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