Solid State Theory

by Walter A. Harrison

Overview

"A well-written text . . . should find a wide readership, especially among graduate students." — Dr. J. I. Pankove, RCA.
The field of solid state theory, including crystallography, semi-conductor physics, and various applications in chemistry and electrical engineering, is highly relevant to many areas of modern science and industry. Professor Harrison's well-known text offers an excellent one-year graduate course in this active and important area of research. While presenting a broad overview of the fundamental concepts and methods of solid state physics, including the basic quantum theory of solids, it surpasses more theoretical treatments in its practical coverage of physical applications. This feature makes the book especially useful to specialists in other fields who many encounter solid state problems in their own work. At least one year of quantum mechanics is required; however, the author introduces more advanced methods as needed.
Because virtually all of the properties of solids are determined by the valence electrons, the author devotes the first third of the book to electron states, including solid types and symmetry, band structure, electron dynamics, the self-consistent-field approximation, energy-band calculations, semi-conductor and semi-metal bands, impurity states, the electronic structure of liquids, and other topics. Dr. Harrison then turns to a more systematic treatment of the electronic properties of solids, focusing on thermodynamic properties, transport properties (including the Boltzmann equation), semi-conductor systems, screening, optical properties, the Landau theory of Fermi liquids, and amorphous semi-conductors.
In the final two chapters, Professor Harrison offers a cogent treatment of lattice vibrations and atomic properties and cooperative phenomena (magnetism and superconductivity). In addition to traditional background information, the book features penetrating discussions of such currently active problems as the Mott transition, the electronic structure of disordered systems, tunneling the Kondo effect, and fluctuation near critical points. In an important sense, the entire text constitutes a major vehicle for the clarification of quantum mechanics, resulting from, among other factors, a comparison of the semi-classical (Boltzmann equation) treatment of screening and the corresponding quantum (Liouville equation) treatment.

Product Details

ISBN-13:	9780486639482
Publisher:	Dover Publications
Publication date:	02/17/2011
Series:	Dover Books on Physics
Pages:	576
Product dimensions:	5.50(w) x 8.50(h) x (d)

