Advanced Physics of Electron Transport in Semiconductors and Nanostructures

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

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.

• Alternative Interpretations of Quantum Mechanics
• Carbon-based Nanostructures
• Electronic Transport in Solids
• Mechanics
• Nano-electronics
• Semiconductor Nanostructures
• Semiconductor Physics
• Solid-state Electronics
• Special Relativity for Electromagnetic Coupling

• 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

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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