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| Preface | |
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| Some Symbols used | |
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| The New Ohm's Law | |
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| The Bottom-Up Approach | |
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| Why Electrons Flow | |
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| Two Key Concepts | |
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| Fermi Function | |
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| Non-equilibrium: Two Fermi Functions | |
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| Linear Response | |
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| Difference in "Agenda" Drives the Flow | |
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| The Elastic Resistor | |
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| How an Elastic Resistor Dissipates Heat | |
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| Conductance of an Elastic Resistor | |
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| Why an Elastic Resistor is Relevant | |
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| Ballistic and Diffusive Transport | |
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| Ballistic and Diffusive Transfer Times | |
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| Channels for Conduction | |
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| Conductivity | |
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| E(p) or E(k) Relations | |
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| Counting States | |
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| Drude Formula | |
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| Is Conductivity proportional to Electron Density? | |
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| Quantized Conductance | |
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| Diffusion Equation for Ballistic Transport | |
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| Electrochemical Potentials Out of Equilibrium | |
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| Currents in Terms of Non-Equilibrium Potentials | |
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| What about Drift? | |
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| Boltzmann Transport Equation, BTE | |
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| Diffusion Equation from BTE | |
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| Equilibrium Fields Do Matter | |
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| The Two Potentials | |
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| Electrostatics is Important | |
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| The Nanotransistor | |
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| Why the Current Saturates | |
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| Role of Charging | |
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| Rectifier Based on Electrostatics | |
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| Extended Channel Model | |
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| Smart Contacts | |
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| Why p-n Junctions are Different | |
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| Contacts are Fundamental | |
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| Old Topics in New Light | |
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| Thermoelectricity | |
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| Seebeack Coefficient | |
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| Thermoelectric Figures of Merit | |
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| Heat Current | |
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| "Delta Function" Thermoelectric | |
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| Phonon Transport | |
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| Phonon Heat Current | |
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| Thermal Conductivity | |
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| Measuring Electrochemical Potentials | |
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| The Landauer Formulas | |
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| B�ttiker Formula | |
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| Hall Effect | |
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| Why n- and p- Conductors Are Different | |
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| Spatial Profile of Electrochemical Potential | |
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| Measuring the Potential | |
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| Non - Reciprocal Circuits | |
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| Spin Value | |
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| Mode Mismatch and Interface Resistance | |
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| Spin Potentials | |
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| Spin-Torque | |
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| Polarizers and Analyzers | |
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| Kubo Formula | |
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| Kubo Formula for an Elastic Resistor | |
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| Onsager Relations | |
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| Second Law | |
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| Asymmetry of Absorption and Emission | |
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| Entropy | |
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| Law of Equilibrium | |
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| Fock Space States | |
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| Alternative Expression for Entropy | |
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| Fuel Value of Information | |
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| Information-Driven Battery | |
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| Fuel Value Comes From Knowledge | |
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| Landauer's Principle | |
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| Maxwell's Demon | |
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| Contact-ing Schr�dinger | |
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| The Model | |
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| Schr�dinger Equation | |
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| Electron-Electron Interactions | |
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| Differential to Matrix Equation | |
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| Choosing Matrix Parameters | |
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| Non-Equilibrium Green's Functions (NEGF) | |
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| One-level Resistor | |
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| Multi-level Resistors | |
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| Conductance Functions for Coherent Transport | |
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| Elastic Dephasing | |
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| Can Two Offer Less Resistance than One? | |
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| Modeling 1D Conductors | |
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| Quantum Resistors in Series | |
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| Potential Drop Across Scatterer(s) | |
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| Quantum of Conductance | |
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| 2D Conductor as 1D Conductors in Parallel | |
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| Contact self-energy for 2D Conductors | |
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| Quantum Hall Effect | |
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| Rotating an Electron | |
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| One-level Spin Valve | |
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| Rotating Magnetic Contacts | |
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| Spin Hamiltonians | |
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| Vectors and Spinors | |
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| Spin Precession | |
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| From NEGF to Diffusion | |
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| Does NEGF Include "Everything"? | |
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| Coulomb Blockade | |
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| Fock Space Description | |
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| Entangled States | |
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| The Quantum and the Classical | |
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| Spin coherence | |
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| Pseudo-spins | |
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| Quantum Entropy | |
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| Does Interaction Increase the Entropy? | |
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| Spins and magnets | |
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| References / Further Reading | |
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| Appendices | |
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| Fermi and Bose Function Derivatives | |
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| Angular Averaging | |
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| Hamiltonian with E- and B-Fields | |
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| Transmission Line Parameters from BTE Equations | |
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| NEGF Equations | |
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| MATLAB Codes for Text Figures | |