Table of Contents

Preface
I SOLID TYPES AND SYMMETRY
1 Crystal Structures
2 Symmetry of Crystals
3 Physical Tensors
4 Symmetry Arguments and Group Theory
4.1 Groups
4.2 Representations
4.3 Equivalent representations
4.4 Symmetry degeneracies
4.5 Orthogonality relation
4.6 Characters
4.7 Reduction of representations
5 Applications of Group Theory
5.1 Lowering of symmetry
5.2 Vibrational states
5.3 The translation group-one dimension
II ELECTRON STATES
1 The Structure of the Bands
2 Electron Dynamics
3 The Self-Consistent-Field Approximation
3.1 The Hartree approximation
3.2 The Hartree-Fock approximation
3.3 Free-electron exchange
3.4 Koopman's theorem
3.5 The crystal potential
4 Energy-Band Calculations
4.1 The cellular method
4.2 The plane-wave method
4.3 The orthogonalized-plane-wave method
4.4 The augmented-plane-wave method
4.5 The symmetry of the energy bands
4.6 Calculated energy bands
5 Simple Metals and Pseudopotential Theory
5.1 The pseudopotential
5.2 The model-potential method
5.3 Free-electron bands
5.4 The diffraction approximation
5.5 One-OPW Fermi surfaces
5.6 Experimental studies of Fermi surfaces
5.7 Multile-OPW Fermi surfaces
6 Semiconductor and Semimetal Bands
6.1 k · p method and effectiveness-mass theory
6.2 Dynamics of electrons and holes in semiconductors
6.3 Semimetals
7 Insulator Bands
7.1 The tight-binding approximation
7.2 Bands and binding in ionic crystals
7.3 Polarons and self-trapped electrons
7.4 The Mott transition and molecular solids
7.5 Excitons
7.6 Wannier functions
8 Impurity States
8.1 Tight-blinding description
8.2 Donor and acceptor levels in semiconductors
8.3 Quantum theory of surface states and impurity states
8.4 Phase-shift analysis
8.5 Scattering resonances
8.6 Electron scattering by impurities
9 Transittion-Metal Bands
9.1 Transition-metal pseudopotentials
9.2 The energy bands
9.3 Peturbation theory and properties
10 Electronic Structure of Liquids
10.1 Simple metals
10.2 Insulators and semiconductors
10.3 Description in terms of one-electron Green's functions Appendix on Green's functions
10.4 Resistivity in liquid metals
III ELECTRONIC PROPERTIES
1 Thermodynamic Properties
1.1 The electronic specific heat
1.2 The diamagnetic susceptibility of free electrons
1.3 Pauli paramagnetism
2 Transport Properties
2.1 The Boltzmann equation
2.2 Electrical conductivity
2.3 The Hall effect
2.4 Thermal and thermoelectric effects
2.5 Electron tunneling
3 Semiconductor Systems
3.1 The p-n junction
3.2 The tunnel diode
3.3 The Gunn effect
4 Screening
4.1 Classical theory of simple metals
4.2 Limits and applications of the dielectric function
4.3 Quantum theory of screening
4.4 Screening of pseudopotentials and of hybridization
4.5 The inclusion of exchange and correlation
5 Optical Properties
5.1 The penetration of light in a metal
5.2 The optical conductivity
5.3 Simple metals
5.4 Interband absorption
5.5 Photoelectric emission
5.6 Color centers and the Franck-Condon principle
5.7 X-ray spectroscopy
5.8 Many-body effects
5.9 Lasers
6 Landau Theory of Fermi Liquids
7 Amorphous Semiconductors
IV LATTICE VIBRATIONS AND ATOMIC PROPERTIES
1 Calculation with Force Constants
1.1 Application to the simple cubic structure
1.2 Two atoms per primitive cell
2 Phonons and the Lattice Specific Heat
3 Localized Modes
4 Electron-Phonon Interactions
4.1 Classical theory
Ionic crystals
Semiconductors
Simple metals
4.2 Second quantization
Electron states
Phonon states
Phase coherence and off-diagonal long-range order
Ther interaction
4.3 Applications
Electron scattering
Electron self-energy
The electron-electron interaction
4.4 The Mössbauer effect
5 Pseudopotentials and Phonon Dispersion
5.1 The total energy
5.2 Calculation of vibration spectra
5.3 The Bohn-Staver formula
5.4 Kohn anomalies
6 Interatomic Forces and Atomic Properties
6.1 Stability of metallic structures
6.2 The effective interaction between ions
6.3 Atomic properties of insulators and semiconductors
6.4 Dislocations
V COOPERATIVE PHENOMENA
A MAGNETISM
1 Exchange
2 Band Ferromagnetism
3 Spin Operators
4 Heisenberg Exchange
5 The Molecular-Field Approximation and the Ferromagnetic Transition
6 Inhomogeneities
6.1 Bloch walls
6.2 Spin waves
7 Local Moments
7.1 The formation of local moments
7.2 The Ruderman-Kittel Interaction
The s-d interaction
Interaction between moments
7.3 The Kondo effect
B SUPERCONDUCTIVITY
8 Cooper Pairs
9 Bardeen-Cooper-Schrieffer (BCS) Theory
9.1 The ground state
9.2 Excited states
9.3 Experimental consequences
Persistent currents
Giaever tunneling
9.4 The superconducting wavefunction or order parameter
9.5 The Josephson effect
10 The Ginsburg-Landau Theory
10.1 Evaluation of the free energy
10.2 The Ginsburg-Landau equations
10.3 Applications of the Ginsburg-Landau theory
Zero-field solutions
Nonuniform systems
Applied magnetic fields
10.4 Flux quantization
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