Transport Equations for Semiconductors

ISBN-13: 9783642100475 / Angielski / Miękka / 2010 / 315 str.

Ansgar Jüngel

Opis

This volume presents a systematic and mathematically accurate description and derivation of transport equations in solid state physics, in particular semiconductor devices.

Recenzje

From the reviews:

"The book is a comprehensive review of the main transport equations in semiconductors, presenting the state of the art from the point of view of mathematical modeling. ... The book is addressed to applied mathematicians, solid state physicists and electrical and electronic engineers, but it is as well a good introduction for graduate and Ph.D. students specializing in the transport of charge carriers in semiconductors." (Vittorio Romano, Mathematical Reviews, Issue 2011 k)

Spis treści

Basic Semiconductor Physics.- Microscopic Semi-Classical Models.- Derivation of Macroscopic Equations.- Collisionless Models.- Scattering Models.- Macroscopic Semi-Classical Models.- Drift-Diffusion Equations.- Energy-Transport Equations.- Spherical Harmonics Expansion Equations.- Diffusive Higher-Order Moment Equations.- Hydrodynamic Equations.- Microscopic Quantum Models.- The Schr#x00F6;dinger Equation.- The Wigner Equation.- Macroscopic Quantum Models.- Quantum Drift-Diffusion Equations.- Quantum Diffusive Higher-Order Moment Equations.- Quantum Hydrodynamic Equations.

Blurb

Semiconductor devices are ubiquitous in the modern computer and telecommunications industry. A precise knowledge of the transport equations for electron flow in semiconductors when a voltage is applied is therefore of paramount importance for further technological breakthroughs.

In the present work, the author tackles their derivation in a systematic and rigorous way, depending on certain key parameters such as the number of free electrons in the device, the mean free path of the carriers, the device dimensions and the ambient temperature. Accordingly a hierarchy of models is examined which is reflected in the structure of the book: first the microscopic and macroscopic semi-classical approaches followed by their quantum-mechanical counterparts.