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1 | (14) |
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1 | (6) |
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7 | (3) |
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10 | (5) |
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11 | (4) |
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Part I Metrology and Synthesis |
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2 Raman Spectroscopy: Characterization of Edges, Defects, and the Fermi Energy of Graphene and sp2 Carbons |
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15 | (42) |
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2.1 Introduction to the Resonance Raman Spectra of Graphene |
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15 | (7) |
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2.1.1 The Raman Spectra of sp2 Carbons |
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16 | (2) |
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2.1.2 Edge Structure of Graphene |
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18 | (1) |
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2.1.3 The Multiple-Resonance Raman Scattering Process |
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18 | (3) |
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2.1.4 Concept of the Kohn Anomaly |
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21 | (1) |
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2.1.5 Introduction to Near-Field Raman Spectroscopy |
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22 | (1) |
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2.2 Characterization of Defects |
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22 | (7) |
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2.2.1 Point Defects Induced by Ion Bombardment |
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23 | (1) |
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2.2.2 Model for the D-Band Activated Region |
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24 | (2) |
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2.2.3 Line Defects at the Edges of Nanographene |
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26 | (3) |
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2.3 Characterization of Edges |
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29 | (11) |
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2.3.1 Overview of Graphene Edges |
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29 | (1) |
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2.3.2 The Characterization of Graphene Edges from Their D-Band Scattering |
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30 | (4) |
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2.3.3 Mode assignments of the Raman Spectra of Graphene Nanoribbons |
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34 | (4) |
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2.3.4 Polarization Dependence of the Raman Intensity |
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38 | (2) |
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2.4 The Fermi Energy Dependence: The Kohn Anomaly |
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40 | (4) |
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2.4.1 Effect of Gate Doping on the G-Band of Single-Layer Graphene |
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40 | (2) |
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2.4.2 Effect of Gate Doping on the G Band of Double-Layer Graphene |
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42 | (2) |
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2.5 Near-Field Raman Spectroscopy |
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44 | (5) |
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2.5.1 The Spatial Resolution in Optical Microscopes |
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45 | (1) |
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2.5.2 The Principle of TERS |
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45 | (1) |
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2.5.3 Mechanism of Near-Field Enhancement |
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46 | (1) |
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2.5.4 Application to Carbon Nanotubes |
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47 | (2) |
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2.6 Summary and Perspective |
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49 | (8) |
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53 | (4) |
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3 Scanning Tunneling Microscopy and Spectroscopy of Graphene |
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57 | (36) |
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57 | (1) |
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58 | (3) |
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61 | (1) |
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3.4 Hallmarks of Graphene in STM/STS |
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61 | (5) |
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3.5 Line Shape of Landau Levels |
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66 | (1) |
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3.6 Electron-phonon Coupling |
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67 | (2) |
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3.7 Coupling Between Graphene Layers |
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69 | (2) |
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3.8 Twist Between Graphene Layers |
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71 | (6) |
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3.8.1 Appearance of Moire Pattern |
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72 | (1) |
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3.8.2 Saddle Point Van Hove Singularities |
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73 | (1) |
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3.8.3 Single Layer-like Behavior and Velocity Renormalization |
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73 | (4) |
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77 | (4) |
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3.9.1 Three Types of Corrugations |
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77 | (2) |
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3.9.2 Scanning Tunneling Spectroscopy |
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79 | (1) |
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3.9.3 Quantum Interference and Fermi Velocity |
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79 | (1) |
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3.9.4 Trapped Charges in SiO2 |
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80 | (1) |
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3.10 Edges, Defects and Magnetism |
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81 | (1) |
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3.11 SPM-based Nano-lithography |
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82 | (5) |
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3.11.1 Signs of Invasiveness of an STM Tip |
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83 | (1) |
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3.11.2 Folding Graphene Layers |
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83 | (1) |
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3.11.3 Cutting Graphene Layers |
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84 | (1) |
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3.11.4 Surface Modification |
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85 | (2) |
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3.12 Summary and Perspectives |
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87 | (6) |
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88 | (5) |
