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

By Massimo V. Fischetti,William G. Vandenberghe

ISBN-10: 3319011006

ISBN-13: 9783319011004

This textbook is aimed toward second-year graduate scholars in Physics, electric Engineer­ing, or fabrics technology. It provides a rigorous advent to digital shipping in solids, in particular on the nanometer scale.

Understanding digital delivery in solids calls for a few easy wisdom of Ham­iltonian Classical Mechanics, Quantum Mechanics, Condensed topic idea, and Statistical Mechanics. for that reason, this ebook discusses these sub-topics that are required to house digital shipping in a unmarried, self-contained direction. this may be helpful 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 straightforward excitations in solids, of the dielectric houses of semicon­ductors with an emphasis on dielectric screening and paired interfacial modes, of electron scattering with phonons, plasmons, electrons and photons, of the derivation of shipping equations in semiconductors and semiconductor nanostructures a bit on the quantum point, yet as a rule on the semi-classical point. The textual content provides examples appropriate to present learn, hence not just approximately Si, but additionally approximately III-V compound semiconductors, nanowires, graphene and graphene nanoribbons. specifically, the textual content offers significant emphasis to plane-wave equipment utilized to the digital constitution of solids, either DFT and empirical pseudopotentials, continuously paying consciousness to their results on digital delivery and its numerical therapy. The middle of the textual content is digital delivery, with plentiful discussions of the shipping equations derived either within the quantum photograph (the Liouville-von Neumann equation) and semi-classically (the Boltzmann shipping equation, BTE). a sophisticated bankruptcy, bankruptcy 18, is exactly concerning the ‘tricky’ transition from the time-reversible Liouville-von Neumann equation to the time-irreversible Green’s capabilities, to the density-matrix formalism and, classically, to the Boltzmann delivery equation. eventually, a number of tools for fixing the BTE are additionally reviewed, together with the tactic of moments, iterative equipment, 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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