Fischetti / Vandenberghe Advanced Physics of Electron Transport in Semiconductors and Nanostructures

1. Auflage 2016
ISBN: 978-3-319-01101-1
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 474 Seiten, eBook

Reihe: Graduate Texts in Physics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Fischetti, Massimo V.

Vandenberghe, William G.

Inhaltsverzeichnis

Part I A Brief Review of Classical and Quantum MechanicsLagrangian and Hamiltonian formulation of Classical MechanicsSuperposition principle and Hilbert spacesCanonical QuantizationReview of time-independent and time-dependent perturbation theoryThe Periodic Table, molecules and bonds in a nutshellPart II Crystals and Electronic Properties of SolidsCrystals: Lattices, structure, symmetry, reciprocal latticeThe electronic structure of crystalsSingle-electron dynamics: Acceleration theorems, Landau levels, Stark-ladder quantizationPart III Second Quantization and Elementary Excitations in SolidsLagrangian and Hamiltonian formulation of classical fieldsCanonical Quantization of fields (‘Second Quantization’)An example: Quantization of the Schrödinger FieldElements of Quantum Statistical Mechanics and the Spin-Statistics TheoremQuantization of the charge density: PlasmonsQuantization of the vibrational properties of solids: PhononsQuantization of the Electromagnetic Fields: PhotonsDielectric properties of semiconductorsPart IV Electron Scattering in SolidsGeneralities about scattering in semiconductorsElectron-phonon InteractionsScattering with Ionized Impurities: Brooks-Herring and Conwell-Weisskopf models, Ridley’s statistical screening, Friedel sum rule and partial-wavesCoulomb interactions among free carriers, impact-ionization, Auger recombinationInterfacial and line-edge roughness with examples: Si/SiO2, heterostructures, graphene nanoribbonsInterfacial excitations with examples: III-Vs plasmon/phonon coupled modes, suspended graphemeRadiative Processes: The dipole approximation, absorption spectrum for III-VsPart V Electronic TransportThe Density Matrix and the Liouville-von Neumann equationOverview of quantum-transport formalismsFrom Liouville-von Neumann to Boltzmann: The semiclassical limit.

Über Autor(innen)

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.