Transport equations for semiconductors

Ansgar Jüngel (auth.)3540895256, 9783540895251

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.

Table of contents :
Front Matter….Pages 1-15
Front Matter….Pages 1-2
Basic Semiconductor Physics….Pages 1-42
Front Matter….Pages 1-2
Derivation of Macroscopic Equations….Pages 1-10
Collisionless Models….Pages 1-14
Scattering Models….Pages 1-25
Front Matter….Pages 1-2
Drift-Diffusion Equations….Pages 1-29
Energy-Transport Equations….Pages 1-27
Spherical Harmonics Expansion Equations….Pages 1-14
Diffusive Higher-Order Moment Equations….Pages 1-24
Hydrodynamic Equations….Pages 1-19
Front Matter….Pages 1-2
The Schrödinger Equation….Pages 1-14
The Wigner Equation….Pages 1-17
Front Matter….Pages 1-2
Quantum Drift-Diffusion Equations….Pages 1-24
Quantum Diffusive Higher-Order Moment Equations….Pages 1-8
Quantum Hydrodynamic Equations….Pages 1-26
Back Matter….Pages 1-7