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4 The Electronic Properties of Adsorbates on Graphene |
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93 | (42) |
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4.1 Introduction: What Are Adsorbates on Graphene Good for? |
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93 | (3) |
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4.2 Angle-Resolved Photoemission Spectroscopy |
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96 | (6) |
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96 | (1) |
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4.2.2 Band Structure Determination of Graphene |
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96 | (3) |
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4.2.3 Self-energy Determination |
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99 | (3) |
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4.3 The "Zoology" of Adsorbates |
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102 | (8) |
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4.3.1 Adsorption of Nontransition-Metal Atoms |
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103 | (4) |
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4.3.2 Adsorption of Transition Metal Atoms |
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107 | (3) |
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4.4 Adsorbate-Graphene Interactions: General Symmetry Considerations |
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110 | (2) |
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4.5 Hydrogen on Graphene As a Prototype Adsorbate System |
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112 | (6) |
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112 | (2) |
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4.5.2 Hydrogen on Graphene: Experimental Evidence for Anderson Localization |
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114 | (4) |
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4.6 Potassium on Graphene: The Coulomb Interaction in Graphene, Revealed |
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118 | (6) |
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4.6.1 K Adsorption on Epitaxial Graphene on SiC(0001) |
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118 | (2) |
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4.6.2 K Adsorption on Quasi-free-Standing Epitaxial Graphene on SiC(0001) |
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120 | (4) |
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4.7 Calcium Adsorption: Superconducting Instability of Graphene |
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124 | (4) |
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4.8 Conclusions and Outlook |
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128 | (7) |
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129 | (6) |
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5 Epitaxial Graphene on SiC(0001) |
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135 | (26) |
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135 | (2) |
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5.2 Silicon Carbide and Its Polar Surfaces |
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137 | (1) |
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5.3 Growth of Epitaxial Graphene on SiC(0001) in Ultra-High Vacuum |
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138 | (2) |
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5.4 The (6√3 x 6√3)R30° Reconstruction |
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140 | (3) |
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5.5 Electronic Structure of Monolayer and Bilayer Graphene at the K-point |
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143 | (3) |
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5.6 State-of-the Art Graphene Growth in Argon Atmosphere |
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146 | (3) |
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5.7 Transport Properties of Graphene on SiC(0001) |
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149 | (3) |
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5.8 Engineering the Interface Between Graphene and SiC(0001) by Hydrogen Intercalation |
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152 | (3) |
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155 | (6) |
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155 | (6) |
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6 Magneto-Transport on Epitaxial Graphene |
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161 | (28) |
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161 | (2) |
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6.2 Epitaxial Graphene Synthesis |
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163 | (5) |
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6.3 Dielectric Integration on Epitaxial Graphene |
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168 | (1) |
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6.4 Top-Gate Graphene Field-Effect Transistors |
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169 | (3) |
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6.5 Half-Integer Quantum Hall-Effect in Epitaxial Graphene |
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172 | (6) |
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6.6 Ballistic and Coherent Transport on Epitaxial Graphene |
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178 | (5) |
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6.7 Spin Transport on Epitaxial Graphene |
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183 | (2) |
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185 | (4) |
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185 | (4) |
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7 Epitaxial Graphene on Metals |
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189 | (48) |
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189 | (4) |
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7.2 Methods of Graphene Preparation on Metal Surfaces |
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193 | (1) |
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194 | (3) |
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7.4 Graphene on Lattice-Matched 3d-Metal Surfaces |
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197 | (12) |
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7.4.1 Atomic Structure of Graphene Layer on Ni(111) and Co(0001) |
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198 | (2) |
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7.4.2 Electronic Structure of Graphene on Lattice-Matched Surfaces |
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200 | (6) |
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7.4.3 Magnetism of Graphene on the Ni(111) Surface |
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206 | (3) |
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7.5 Graphene on Lattice-Mismatched 4d, 5d-Metal Surfaces |
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209 | (9) |
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7.5.1 Structure of Graphene on Ir(111), Ru(0001), and Rh(111) |
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210 | (4) |
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7.5.2 Electronic Structure of Graphene on Lattice-Mismatched Surfaces |
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214 | (4) |
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7.6 Hybrid Structures on the Basis of Graphene Layers on Metal Surfaces |
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218 | (10) |
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7.6.1 Intercalation-like Systems |
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219 | (3) |
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7.6.2 Growth of Noble Metal Clusters on Graphene Moire |
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222 | (3) |
