This textbook is aimed at second-year graduate students in Physics,
Electrical Engineer ing, 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 Ham iltonian 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 quan tization and elementary excitations in solids, of the
dielectric properties of semicon ductors 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.
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