## Introduction to Semiconductor Theory – Anselm

In this post we will see Introduction to Semiconductor Theory by A. Anselm.

This book has been written mainly for the benefit of people engaged in experimental work in the field of semiconductor physics. It will probably prove useful to students specializing in physics. Among the principal subjects treated in this book are crystal lattice vibrations, the laws of electron motion in an ideal and a perturbed periodic fields, the kinetic equation and transport phenomena (electric current).

The reader must be familiar with mathematics, quantum mechanics and physical statistics within the limits specified in the curricula of physical faculties of universities or physical and mathematical faculties of polytechnical colleges. He or she need not have a detailed knowledge of those courses but is expected to be able to find a way through the appropriate sections of textbooks referred to.

The special feature of the book is that those elementary facts are used to derive all the formulae. This, I hope, is done meticulously enough to make the book comprehensible for the above mentioned category of readers.

Some mathematical derivations of a more complex nature and less connected with the main text are presented in the end of the book in Appendices.

The book was translated from the Russian by M. M. Samokhvalov and was first published by Mir Publishers in 1981.

You can get the boo here.

## Contents

1.
The Geometry of Crystal Lattices and X-Ray Diffraction

1.1 Simple and Complex Crystal Lattices 1
1.2 Examples of Crystal Structures 7
1.3 Direct and Reciprocal Crystal Lattices 11
1.4 The Laue and Bragg Equations for X-Ray Diffraction in Crystals. Atomic and Structural Scattering Factors 15

2.
Elements of Group Theory and Crystal Symmetry

2.1 Introduction 22
2.2 Elements of Abstract Group Theory 24
2.3 Point Groups 31
2.4 Translation Group. Crystal Systems and Bravais Lattices 40
2.5 Crystal Classes. Space Groups 47
2.6 Irreducible Representations of Groups and the Theory of Characters 55
2.7 Quantum Mechanics and Group Theory 72
2.8 Application of Group Theory to the Study of Splitting Energy Levels of Impurity Atoms in Crystals and to the Classification of Normal Vibrations in Polyatomic Molecules 78
2.9 Application of Group Theory to Translational Symmetry of Crystals 88
2.10 Selection Rules 99

3.
Vibrations of Atoms in Crystal Lattices

3.1 The Interaction of Atoms in Crystals 103
3.2 Vibrations and Waves in Simple One-Dimensional (Linear) Lattices 111
3.3 Vibrations and Waves in Complex One-Dimensional (Linear) Lattices 117
3.4 Normal Coordinates for Simple One-Dimensional Lattices 122
3.5 Atomic Vibrations in Complex Three-Dimensional Lattices 135
3.6 Normal Coordinates of Crystal Lattice Vibrations 137
3.7 Vibrations in Simple Cubic Lattice 144
3.8 Application of Group Theory to Normal Vibrations in Crystal Lattices 151
3.9 Vibrations and Waves in Crystals in the Approximation of an Isotropic Continuous Medium 160
3.10 Quantization of Crystal Lattice Vibrations. Phonons 167
3.11 Specific Heat of Crystal Lattices 171
3.12 Equation of State for a Solid 181
3.13 Thermal Expansion and Heat Conductivity of Solids 186

4.
Electrons in an Ideal Crystal

4.1 General Formulation of the Problem. The Adiabatic Approximation 190
4.2 The Hartree-Fock Method 193
4.3 Electron in a Periodic Field 200
4.4 Concept of Positive Holes in an Almost Completely Filled Valence Band 211
4.5 The Approximation of Almost Free (Weakly Bound) Electrons 214
4.6 Brillouin Zones 219
4.7 Tight Binding Approximation 224
4.8 Structure of Energy Bands and Wave Function Symmetry in a Simple Cubic Lattice and in an Indium Antimonide Crystal 241
4.9 Wave Vector Groups for a Germanium-Type Lattice 247
4.10 Spin-Orbit Coupling and Double Groups 252
4.11 Double Groups in InSb and Ge Crystals 262
4.12 Spin-Orbit Splitting in InSb and in Ge Crystals 268
4.13 Investigation of Electron (Hole) Spectra Near the Energy Minima (Maxima) in the Brillouin Zone (kp-Method) 272
4.14 Symmetry Involving Time Reversal 289
4.15 Energy Band Structure of Some Semiconductors 296

