Table of contents for Condensed matter physics / Michael P. Marder.


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PART I: ATOMIC STRUCTURE

Chapter 1: The Idea of Crystals
Introduction
Why are Solids Crystalline?
Two-Dimensional Lattices
Bravais Lattices
Enumeration of Two-Dimensional Bravais Lattices
Lattices with Bases 
Primitive Cells 
Wigner--Seitz Cells
Symmetries
The Space Group
Translation and Point Groups
Problems, 
References

Chapter 2: Three-Dimensional Lattices
Introduction
Distribution Among Elements
Monatomic Lattices
The Simple Cubic Lattice
The Face-Centered Cubic Lattice
The Body-Centered Cubic Lattice
The Hexagonal Lattice
The Hexagonal Close-Packed Lattice
The Diamond Lattice
Compounds
Rocksalt---Sodium Chloride
Cesium Chloride
Fluorite---Calcium Fluoride
Zincblende---Zinc Sulfide
Wurtzite---Zinc Oxide
Perovskite---Calcium Titanate 
Classification of Lattices by Symmetry
Fourteen Bravais Lattices and Seven Crystal
Systems
Symmetries of Lattices with Bases
Thirty-Two Crystallographic Point Groups
Two Hundred Thirty Distinct Lattices
Some Macroscopic Implications of Microscopic
Symmetries
Pyroelectricity
Piezoelectricity
Optical Activity
Problems
References

Chapter 3: Experimental Determination of Crystal Structures
Introduction
Theory of Scattering from Crystals
Lattice Sums
Reciprocal Lattice
Miller Indices
Scattering from a Lattice with a Basis 
Experimental Methods
Laue Method 
Rotating Crystal Method 
Powder Method
Further Features of Scattering Experiments
Interaction of X-Rays with Matter
Production of X-Rays
Neutrons
Electrons
Deciphering Complex Structures
Accuracy of Structure Determinations
Problems
References

Chapter 4: Surfaces and Interfaces
Introduction
Geometry of Interfaces
Coherent and Commensurate Interfaces
Stacking Period and Interplanar Spacing
Other Topics in Surface Structure 
Experimental Observation and Creation of Surfaces
Low-Energy Electron Diffraction (LEED)
Reflection High-Energy Electron Diffraction (RHEED) 
Molecular Beam Epitaxy (MBE)
Field Ion Microscopy (FIM) 
Scanning Tunneling Microscopy (STM)
Atomic Force Microscopy (AFM)
High Resolution Electron Microscopy (HREM) Problems
References 

Chapter 5: Complex Structures
Introduction
Alloys
Equilibrium Structures
Phase Diagrams
Superlattices
Phase Separation
Nonequilibrium Structures in Alloys
Dynamics of Phase Separation
Simulations
Monte Carlo
Molecular Dynamics
Liquids
Correlation Functions
Extended X-Ray Absorption Fine Structure (EXAFS)
Calculating Correlation Functions
Glasses 
Liquid Crystals 
Nematics, Cholesterics, and Smectics 
Liquid Crystal Order Parameter
Polymers
Ideal Radius of Gyration
Quasicrystals
One-Dimensional Quasicrystal
Two-Dimensional Quasicrystals---Penrose Tiles
Experimental Observations
Fullerenes
Problems
References

PART II: ELECTRONIC STRUCTURE

Chapter 6: The Single-Electron Model
Introduction
The Basic Hamiltonian
Densities of States
Definition of Density of States ${D, page {140} 
Results for Free Electrons
Statistical Mechanics of Noninteracting Electrons,
Sommerfeld Expansion
Specific Heat of Noninteracting Electrons at Low Temperatures
Problems
References

Chapter 7: The Schroedinger Equation and Symmetry
Introduction
Translational Symmetry---Bloch's Theorem
Van Hove Singularities
Fourier Analysis of Bloch's Theorem
Kronig--Penney Model
Rotational Symmetry---Group Representations,
Classes and Characters
Consequences of point group symmetries for Schr\"odinger's equation
Problems
References

Chapter 8: Nearly Free and Tightly Bound Electrons
Introduction
Nearly Free Electrons
Degenerate Perturbation Theory
Brillouin Zones
Nearly Free Electron Fermi Surfaces
Tightly Bound Electrons
Wannier Functions
Tight Binding Model
Problems
References

Chapter 9: Electron--Electron Interactions
Introduction
Hartree and Hartree--Fock Equations
Variational Principle
Hartree--Fock Equations
Numerical Implementation
Hartree--Fock Equations for Jellium 
Density Functional Theory
Thomas--Fermi Theory
Kohn--Sham Equations
Stability of Matter
Problems
References

Chapter 10: Calculation of Band Structures
Introduction
Numerical Methods
Pseudopotentials and Orthogonalized Planes Waves (OPW) 
Linear Combination of Atomic Orbitals (LCAO)
Plane Waves
Linear Augmented Plane Waves (LAPW)
Linearized Muffin Tin Orbitals (LMTO)
Definition of Metals, Insulators, and Semiconductors
Brief Survey of the Periodic Table 
Noble Gases
Nearly Free Electron Metals 
Semiconductors
Transition Metals
Rare Earths
Problems
References

