Theory of Electron Transport in Semiconductors, 2010
A Pathway from Elementary Physics to Nonequilibrium Green Functions
Springer Series in Solid-State Sciences Series, Vol. 165

This book originated out of a desire to provide students with an instrument which might lead them from knowledge of elementary classical and quantum physics to moderntheoreticaltechniques for the analysisof electrontransport in semiconductors. The book is basically a textbook for students of physics, material science, and electronics. Rather than a monograph on detailed advanced research in a speci?c area, it intends to introduce the reader to the fascinating ?eld of electron dynamics in semiconductors, a ?eld that, through its applications to electronics, greatly contributed to the transformationof all our lives in the second half of the twentieth century, and continues to provide surprises and new challenges. The ?eld is so extensive that it has been necessary to leave aside many subjects, while others could be dealt with only in terms of their basic principles. The book is divided into ?ve major parts. Part I moves from a survey of the fundamentals of classical and quantum physics to a brief review of basic semiconductor physics. Its purpose is to establish a common platform of language and symbols, and to make the entire treatment, as far as pos- ble, self-contained. Parts II and III, respectively, develop transport theory in bulk semiconductors in semiclassical and quantum frames. Part IV is devoted to semiconductor structures, including devices and mesoscopic coherent s- tems. Finally, Part V develops the basic theoretical tools of transport theory within the modern nonequilibrium Green-function formulation, starting from an introduction to second-quantization formalism.

Basic concepts in semiconductor physics.- Survey of Classical Physics.- Fundamentals of Quantum Mechanics.- Fundamentals of Statistical Physics.- Crystal Structures.- Phonons.- Bloch States and Band Theory.- Effective-Mass Theorems, Envelope Function, and Semiclassical Dynamics.- Semiconductors.- Semiclassical transport in bulk semiconductors.- Electronic Interactions.- Boltzmann Equation.- Linear Transport.- Diffusion, Fluctuations, and Noise.- Nonlinear Transport.- Monte Carlo Simulation of Bulk Electron Transport.- Bulk Transport Properties of Main Semiconductors.- Quantum transport in bulk semiconductors.- Quantum Transport in Homogeneous Systems.- The Wigner-Function Approach to Quantum Transport.- Transport in semiconductor structures.- Inhomogeneous and Open Systems: Electronic Devices.- Low-Dimensional Structures.- Carbon Nanotubes.- Coherent Transport in Mesoscopic Structures.- Semiconductor Photo Gallery.- Quantum transport with non-equilibrium Green functions.- Second-Quantization Formalism.- to Green Functions.- Wick–Matsubara Theorems.- Perturbation Expansion of Green Functions: Feynman Diagrams and Dyson Equation.- Nonequilibrium Green Functions Applied to Transport: Quantum Boltzmann Equation.- NonEquilibrium Green Functions Applied to Transport: Mesoscopic Systems.- Appendices.- Vector Spaces and Fourier Analysis.- One-Dimensional Potential Step, Barrier, and Well.- Quantum Theory of Harmonic Oscillator.- Landau Levels.- Perturbation Theory.

Covers the concepts of electron transport in semiconductors Integrates classical and quantum physics of macroscopic and nanostructures Both a reference work for researchers and a study text for graduate students Includes supplementary material: sn.pub/extras