Charge Transport in Low Dimensional Semiconductor Structures / Mathematics in Industry Bd.31 (PDF)
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This book offers, from both a theoretical and a computational perspective, an analysis of macroscopic mathematical models for description of charge transport in electronic devices, in particular in the presence of confining effects, such as in the double gate MOSFET. The models are derived from the semiclassical Boltzmann equation by means of the moment method and are closed by resorting to the maximum entropy principle. In the case of confinement, electrons are treated as waves in the confining direction by solving a one-dimensional Schrödinger equation obtaining subbands, while the longitudinal transport of subband electrons is described semiclassically. Limiting energy-transport and drift-diffusion models are also obtained by using suitable scaling procedures. An entire chapter in the book is dedicated to a promising new material like graphene. The models appear to be sound and sufficiently accurate for systematic use in computer-aided design simulators for complex electron devices. The book is addressed to applied mathematicians, physicists, and electronic engineers. It is written for graduate or PhD readers but the opening chapter contains a modicum of semiconductor physics, making it self-consistent and useful also for undergraduate students.
Giovanni Mascali received his Master's degree in Theoretical Physics from the University of Catania in 1994, and his PhD in Mathematics at the Catania-Messina-Palermo consortium of universities in 2000. In 2002 he joined the University of Calabria as Assistant Professor. He is now Professor of Mathematical Physics at the Department of Mathematics and Computer Science of the University of Calabria. He was one of the editors of the 9th volume of Scientific Computing in Electrical Engineering, Series: Mathematics in Industry, and one of the directors of the international school MOMINE09 (Modeling and optimization in micro- and
Vito Dario Camiola received his Master's degree in Theoretical Physics and his PhD in Applied Mathematics from the University of Catania. He then worked as a postdoctoral researcher at the Nanoscience Institute of CNR and Scuola Normale Superiore di Pisa. At present, he is a postdoctoral researcher and temporary professor of Analytical Mechanics at Università Politecnica delle Marche. His main research fields are theory of electron transport in low-dimensional devices and quantum thermodynamics.
- Autoren: Vito Dario Camiola , Giovanni Mascali , Vittorio Romano
- 2020, 1st ed. 2020, 337 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 303035993X
- ISBN-13: 9783030359935
- Erscheinungsdatum: 02.03.2020
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