Oxford Solid State Basics

ISBN-10: 0199680779

ISBN-13: 9780199680771

Edition: 2013

Authors: Steven H. Simon

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The study of solids is one of the richest, most exciting, and most successful branches of physics. While the subject of solid state physics is often viewed as dry and tedious this new book presents the topic instead as an exciting exposition of fundamental principles and great intellectualbreakthroughs. Beginning with a discussion of how the study of heat capacity of solids ushered in the quantum revolution, the author presents the key ideas of the field while emphasizing the deep underlying concepts. The book begins with a discussion of the Einstein/Debye model of specific heat, and the Drude/Sommerfeld theories of electrons in solids, which can all be understood without reference to any underlying crystal structure. The failures of these theories force a more serious investigation ofmicroscopics. Many of the key ideas about waves in solids are then introduced using one dimensional models in order to convey concepts without getting bogged down with details. Only then does the book turn to consider real materials. Chemical bonding is introduced and then atoms can be bonded together to crystal structures and reciprocal space results. Diffraction experiments, as the central application of these ideas, are discussed in great detail. From there, the connection is made to electron wave diffraction in solids andhow it results in electronic band structure. The natural culmination of this thread is the triumph of semiconductor physics and devices. The final section of the book considers magnetism in order to discuss a range of deeper concepts. The failures of band theory due to electron interaction, spontaneous magnetic orders, and mean field theories are presented well. Finally, the book gives a brief exposition of the Hubbard model thatundergraduates can understand. The book presents all of this material in a clear fashion, dense with explanatory or just plain entertaining footnotes. This may be the best introductory book for learning solid state physics. It is certainly the most fun to read.
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Book details

Copyright year: 2013
Publisher: Oxford University Press
Publication date: 6/20/2013
Binding: Paperback
Pages: 320
Size: 7.25" wide x 9.50" long x 0.75" tall
Weight: 1.694
Language: English

About Condensed Matter Physics
What Is Condensed Matter Physics
Why Do We Study Condensed Matter Physics?
Why Solid State Physics?
Physics of Solids without Considering Microscopic Structure: The Early Days of Solid State
Specific Heat of Solids: Boltzmarrn, Einstein, and Debye
Einstein's Calculation
Debye's Calculation
Periodic (Born-von Karman) Boundary Conditions
Debye's Calculation Following Planck
Debye's "Interpolation"
Some Shortcomings of the Debye Theory
Appendix to this Chapter: �(4)
Electrons in Metals: Drude Theory
Electrons in Fields
Electrons in an Electric Field
Electrons in Electric and Magnetic Fields
Thermal Transport
More Electrons in Metals: Sommerfeld (Free Electron) Theory
Basic Fermi-Dirac Statistics
Electronic Heat Capacity
Magnetic Spin Susceptibility (Pauli Paramagnetism)
Why Drude Theory Works So WeU
Shortcomings of the Free Electron Model
Structure of Materials
The Periodic Table
Chemistry, Atoms, and the Schroedinger Equation
Structure of the Periodic Table
Periodic Trends
Effective Nuclear Charge
What Holds Solids Together: Chemical Bonding
Ionic Bonds
Covalent Bond
Particle in a Box Picture
Molecular Orbital or Tight Binding Theory
Van der Waals, Fluctuating Dipole Forces, or Molecular Bonding
Metallic Bonding
Hydrogen Bonds
Types of Matter
Toy Models of Solids in One Dimension
One-Dimensional Model of Compressibility, Sound, and Thermal Expansion
Vibrations of a One-Dimensional Monatomic Chain
First Exposure to the Reciprocal Lattice
Properties of the Dispersion of the One-Dimensional Chain
Quantum Modes: Phonons
Crystal Momentum
Vibrations of a One-Dimensional Diatomic Chain
Diatomic Crystal Structure: Some Useful Definitions
Normal Modes of the Diatomic Solid
Tight Binding Chain (Interlude and Preview)
Tight Binding Model in One Dimension
Solution of the Tight Binding Chain
Introduction to Electrons Filling Bands
Multiple Bands
Geometry of Solids
Crystal Structure
Lattices and Unit Cells
Lattices in Three Dimensions
The Body-Centered Cubic (bcc) Lattice
The Face-Centered Cubic (fcc) Lattice
Sphere Packing
Other Lattices in Three Dimensions
Some Real Crystals
Reciprocal Lattice, Brillouin Zone, Waves in Crystals
The Reciprocal1 Lattice in Three Dimensions
Review of One Dimension
Reciprocal Lattice Definition
The Reciprocal Lattice as a Fourier Transform
Reciprocal Lattice Points as Families of Lattice Planes
Lattice Planes and Miller Indices
Brillouin Zones
Review of One-Dimensional Dispersions and Brillouin Zones
General Brillouin Zone Construction
Electronic and Vibrational Waves in Crystals in Three Dimensions
Neutron and X-Ray Diffraction
Wave Scattering by Crystals
The Laue and Bragg Conditions
Fermi's Golden Rule Approach
Diffraction Approach
Equivalence of Laue and Bragg conditions
Scattering Amplitudes
Simple Example
Systematic Absences and More Examples
Geometric Interpretation of Selection Rules
Methods of Scattering Experiments
Advanced Methods
Powder Diffraction
Still More About Scattering
Scattering in Liquids and Amorphous Solids
Variant: Inelastic Scattering
Experimental Apparatus
Electrons in Solids
Electrons in a Periodic Potential
Nearly Free Electron Model
Degenerate Perturbation Theory
Bloch's Theorem
Insulator, Semiconductor, or Metal
Energy Bands in One Dimension
Energy Bands in Two and Three Dimensions
Tight Binding
Failures of the Band-Structure Picture of Metals and Insulators
Band Structure and Optical Properties
Optical Properties of Insulators and Semiconductors
Direct and Indirect Transitions
Optical Properties of Metals
Optical Effects of Impurities
Semiconductor Physics
Electrons and Holes
Drude Transport: Redux
Adding Electrons or Holes with Impurities: Doping
Impurity States
Statistical Mechanics of Semiconductors
Semiconductor Devices
Band Structure Engineering
Designing Band Gaps
Non-Homogeneous Band Gaps
p-n Junction
The Transistor
Magnetism and Mean Field Theories
Magnetic Properties of Atoms: Para- and Dia-Magnetism
Basic Definitions of Types of Magnetism
Atomic Physics: Hund's Rules
Why Moments Align
Coupling of Electrons in Atoms to an External Field
Free Spin (Curie or Langevin) Paramagnetism
Larmor Diamagnetism
Atoms in Solids
Pauli Paramagnetism in Metals
Diamagnetism in Solids
Curie Paramagnetism in Solids
Spontaneous Magnetic Order: Ferro-, Antiferro-, and Ferri-Magnetism
(Spontaneous) Magnetic Order
Breaking Symmetry
Ising Model
Domains and Hysteresis
Macroscopic Effects in Ferromagnets: Domains
Domain Wall Structure and the Bloch/N�el Wall
Hysteresis in Ferromagnets
Disorder Pinning
Single-Domain Crystallites
Domain Pinning and Hysteresis
Mean Field Theory
Mean Field Equations for the Ferromagnetic Ising Model
Solution of Self-Consistency Equation
Paramagnetic Susceptibility
Further Thoughts
Magnetism from Interactions: The Hubbard Model
Itinerant Ferromagnetism
Hubbard Ferromagnetism Mean Field Theory
Stoner Criterion
Mott Antiferromagnetism
Appendix: Hubbard Model for the Hydrogen Molecule
Sample Exam and Solutions
List of Other Good Books
Index of People
Index of Topics
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