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7.6.3 Growth of Magnetic Metal Clusters on Graphene Moire |
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225 | (1) |
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7.6.4 Chemical Functionalization of Graphene on Transition Metal Surfaces |
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226 | (2) |
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7.7 Conclusions and Outlook |
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228 | (9) |
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230 | (7) |
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Part II Electronic-structure and Transport Properties |
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8 Electronic Properties of Monolayer and Bilayer Graphene |
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237 | (40) |
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237 | (1) |
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8.2 The Crystal Structure of Monolayer Graphene |
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238 | (2) |
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8.2.1 The Real Space Structure |
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238 | (1) |
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8.2.2 The Reciprocal Lattice of Graphene |
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239 | (1) |
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8.2.3 The Atomic Orbitals of Graphene |
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239 | (1) |
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8.3 The Tight-Binding Model |
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240 | (2) |
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8.4 The Tight-Binding Model of Monolayer Graphene |
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242 | (6) |
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8.4.1 Diagonal Matrix Elements |
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242 | (2) |
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8.4.2 Off-Diagonal Matrix Elements |
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244 | (2) |
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8.4.3 The Low-Energy Electronic Bands of Monolayer Graphene |
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246 | (2) |
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8.5 Massless Chiral Quasiparticles in Monolayer Graphene |
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248 | (3) |
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8.5.1 The Dirac-Like Hamiltonian |
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248 | (1) |
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8.5.2 Pseudospin and Chirality in Graphene |
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249 | (2) |
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8.6 The Tight-Binding Model of Bilayer Graphene |
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251 | (3) |
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8.7 Massive Chiral Quasiparticles in Bilayer Graphene |
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254 | (4) |
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8.7.1 The Low-Energy Bands of Bilayer Graphene |
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254 | (1) |
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8.7.2 The Two-Component Hamiltonian of Bilayer Graphene |
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255 | (1) |
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8.7.3 Pseudospin and Chirality in Bilayer Graphene |
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256 | (2) |
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8.8 The Integer Quantum Hall Effect in Graphene |
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258 | (5) |
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8.8.1 The Landau Level Spectrum of Monolayer Graphene |
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258 | (2) |
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8.8.2 The Integer Quantum Hall Effect in Monolayer Graphene |
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260 | (1) |
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8.8.3 The Landau Level Spectrum of Bilayer Graphene |
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261 | (1) |
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8.8.4 The Integer Quantum Hall Effect in Bilayer Graphene |
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262 | (1) |
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8.9 Trigonal Warping in Graphene |
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263 | (3) |
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8.9.1 Trigonal Warping in Monolayer Graphene |
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263 | (1) |
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8.9.2 Trigonal Warping and Lifshitz Transition in Bilayer Graphene |
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264 | (2) |
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8.10 Tuneable Band Gap in Bilayer Graphene |
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266 | (6) |
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8.10.1 Asymmetry Gap in the Band Structure of Bilayer Graphene |
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266 | (2) |
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8.10.2 Self-Consistent Model of Screening in Bilayer Graphene |
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268 | (4) |
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272 | (5) |
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273 | (4) |
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9 Electronic Properties of Graphene Nanoribbons |
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277 | (24) |
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277 | (2) |
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9.2 Electronic States of Graphene |
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279 | (8) |
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9.2.1 Tight-Binding Model and Edge States |
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281 | (3) |
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9.2.2 Massless Dirac Equation |
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284 | (2) |
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9.2.3 Edge Boundary Condition and Intervalley Scattering |
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286 | (1) |
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9.3 Electronic Transport Properties |
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287 | (6) |
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9.3.1 One-Way Excess Channel System |
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288 | (3) |
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9.3.2 Model of Impurity Potential |
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291 | (1) |
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9.3.3 Perfectly Conducting Channel: Absence of Anderson Localization |
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291 | (2) |
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293 | (3) |
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9.4.1 Graphene Nanoribbons with Generic Edge Structures |
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294 | (2) |
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9.5 Transport Properties Through Graphene Nanojunction |
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296 | (1) |
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297 | (4) |
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298 | (3) |
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10 Mesoscopics in Graphene: Dirac Points in Periodic Geometries |
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301 | (24) |
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303 | (7) |
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303 | (1) |
