBON NANOTUBES 240
13.6 CONDUCTION IN MULTIWALLED CARBON NANOTUBES 242 13.7 SEEBECK
COEFFICIENT IN MULTIWALLED CARBON NANOTUBES 243 REFERENCES 246
14 MISCELLANEOUS 247
14.1 METAL-INSULATOR TRANSITION IN VANADIUM DIOXIDE 247 14.1.1
INTRODUCTION 247 14.2 CONDUCTION ELECTRONS IN GRAPHITE 249 14.3 CORONET
FERMI SURFACE IN BERYLLIUM 250 14.4 MAGNETIC OSCILLATIONS IN BISMUTH 251
REFERENCES 251
APPENDIX 253
A.L SECOND QUANTIZATION 253
A.1.1 BOSON CREATION AND ANNIHILATION OPERATORS 253 A.1.2 OBSERVABLES
256 A.1.3 FERMION CREATION AND ANNIHILATION OPERATORS 257 A.1.4
HEISENBERG EQUATION OF MOTION 259
IMAGE 5
CONTENTS | IX
A.2 EIGENVALUE PROBLEM AND EQUATION-OF-MOTION METHOD 261
A.2.1 ENERGY-EIGENVALUE PROBLEM IN SECOND QUANTIZATION 261 A.2.2
ENERGIES OF QUASIELECTRONS (OR "ELECTRONS") AT 0 K 264 A.3 DERIVATION OF
THE COOPER EQUATION (7.34) 267 A.4 PROOF OF (7.94) 270
A.5 STATISTICAL WEIGHT FOR THE LANDAU STATES 271 A.5.1 THE
THREE-DIMENSIONAL CASE 271 A.5.2 THE TWO-DIMENSIONAL CASE 272 A.6*
DERIVATION OF FORMULAS (11.16)-(11.18) 273
REFERENCES 274
INDEX 275 |
any_adam_object | 1 |
author | Fujita, Shigeji Suzuki, Akira 1949- |
author_GND | (DE-588)136795242 (DE-588)1038700922 |
author_facet | Fujita, Shigeji Suzuki, Akira 1949- |
author_role | aut aut |
author_sort | Fujita, Shigeji |
author_variant | s f sf a s as |
building | Verbundindex |
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dewey-full | 537.62 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 537 - Electricity and electronics |
dewey-raw | 537.62 |
dewey-search | 537.62 |
dewey-sort | 3537.62 |
dewey-tens | 530 - Physics |
discipline | Chemie / Pharmazie Physik |
format | Book |
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institution | BVB |
isbn | 9783527411511 3527411518 |
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spelling | Fujita, Shigeji Verfasser (DE-588)136795242 aut Electrical conduction in graphene and nanotubes Shigeji Fujita and Akira Suzuki Weinheim Wiley-VCH 2013 XXII, 284 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physics textbook Elektronischer Transport (DE-588)4210733-7 gnd rswk-swf Graphen (DE-588)7591667-8 gnd rswk-swf Kohlenstoff-Nanoröhre (DE-588)4581365-6 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Graphen (DE-588)7591667-8 s Kohlenstoff-Nanoröhre (DE-588)4581365-6 s Elektronischer Transport (DE-588)4210733-7 s DE-604 Suzuki, Akira 1949- Verfasser (DE-588)1038700922 aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4216946&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026119608&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Fujita, Shigeji Suzuki, Akira 1949- Electrical conduction in graphene and nanotubes Elektronischer Transport (DE-588)4210733-7 gnd Graphen (DE-588)7591667-8 gnd Kohlenstoff-Nanoröhre (DE-588)4581365-6 gnd |
subject_GND | (DE-588)4210733-7 (DE-588)7591667-8 (DE-588)4581365-6 (DE-588)4123623-3 |
title | Electrical conduction in graphene and nanotubes |
title_auth | Electrical conduction in graphene and nanotubes |
title_exact_search | Electrical conduction in graphene and nanotubes |
title_full | Electrical conduction in graphene and nanotubes Shigeji Fujita and Akira Suzuki |
title_fullStr | Electrical conduction in graphene and nanotubes Shigeji Fujita and Akira Suzuki |
title_full_unstemmed | Electrical conduction in graphene and nanotubes Shigeji Fujita and Akira Suzuki |
title_short | Electrical conduction in graphene and nanotubes |
title_sort | electrical conduction in graphene and nanotubes |
topic | Elektronischer Transport (DE-588)4210733-7 gnd Graphen (DE-588)7591667-8 gnd Kohlenstoff-Nanoröhre (DE-588)4581365-6 gnd |
topic_facet | Elektronischer Transport Graphen Kohlenstoff-Nanoröhre Lehrbuch |
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