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Advanced Physics of Electron Transport in Semiconductors and Nanostructures

  • Textbook
  • © 2016

Overview

Authors:
  1. Massimo V. Fischetti

    1. Dept of Materials Sci & Enggr, University of Texas at Dallas, Richadson, USA

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  2. William G. Vandenberghe

    1. Dept. of Materials Sci. and Engineering, University of Texas at Dallas, RICHARDSON, USA

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    You can also search for this author in PubMed   Google Scholar

  • Comprehensive treatment of electronic structure of and transport in solids including nanostructures
  • Includes a historical perspective on the evolution of quantum theory and how it has shaped our knowledge of electrons in crystals
  • Rigorous mathematical development is supplemented by numerical and computational methodologies which convey a practical understanding of the challenges and successes of using quantum mechanics for real world applications
  • Exercises for students, based on homework problems assigned by the authors, and suggested reading will be included
  • Includes supplementary material: sn.pub/extras

Part of the book series: Graduate Texts in Physics (GTP)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. A Brief Review of Classical and Quantum Mechanics

    1. Front Matter

      Pages 1-1
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    2. Canonical Quantization of Physical Systems

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 3-20

    3. The Periodic Table, Molecules, and Bonds

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 21-36

  3. Crystals and Electronic Properties of Solids

    1. Front Matter

      Pages 37-37
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    2. Crystals: Lattice, Reciprocal Lattice, and Symmetry

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 39-55

    3. The Electronic Structure of Crystals: Theoretical Framework

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 57-69

    4. The Electronic Structure of Crystals: Computational Methods

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 71-97

    5. Density Functional Theory

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 99-110

    6. * Electronic Structure of Low-Dimensionality Systems

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 111-162

    7. Single-Electron Dynamics in Crystals

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 163-183

  4. Elementary Excitations, Statistical Mechanics, and Dielectric Response

    1. Front Matter

      Pages 185-185
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    2. Elementary Excitations in Solids

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 187-214

    3. Elements of Quantum Statistical Mechanics

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 215-221

    4. Dielectric Properties of Semiconductors

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 223-251

  5. Electron Scattering in Solids

    1. Front Matter

      Pages 253-253
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    2. Generalities About Scattering in Semiconductors

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 255-268

    3. Electron—Phonon Interactions

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 269-314

    4. Scattering with Ionized Impurities

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 315-325

    5. Coulomb Interactions Among Free Carriers

      • Massimo V. Fischetti, William G. Vandenberghe
      Pages 327-349
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Keywords

About this book

This textbook is aimed at second-year graduate students in Physics, Electrical Engineer­ing, or Materials Science. It presents a rigorous introduction to electronic transport in solids, especially at the nanometer scale.Understanding electronic transport in solids requires some basic knowledge of Ham­iltonian Classical Mechanics, Quantum Mechanics, Condensed Matter Theory, and Statistical Mechanics. Hence, this book discusses those sub-topics which are required to deal with electronic transport in a single, self-contained course. This will be useful for students who intend to work in academia or the nano/ micro-electronics industry.Further topics covered include: the theory of energy bands in crystals, of second quan­tization and elementary excitations in solids, of the dielectric properties of semicon­ductors with an emphasis on dielectric screening and coupled interfacial modes, of electron scattering with phonons, plasmons, electrons and photons, of the derivation of transport equations in semiconductors and semiconductor nanostructures somewhat at the quantum level, but mainly at the semi-classical level. The text presents examples relevant to current research, thus not only about Si, but also about III-V compound semiconductors, nanowires, graphene and graphene nanoribbons. In particular, the text gives major emphasis to plane-wave methods applied to the electronic structure of solids, both DFT and empirical pseudopotentials, always paying attention to their effects on electronic transport and its numerical treatment. The core of the text is electronic transport, with ample discussions of the transport equations derived both in the quantum picture (the Liouville-von Neumann equation) and semi-classically (the Boltzmann transport equation, BTE). An advanced chapter, Chapter 18, is strictly related to the ‘tricky’ transition from the time-reversible Liouville-von Neumann equation to the time-irreversible Green’s functions, to the density-matrix formalism and, classically, to the Boltzmann transport equation. Finally, several methods for solving the BTE are also reviewed, including the method of moments, iterative methods, direct matrix inversion, Cellular Automata and Monte Carlo. Four appendices complete the text.


Authors and Affiliations

  • Dept of Materials Sci & Enggr, University of Texas at Dallas, Richadson, USA

    Massimo V. Fischetti

  • Dept. of Materials Sci. and Engineering, University of Texas at Dallas, RICHARDSON, USA

    William G. Vandenberghe

About the authors

Massimo V. Fischetti is a professor at the University of Texas at Dallas and a distinguished chair at Texas Instruments in Nanoelectronics. William Vandenberghe is also at the University of Texas at Dallas.

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