5.
Localized Electron States in Crystals

5.1 Wannier Functions. Electron Motion in the Field of an Impurity Atom 301
5.2 Localized Electron States in a Nonideal Lattice 308
5.3 Excitons 315
5.4 Polarons 323

6.
Electric, Thermal, and Magnetic Properties of Solids

6.1 Metals, Dielectrics, and Semiconductors 334
6.2 Statistical Equilibrium of Free Electrons in Semiconductors and Metals 336
6.3 Heat Capacity of Free Electrons in Metals and in Semiconductors 347
6.4 Magnetic Properties of Materials. Paramagnetism of Gases and of Conduction Electrons in Metals and Semiconductors 350
6.5 Diamagnetism of Atoms and of Conduction Electrons. Magnetic Properties of Semiconductors 359
6.6 Cyclotron (Diamagnetic) Resonance 370
6.7 Metal-Semiconductor Contact. Rectification 379
6.8 Properties of p-n Junctions 386
6.9 Generation and Recombination of Charge Carriers. Quasi-Fermi Levels 393

7.
Optical Phenomena in Semiconductors

7.1 Kramers-Kronig Dispersion Relations 398
7.2 Interband Absorption of Light Involving Direct Transitions 403
7.3 Indirect Interband Transitions 417
7.4 Absorption of Light in Semiconductors by Free Charge Carriers 426
7.5 Polaritons 429
7.7 Theory of Interband Absorption of Light in a Quantizing Magnetic Field 437
7.8 Absorption of Light in Semiconductors in a Homogeneous Electric Field (Franz-Keldysh Effect) 447

8.
Kinetic Equation and Relaxation Time of Conduction Electrons in Crystals

8.1 Transport Phenomena and Boltzmann Equation 456
8.2 Kinetic Equation for Electrons in a Crystal 466
8.3 Scattering of Electrons by Acoustic Lattice Vibrations 470
8.4 Relaxation Time of Conduction Electrons in an Atomic Semiconductor and in a Metal 474
8.5 Theory of Deformation Potential in Cubic Crystals with a Simple Energy-Band Structure 479
8.6 Scattering of Conduction Electrons by Lattice Vibrations in Ionic Crystals 484
8.7 Scattering of Conduction Electrons by Charged and Neutral Impurity Atoms 491

9.
Kinetic Processes (Transport Phenomena) in Semiconductors

9.1 Introduction 497
9.2 Determination of Nonequilibrium Distribution Function for Conduction Electrons in Case of a Spherically Symmetric Band 500
9.3 Electrical Conductivity of Nondegenerate Semiconductors with a Simple Energy-Band Structure 506
9.4 Thermoelectric Phenomena in Nondegenerate Semiconductors with a Simple Energy-Band Structure 509
9.5 Galvanomagnetic Phenomena in Nondegenerate Semiconductors with a Simple Energy-Band Structure 517
9.6 Thermomagnetic Phenomena in Nondegenerate Semiconductors with a Simple Energy-Band Structure 524
9.7 Transport Phenomena in Semiconductors with a Simple Energy Band in the Case of Arbitrary Degeneracy 532
9.8 Transport Phenomena in Silicon- and Germanium-Type Semiconductors 538
9.9 Transport Phenomena in Semiconductors with a Spherical Nonparabolic Band 559
9.10 Phonon Drag Effect in Semiconductors 564
9.11 Quantum Mechanical Theory of Galvano- and Thermo-magnetic Phenomena in Semiconductors 572
Appendices 581
References 644
Subject Index

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### 3 Responses to Introduction to Semiconductor Theory – Anselm

1. ggiiuulliio says:

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giulio

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2. uday1234 says:

great work, but some letters, words on the left side of the page are quite faint !
Any way we have to manage !

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• The Mitr says:

You are correct. The spine of the the book was tight, so to press it harder would have damaged the book. This problem is only in the beginning, later the print is clear.

The Mitr

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