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10.1.2 Zigzag Nanoribbons |
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304 | (3) |
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10.1.3 Armchair Nanoribbons |
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307 | (3) |
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10.2 Graphene Quantum Rings |
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310 | (7) |
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10.2.1 Chirality in Armchair Nanoribbons |
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311 | (1) |
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10.2.2 Phase Jumps at Corner Junctions |
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312 | (2) |
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314 | (3) |
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10.3 Graphene in a Periodic Potential |
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317 | (5) |
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10.3.1 Counting Dirac Points |
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317 | (3) |
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10.3.2 Numerical Solutions of the Dirac Equation |
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320 | (1) |
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320 | (2) |
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322 | (3) |
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322 | (3) |
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11 Electronic Properties of Multilayer Graphene |
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325 | (32) |
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325 | (2) |
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11.1.1 Stacking Arrangements |
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326 | (1) |
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11.1.2 π-Orbital Continuum Model |
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327 | (1) |
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11.2 Energy Band Structure |
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327 | (9) |
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327 | (1) |
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11.2.2 Monolayer Graphene |
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328 | (1) |
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329 | (2) |
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331 | (2) |
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333 | (1) |
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11.2.6 Arbitrary Stacking |
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334 | (2) |
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11.3 Landau-Level Spectrum |
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336 | (5) |
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336 | (1) |
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336 | (1) |
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337 | (2) |
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339 | (1) |
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11.3.5 Arbitrary Stacking |
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339 | (2) |
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11.4 Low-Energy Effective Theory |
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341 | (7) |
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341 | (1) |
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11.4.2 Pseudospin Hamiltonian |
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341 | (1) |
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342 | (1) |
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11.4.4 Partitioning Rules |
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342 | (2) |
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11.4.5 Degenerate State Perturbation Theory |
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344 | (3) |
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11.4.6 Limitations of the Minimal Model |
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347 | (1) |
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11.4.7 Effects of the Consecutive Stacking |
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347 | (1) |
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348 | (6) |
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11.5.1 Quantum Hall Conductivity |
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348 | (2) |
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11.5.2 Optical Conductivity |
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350 | (1) |
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11.5.3 Electrical Conductivity |
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351 | (3) |
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354 | (3) |
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355 | (2) |
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12 Graphene Carrier Transport Theory |
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357 | (38) |
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357 | (3) |
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12.2 Graphene Boltzmann Transport |
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360 | (9) |
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12.2.1 Screening: Random Phase Approximation (RPA) |
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362 | (3) |
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12.2.2 Coulomb Scatterers |
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365 | (1) |
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12.2.3 Gaussian White Noise Disorder |
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366 | (1) |
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367 | (1) |
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12.2.5 Gaussian Correlated Impurities |
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367 | (1) |
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368 | (1) |
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12.3 Transport at Low Carrier Density |
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369 | (18) |
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12.3.1 Self-Consistent Approximation |
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371 | (6) |
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12.3.2 Effective Medium Theory |
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377 | (4) |
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12.3.3 Magneto-Transport and Temperature Dependence of the Minimum Conductivity |
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381 | (2) |
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12.3.4 Quantum to Classical Crossover |
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383 | (3) |
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12.3.5 Summary of Theoretical Predictions for Coulomb Impurities |
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386 | (1) |
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12.4 Comparison with Experiments |
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387 | (4) |
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12.4.1 Magnetotransport: Dependence of σxx and σxy on Carrier Density |
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387 | (2) |
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12.4.2 Dependence of σmin and Mobility on Impurity Concentration |
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389 | (1) |
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12.4.3 Dependence of σmin and Mobility on Dielectric Environment |
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389 | (2) |
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391 | (4) |
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392 | (3) |
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13 Exploring Quantum Transport in Graphene Ribbons with Lattice Defects and Adsorbates |
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395 | (40) |
