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Bonds and bands
David K Ferry


It is important to note that semiconductors are quite different from either metals or insulators, and their importance lies in the base that they provide to a massive microelectronics and optics community and industry. This book, written for graduate students, describes how quantum mechanics gives semiconductors their unique properties that enabled the microelectronics revolution and focusses on the electronic band structure, lattice dynamics and electron–phonon interactions in semiconductors; properties that make semiconductors the foundation of the modern microelectronics industry.

About Editors

David K Ferry is Regents' Professor in the School of Electrical, Computer and Energy Engineering, at Arizona State University. He received his doctoral degree from the University of Texas, Austin, and was the recipient of the 1999 Cledo Brunetti Award from the Institute of Electrical and Electronics Engineers for his contributions to nanoelectronics. He is the author, or co-author, of numerous scientific articles and more than a dozen books.

Table of Contents

1 Introduction

1.1 What is included in device modeling?

1.2 What is in this book?


2 Electronic Structure

2.1 Periodic Potentials

2.1.1 Bloch Functions

2.1.2 Periodicity and Gaps in Energy

2.2 Potentials and Pseudopotentials

2.3 Real-Space Methods

2.3.1 Bands in One Dimension

2.3.2 Two-Dimensional Lattice

2.3.3 Three-Dimensional Lattices-Tetrahedral Coordination

2.3.4 First Principles and Empirical Approaches

2.4 Momentum Space Methods

2.4.1 The Local Pseudo-Potential Approach

2.4.2 Adding Nonlocal Terms

2.4.3 The Spin-Orbit Interaction

2.5 The k-p Method

2.5.1 Valence and Conduction Band Interactions

2.5.2 Wave Functions

2.6 The Effective Mass Approximation

2.7 Semiconductor Alloys

2.7.1 The Virtual Crystal Approximation

2.7.2 Alloy Ordering


3 Lattice Dynamics

3.1 Lattice Waves and Phonons

3.1.1 One-Dimensional Lattice

3.1.2 The Diatomic Lattice

3.1.3 Quantization of the One-Dimensional Lattice

3.2 Waves in Deformable Solids

3.2.1 (100) Waves

3.2.2 (110) Waves

3.3 Lattice Contribution to the Dielectric Function

3.4 Models for Calculating Phonon Dynamics

3.4.1 Shell Models

3.4.2 Valence Force Field Models

3.4.3 Bond-Charge Models

3.4.4 First Principles Approaches

3.5 Anharmonic Forces and the Phonon Lifetime

3.5.1 Anharmonic Terms in the Potential

3.5.2 Phonon Lifetimes


4 The Electron­-Phonon Interaction

4.1 The Basic Interaction

4.2 Acoustic Deformation Potential Scattering

4.2.1 Spherically Symmetric Bands

4.2.2 Ellipsoidal Bands

4.3 Piezoelectric Scattering

4.4 Optical and Intervalley Scattering

4.4.1 Zero-Order Scattering

4.4.2 Selection Rules

4.4.3 First-Order Scattering

4.4.4 Deformation Potentials

4.5 Polar Optical Phonon Scattering

4.6 Other Scattering Processes

4.6.1 Ionized Impurity Scattering

4.6.2 Coulomb Scattering in Two Dimensions

4.6.3 Surface-Roughness Scattering

4.6.4 Alloy Scattering

4.6.5 Defect Scattering


5 Carrier Transport

5.1 The Boltzmann Transport Equation

5.1.1 The Relaxation Time Approximation

5.1.2 Conductivity

5.1.3 Diffusion

5.1.4 Magnetoconductivity

5.1.5 Transport in High Magnetic Field

5.1.6 Energy Dependence of the Relaxation Time

5.2 The Ensemble Monte Carlo Technique

5.2.1 Free Flight Generation

5.2.2 Final State After Scattering

5.2.3 Time Synchronization

5.2.4 Rejection Techniques for Nonlinear Processes


Hardback ISBN: 9780750310451

Ebook ISBN: 9780750310444

DOI: 10.1088/978-0-750-31044-4

Publisher: Institute of Physics Publishing


This book is clearly the product of an author with great experience and wide knowledge of the field. This volume is well tailored to its intended audience and offers much more than simply clipping a few chapters out of a book on solid state physics.  A. H. Harker 2015 Contemporary Physics, Taylor & Francis

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