Read e-book online Advanced Physics of Electron Transport in Semiconductors and PDF

By Massimo V. Fischetti,William G. Vandenberghe

This textbook is geared toward second-year graduate scholars in Physics, electric Engineer­ing, or fabrics technological know-how. It provides a rigorous creation to digital shipping in solids, in particular on the nanometer scale.

Understanding digital delivery in solids calls for a few uncomplicated wisdom of Ham­iltonian Classical Mechanics, Quantum Mechanics, Condensed subject idea, and Statistical Mechanics. consequently, this booklet discusses these sub-topics that are required to accommodate digital shipping in a unmarried, self-contained direction. it will be beneficial for college kids who intend to paintings in academia or the nano/ micro-electronics industry.

Further subject matters coated contain: the idea of power bands in crystals, of moment quan­tization and trouble-free excitations in solids, of the dielectric homes of semicon­ductors with an emphasis on dielectric screening and matched interfacial modes, of electron scattering with phonons, plasmons, electrons and photons, of the derivation of delivery equations in semiconductors and semiconductor nanostructures a little on the quantum point, yet in most cases on the semi-classical point. The textual content provides examples correct to present study, hence not just approximately Si, but additionally approximately III-V compound semiconductors, nanowires, graphene and graphene nanoribbons. specifically, the textual content provides significant emphasis to plane-wave equipment utilized to the digital constitution of solids, either DFT and empirical pseudopotentials, constantly paying realization to their results on digital delivery and its numerical remedy. The middle of the textual content is digital shipping, with considerable discussions of the delivery equations derived either within the quantum photo (the Liouville-von Neumann equation) and semi-classically (the Boltzmann delivery equation, BTE). a sophisticated bankruptcy, bankruptcy 18, is precisely concerning the ‘tricky’ transition from the time-reversible Liouville-von Neumann equation to the time-irreversible Green’s features, to the density-matrix formalism and, classically, to the Boltzmann shipping equation. ultimately, a number of tools for fixing the BTE are additionally reviewed, together with the strategy of moments, iterative tools, direct matrix inversion, mobile Automata and Monte Carlo. 4 appendices whole the text.

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Advanced Physics of Electron Transport in Semiconductors and Nanostructures (Graduate Texts in Physics) by Massimo V. Fischetti,William G. Vandenberghe

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