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13.1 Landauer Theory of Transport |
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397 | (2) |
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13.2 Subband Structure and Transport in Ideal Ribbons |
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399 | (3) |
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13.3 Quantized Ballistic Conductance |
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402 | (1) |
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13.4 Electron Transport in Graphene Ribbons |
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403 | (1) |
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13.5 Discovery of Quantized Conductance in Strongly Disordered Graphene Ribbons |
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404 | (1) |
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13.6 The Roles of Different Classes of Defects |
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405 | (1) |
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13.7 Tight Binding Model of Ribbons with Edge Disorder, Interior Vacancies, and Long-Ranged Potentials |
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406 | (1) |
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13.8 Numerical Simulations of Quantum Transport |
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406 | (10) |
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13.8.1 Disorder-Induced Conductance Suppression, Fluctuations and Destruction of the Ballistic Quantized Conductance Plateaus |
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408 | (2) |
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13.8.2 Conductance Dips at the Edges of Ribbon Subbands |
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410 | (1) |
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13.8.3 The Role of Temperature |
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411 | (1) |
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13.8.4 From Ballistic Transport to Anderson Localization |
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412 | (2) |
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13.8.5 The Quantized Conductance in Disordered Ribbons: Theory vs. Experiment |
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414 | (2) |
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13.9 Adsorbates on Graphene and Dirac Point Resonances |
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416 | (7) |
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13.9.1 Tight Binding Hamiltonian for Adsorbates on Graphene |
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417 | (2) |
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13.9.2 Effective Hamiltonian for Adsorbates on Graphene |
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419 | (1) |
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13.9.3 The T-matrix Formalism |
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420 | (1) |
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13.9.4 Dirac Point Scattering Resonances due to H, F, and O Atoms and OH Molecules Adsorbed on Graphene |
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421 | (2) |
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13.10 Electron Quantum Transport in Graphene Ribbons with Adsorbates |
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423 | (8) |
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13.10.1 Building Efficient Tight-Binding Models |
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423 | (3) |
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13.10.2 Results of Numerical Simulations of Quantum Transport in Ribbons with Adsorbates |
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426 | (5) |
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431 | (4) |
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431 | (4) |
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14 Graphene Oxide: Synthesis, Characterization, Electronic Structure, and Applications |
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435 | (32) |
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436 | (1) |
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14.2 Understanding Bulk Graphite Oxide and Graphene Oxide Monolayers |
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437 | (2) |
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14.3 Fabrication of Graphite Oxide and Graphene Oxide |
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439 | (5) |
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14.3.1 Traditional Approaches to Fabricate Graphite Oxide |
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440 | (1) |
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14.3.2 New Fabrication Techniques for Graphite Oxide and Graphene Oxide |
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441 | (3) |
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14.4 Characterization Approaches |
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444 | (8) |
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14.4.1 Optical Microscopy |
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444 | (1) |
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14.4.2 Scanning Transmission Electron Microscopy |
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445 | (2) |
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14.4.3 Electron Energy Loss Spectroscopy |
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447 | (1) |
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14.4.4 Atomic Force Microscopy |
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448 | (1) |
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14.4.5 X-ray Photoelectron Spectroscopy |
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449 | (2) |
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14.4.6 Raman Spectroscopy of Graphene Oxide and Reduced Graphene |
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451 | (1) |
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14.5 Insight from Simulations |
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452 | (5) |
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14.5.1 Using Epoxy Groups to Unzip Graphene |
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452 | (2) |
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14.5.2 Graphene Oxide Electronic Structure |
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454 | (1) |
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14.5.3 Electron Mobility and Transport |
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455 | (2) |
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14.6 Applications for Graphene Oxide |
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457 | (2) |
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14.6.1 Graphene Oxide Electronics |
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457 | (1) |
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|
458 | (1) |
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14.6.3 Carbon-Based Magnetism |
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|
458 | (1) |
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459 | (8) |
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|
460 | (7) |
|
Part III From Physics and Chemistry of Graphene to Device Applications |
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|
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15 Graphene pn Junction: Electronic Transport and Devices |
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|
467 | (42) |
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|
467 | (2) |
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15.2 Transport in the Absence of a Magnetic Field |
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|
469 | (13) |
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15.2.1 Dirac Equation, Pseudospin, and Chirality |
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|
470 | (2) |
