Transport equations for semiconductors / A. Jungel.

Format:

Book

Author/Creator:

Jüngel, Ansgar, 1966-

Series:

Lecture notes in physics ; 773.

Lecture notes in physics ; 773

Language:

English

Subjects (All):

Semiconductors--Mathematical models.

Electron transport--Mathematical models.

Physical Description:

1 online resource (XVII, 315 p. 27 illus.)

Edition:

1st ed. 2009.

Place of Publication:

Berlin : Springer, c2009.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9783540895268

3540895264