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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 | |