Electrical Conduction in Graphene and Nanotubes -- Contents -- Preface -- Physical Constants, Units, Mathematical Signs and Symbols -- 1 Introduction -- 1.1 Carbon Nanotubes -- 1.2 Theoretical Background -- 1.2.1 Metals and Conduction Electrons -- 1.2.2 Quantum Mechanics -- 1.2.3 Heisenberg Uncertainty Principle -- 1.2.4 Bosons and Fermions -- 1.2.5 Fermi and Bose Distribution Functions -- 1.2.6 Composite Particles -- 1.2.7 Quasifree Electron Model -- 1.2.8 "Electrons" and "Holes" -- 1.2.9 The Gate Field Effect -- 1.3 Book Layout -- 1.4 Suggestions for Readers -- 1.4.1 Second Quantization -- 1.4.2 Semiclassical Theory of Electron Dynamics -- 1.4.3 Fermi Surface -- References -- 2 Kinetic Theory and the Boltzmann Equation -- 2.1 Diffusion and Thermal Conduction -- 2.2 Collision Rate: Mean Free Path -- 2.3 Electrical Conductivity and Matthiessen's Rule -- 2.4 The Hall Effect: "Electrons" and "Holes" -- 2.5 The Boltzmann Equation -- 2.6 The Current Relaxation Rate -- References -- 3 Bloch Electron Dynamics -- 3.1 Bloch Theorem in One Dimension -- 3.2 The Kronig-Penney Model -- 3.3 Bloch Theorem in Three Dimensions -- 3.4 Fermi Liquid Model -- 3.5 The Fermi Surface -- 3.6 Heat Capacity and Density of States -- 3.7 The Density of State in the Momentum Space -- 3.8 Equations of Motion for a Bloch Electron -- References -- 4 Phonons and Electron-Phonon Interaction -- 4.1 Phonons and Lattice Dynamics -- 4.2 Van Hove Singularities -- 4.2.1 Particles on a Stretched String (Coupled Harmonic Oscillators) -- 4.2.2 Low-Frequency Phonons -- 4.2.3 Discussion -- 4.3 Electron-Phonon Interaction -- 4.4 Phonon-Exchange Attraction -- References -- 5 Electrical Conductivity of Multiwalled Nanotubes -- 5.1 Introduction -- 5.2 Graphene -- 5.3 Lattice Stability and Reflection Symmetry -- 5.4 Single-Wall Nanotubes -- 5.5 Multiwalled Nanotubes -- 5.6 Summary and Discussion.

References -- 6 Semiconducting SWNTs -- 6.1 Introduction -- 6.2 Single-Wall Nanotubes -- 6.3 Summary and Discussion -- References -- 7 Superconductivity -- 7.1 Basic Properties of a Superconductor -- 7.1.1 Zero Resistance -- 7.1.2 Meissner Effect -- 7.1.3 Ring Supercurrent and Flux Quantization -- 7.1.4 Josephson Effects -- 7.1.5 Energy Gap -- 7.1.6 Sharp Phase Change -- 7.2 Occurrence of a Superconductor -- 7.2.1 Elemental Superconductors -- 7.2.2 Compound Superconductors -- 7.2.3 High-Tc Superconductors -- 7.3 Theoretical Survey -- 7.3.1 The Cause of Superconductivity -- 7.3.2 The Bardeen-Cooper-Schrieffer Theory -- 7.3.3 Quantum Statistical Theory -- 7.4 Quantum Statistical Theory of Superconductivity -- 7.4.1 The Generalized BCS Hamiltonian -- 7.5 The Cooper Pair Problem -- 7.6 Moving Pairons -- 7.7 The BCS Ground State -- 7.7.1 The Reduced Generalized BCS Hamiltonian -- 7.7.2 The Ground State -- 7.8 Remarks -- 7.8.1 The Nature of the Reduced Hamiltonian -- 7.8.2 Binding Energy per Pairon -- 7.8.3 The Energy Gap -- 7.8.4 The Energy Gap Equation -- 7.8.5 Neutral Supercondensate -- 7.8.6 Cooper Pairs (Pairons) -- 7.8.7 Formation of a Supercondensate and Occurrence of Superconductors -- 7.8.8 Blurred Fermi Surface -- 7.9 Bose-Einstein Condensation in 2D -- 7.10 Discussion -- References -- 8 Metallic (or Superconducting) SWNTs -- 8.1 Introduction -- 8.2 Graphene -- 8.3 The Full Hamiltonian -- 8.4 Moving Pairons -- 8.5 The Bose-Einstein Condensation of Pairons -- 8.6 Superconductivity in Metallic SWNTs -- 8.7 High-Field Transport in Metallic SWNTs -- 8.8 Zero-Bias Anomaly -- 8.9 Temperature Behavior and Current Saturation -- 8.10 Summary -- References -- 9 Magnetic Susceptibility -- 9.1 Magnetogyric Ratio -- 9.2 Pauli Paramagnetism -- 9.3 The Landau States and Levels -- 9.4 Landau Diamagnetism -- References -- 10 Magnetic Oscillations.

10.1 Onsager's Formula -- 10.2 Statistical Mechanical Calculations: 3D -- 10.3 Statistical Mechanical Calculations: 2D -- 10.4 Anisotropic Magnetoresistance in Copper -- 10.4.1 Introduction -- 10.4.2 Theory -- 10.4.3 Discussion -- 10.5 Shubnikov-de Haas Oscillations -- References -- 11 Quantum Hall Effect -- 11.1 Experimental Facts -- 11.2 Theoretical Developments -- 11.3 Theory of the Quantum Hall Effect -- 11.3.1 Introduction -- 11.3.2 The Model -- 11.3.3 The Integer QHE -- 11.3.4 The Fractional QHE -- 11.4 Discussion -- References -- 12 Quantum Hall Effect in Graphene -- 12.1 Introduction -- References -- 13 Seebeck Coefficient in Multiwalled Carbon Nanotubes -- 13.1 Introduction -- 13.2 Classical Theory of the Seebeck Coefficient in a Metal -- 13.3 Quantum Theory of the Seebeck Coefficient in a Metal -- 13.4 Simple Applications -- 13.5 Graphene and Carbon Nanotubes -- 13.6 Conduction in Multiwalled Carbon Nanotubes -- 13.7 Seebeck Coefficient in Multiwalled Carbon Nanotubes -- References -- 14 Miscellaneous -- 14.1 Metal-Insulator Transition in Vanadium Dioxide -- 14.1.1 Introduction -- 14.2 Conduction Electrons in Graphite -- 14.3 Coronet Fermi Surface in Beryllium -- 14.4 Magnetic Oscillations in Bismuth -- References -- Appendix -- A.1 Second Quantization -- A.1.1 Boson Creation and Annihilation Operators -- A.1.2 Observables -- A.1.3 Fermion Creation and Annihilation Operators -- A.1.4 Heisenberg Equation of Motion -- A.2 Eigenvalue Problem and Equation-of-Motion Method -- A.2.1 Energy-Eigenvalue Problem in Second Quantization -- A.2.2 Energies of Quasielectrons (or "Electrons") at 0K -- A.3 Derivation of the Cooper Equation (7.34) -- A.4 Proof of (7.94) -- A.5 Statistical Weight for the Landau States -- A.5.1 The Three-Dimensional Case -- A.5.2 The Two-Dimensional Case -- A.6 Derivation of Formulas (11.16)-(11.18) -- References -- Index.

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