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    Lessons from Nanoelectronics A New Perspective on Transport

    ISBN-10: 9814335282
    ISBN-13: 9789814335287
    Author(s): Supriyo Datta
    Description: Everyone is familiar with the amazing performance of a modern laptop, powered by more than a billion nanotransistors, each having an active region that is barely a few hundred atoms long.These lectures, however, are about a less-appreciated  More...
    Buy it from: $101.03
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    Publisher: World Scientific Publishing Company, Incorporated
    Binding: Hardcover
    Pages: 492
    Size: 6.50" wide x 9.50" long x 1.25" tall
    Weight: 1.848
    Language: English

    Everyone is familiar with the amazing performance of a modern laptop, powered by more than a billion nanotransistors, each having an active region that is barely a few hundred atoms long.These lectures, however, are about a less-appreciated by-product of the microelectronics revolution, namely the deeper understanding of current flow, energy exchange and device operation that it has enabled, which forms the basis for what we call the bottom-up approach.The book assumes very little background beyond linear algebra and differential equations, and is intended to be accessible to anyone in any branch of science or engineering.These lectures represent our attempt to reach those who are not experts in device physics or transport theory and would like to keep it that way. For dedicated graduate students and the experts, I have written extensively in the past. But they too may enjoy these notes taking a fresh look at a familiar subject, emphasizing the insights from mesoscopic physics and nanoelectronics that are of general interest and relevance.

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

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