Stochastic approaches to electron transport in micro- and nanostructures /

The book serves as a synergistic link between the development of mathematical models and the emergence of stochastic (Monte Carlo) methods applied for the simulation of current transport in electronic devices. Regarding the models, the historical evolution path, beginning from the classical charge c...

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Bibliographic Details
Main Authors: Nedjalkov, Mihail
Group Author: Dimov, Ivan, 1963-; Selberherr, Siegfried, 1955-
Published: Birkhäuser,
Publisher Address: Cham :
Publication Dates: [2021]
Literature type: Book
Language: English
Series: Modeling and simulation in science, engineering and technology,
Subjects:
Summary: The book serves as a synergistic link between the development of mathematical models and the emergence of stochastic (Monte Carlo) methods applied for the simulation of current transport in electronic devices. Regarding the models, the historical evolution path, beginning from the classical charge carrier transport models for microelectronics to current quantum-based nanoelectronics, is explicatively followed. Accordingly, the solution methods are elucidated from the early phenomenological single particle algorithms applicable for stationary homogeneous physical conditions up to the complex algorithms required for quantum transport, based on particle generation and annihilation. The book fills the gap between monographs focusing on the development of the theory and the physical aspects of models, their application, and their solution methods and monographs dealing with the purely theoretical approaches for finding stochastic solutions of Fredholm integral equations.
Carrier Form: xvi, 214 pages : illustrations (some color) ; 24 cm.
Bibliography: Includes bibliographical references (pages 207-214).
ISBN: 9783030679163
3030679160
Index Number: QC175
CLC: O482.4
Call Number: O482.4/N371
Contents: Intro -- Preface -- Introduction to the Parts -- Contents -- Part I Aspects of Electron Transport Modeling -- 1 Concepts of Device Modeling -- 1.1 About Microelectronics -- 1.2 The Role of Modeling -- 1.3 Modeling of Semiconductor Devices -- 1.3.1 Basic Modules -- 1.3.2 Transport Models -- 1.3.3 Device Modeling: Aspects -- 2 The Semiconductor Model: Fundamentals -- 2.1 Crystal Lattice Electrons -- 2.1.1 Band Structure -- 2.1.2 Carrier Dynamics -- 2.1.3 Charge Transport -- 2.2 Lattice Imperfections -- 2.2.1 Phonons -- 2.2.2 Phonon Scattering -- 3 Transport Theories in Phase Space