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15.2.2 Abrupt pn Junction and Analogy with Optics |
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|
472 | (2) |
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15.2.3 Tunneling for Dirac and Schrodinger Fermions |
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|
474 | (3) |
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15.2.4 Quantum Transport Modeling |
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|
477 | (2) |
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15.2.5 Experiments: Asymmetry and odd Resistances |
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|
479 | (3) |
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15.3 Transport in the Presence of Magnetic Fields |
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|
482 | (12) |
|
15.3.1 Weak Magnetic Field Regime |
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|
482 | (3) |
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15.3.2 Edge States, Snake States, and Valley Isospin |
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|
485 | (2) |
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15.3.3 Quantum Hall Regime: The Ballistic Case |
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|
487 | (3) |
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15.3.4 Experiments: Ballistic to Ohmic Transition |
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|
490 | (4) |
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15.4 Transport in the Presence of Strain-Induced Pseudo-Magnetic Fields |
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|
494 | (9) |
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15.4.1 Strain-Induced Pseudo-Magnetic Field |
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|
494 | (3) |
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15.4.2 Edge States and Transport Gap |
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|
497 | (4) |
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15.4.3 Magnetic and Electric Snake States |
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|
501 | (2) |
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|
503 | (6) |
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15.5.1 Devices: Current Status and Outlook |
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|
503 | (2) |
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|
505 | (1) |
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|
505 | (4) |
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16 Electronic Structure of Bilayer Graphene Nanoribbon and Its Device Application: A Computational Study |
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|
509 | (20) |
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|
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|
509 | (2) |
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|
511 | (1) |
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16.3 Electronic Structure of Monolayer Graphene Nanoribbon |
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|
512 | (4) |
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|
512 | (1) |
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|
513 | (1) |
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|
514 | (2) |
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16.4 Electronic Structure of Bilayer Graphene Nanoribbon |
|
|
516 | (3) |
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|
517 | (1) |
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16.4.2 Zigzag Edges with Dopants |
|
|
518 | (1) |
|
16.4.3 Interlayer Distance |
|
|
518 | (1) |
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16.5 Bilayer Graphene Nanoribbon Device |
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|
519 | (2) |
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16.6 Bilayer ZGNR NEM Switch |
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|
521 | (3) |
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|
524 | (5) |
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|
525 | (4) |
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17 Field-Modulation Devices in Graphene Nanostructures |
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|
529 | (26) |
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|
529 | (1) |
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17.2 Electronic Structure |
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|
530 | (3) |
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17.3 Theoretical Framework: Extended Huckel Theory |
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|
533 | (2) |
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|
535 | (3) |
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|
536 | (1) |
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17.4.2 Strain Engineering |
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|
536 | (2) |
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|
538 | (1) |
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17.5 Armchair Graphene Nanoribbons |
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|
538 | (8) |
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|
539 | (4) |
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17.5.2 Periodic edge roughness effects |
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|
543 | (3) |
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17.6 Zigzag Graphene Nanoribbons with Periodic Edge Roughness |
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|
546 | (4) |
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|
550 | (1) |
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|
551 | (4) |
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|
552 | (3) |
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18 Graphene Nanoribbons: From Chemistry to Circuits |
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|
555 | (32) |
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18.1 The Innermost Circle: The Atomistic View |
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|
556 | (7) |
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18.1.1 Flatland: A Romance in Two Dimensions |
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|
557 | (1) |
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18.1.2 Whither Metallicity? |
|
|
558 | (1) |
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18.1.3 Edge Chemistry: Benzene or Graphene? |
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|
559 | (2) |
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18.1.4 Whither Chirality? |
|
|
561 | (2) |
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18.2 The Next Circle: Two Terminal Mobilities and I-Vs |
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|
563 | (6) |
|
18.2.1 Current-Voltage Characteristics (I-Vs) |
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|
563 | (3) |
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18.2.2 Low Bias Mobility-Bandgap Tradeoffs: Asymptotic Band Constraints |
|
|
566 | (3) |
|
18.3 The Third Level: Active Three-Terminal Electronics |
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|
569 | (7) |
|
18.3.1 Wide-Narrow-Wide: All Graphene Devices |
|
|
569 | (1) |
|
18.3.2 Solving Quantum Transport and Electrostatic Equations |
|
|
570 | (1) |
|
18.3.3 Improved Electrostatics in 2-D |
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|
571 | (3) |
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18.3.4 Three-Terminal I-Vs |
|
|
574 | (1) |
|
18.3.5 Pinning vs. Quasi-Ohmic Contacts |
|
|
575 | (1) |
|
18.4 The Penultimate Circle: GNR Circuits |
|
|
576 | (7) |
|
18.4.1 Geometry of An All Graphene Circuit |
|
|
577 | (2) |
|
18.4.2 Compact Model Equations |
|
|
579 | (1) |
|
|
579 | (1) |
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18.4.4 How `Good' is a Graphene-based Invertor? |
|
|
580 | (3) |
|
18.4.5 Physical Domain Issues: Monolithic Device-Interconnect Structures |
|
|
583 | (1) |
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|
583 | (4) |
|
|
585 | (2) |
Index |
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587 | |