PART III: MECHANICAL PROPERTIES

Chapter 11: Cohesion of Solids
Introduction
Radii of Atoms
Noble Gases
Ionic Crystals
Ewald Sums
Metals
Use of Pseudopotentials
Band Structure Energy
Peierls Distortion 
Structural Phase Transitions
Hydrogen-Bonded Solids
Cohesive Energy from Band Calculations Classical Potentials 
Problems
References

Chapter 12: Elasticity
Introduction 
General Theory of Linear Elasticity 
Solids of Cubic Symmetry 
Isotropic Solids 
Other Constitutive Laws 
Liquid Crystals 
Rubber
Composite and Granular Materials
Problems 
References

Chapter 13: Phonons
Introduction
Vibrations of a Classical Lattice
Normal Modes
Lattice with a Basis
Vibrations of a Quantum--Mechanical Lattice
Phonon Specific Heat
Einstein and Debye Models
Thermal Expansion
Inelastic Scattering from Phonons
Neutron Scattering 
Formal Theory of Neutron Scattering 
Averaging Exponentials 
Evaluation of Structure Factor
Kohn Anomalies
The M\"ossbauer Effect 
Problems 
References

Chapter 14: Dislocations and Cracks
Introduction
Dislocations
Experimental Observations of Dislocations
Force to Move a Dislocation
One-Dimensional Dislocations: Frenkel--Kontorova Model
Two-Dimensional Dislocations and Hexatic Phases
Impossibility of Crystalline Order in Two Dimensions
Orientational Order
Kosterlitz--Thouless--Berezinskii Transition
Cracks
Fracture of a Strip
Stresses Around an Elliptical Hole 
Stress Intensity Factor
Atomic Aspects of Fracture
Problems
References 

Chapter 15: Fluid Mechanics 
Introduction
Newtonian Fluids
Euler's Equation 
Navier--Stokes Equation 
Polymeric Solutions 
Plasticity
Superfluid $^4$He 
Two-Fluid Hydrodynamics 
Second Sound 
Origin of Superfluidity 
Lagrangian Theory of Wave Function 
Superfluid 3He
Problems
References

PART IV: ELECTRON TRANSPORT

Chapter 16: Dynamics of Bloch Electrons
Introduction
Drude Model
Semiclassical Electron Dynamics
Bloch Oscillations
k . P Method
Effective Mass
Noninteracting Electrons in an Electric Field 
Zener Tunneling
Semiclassical Equations from Wave Packets
Formal Dynamics of Wave Packets 
Quantizing Semiclassical Dynamics
Wannier--Stark Ladders
de Haas--van Alphen Effect 
Experimental Measurements of Fermi Surfaces,
Problems
References

Chapter 17: Transport Phenomena and Fermi Liquid Theory
Introduction
Boltzmann Equation
Boltzmann Equation
Relaxation Time Approximation
Relation to Rate of Production of Entropy
Transport Symmetries
Onsager Relations
Thermoelectric Phenomena
Electrical Current 
Effective Mass and Holes 
Mixed Thermal and Electrical Gradients
Wiedemann--Franz Law
Thermopower---Seebeck Effect
Peltier Effect 
Thomson Effect 
Hall Effect
Magnetoresistance
Giant Magnetoresistance
Fermi Liquid Theory
Basic Ideas 
Statistical Mechanics of Quasi-Particles
Effective Mass
Specific Heat 
Fermi Liquid Parameters
Traveling Waves
Comparison with Experiment in 3He
Problems 
References

Chapter 18: Microscopic Theories of Conduction
Introduction
Weak Scattering Theory of Conductivity
General Formula for Relaxation Time
Matthiessen's Rule
Fluctuations
Metal--Insulator Transitions
Types of Impurities
Impurity Scattering and Green's Functions
Green's Functions
Single Impurity
Coherent Potential Approximation
Localization
Exact Results in One Dimension
Scaling Theory of Localization
Comparison with Experiment 
Problems 
References

Chapter 19: Electronics
Introduction
Metal Interfaces
Work Functions
Schottky Barrier
Contact Potentials
Semiconductors
Pure Semiconductors
Semiconductor in Equilibrium
Intrinsic Semiconductor
Extrinsic Semiconductor 
Diodes and Transistors
Surface States
Semiconductor Junctions
Boltzmann Equation for Semiconductors
Detailed Theory of Rectification
Transistor
Inversion Layers
Heterostructures
Quantum Point Contact
Quantum Dot
Problems
References

PART V: OPTICAL PROPERTIES

Chapter 20:Phenomenological Theory
Introduction
Maxwell's Equations
Traveling Waves
Mechanical Oscillators as Dielectric Function, Kramers--Kronig Relations
Application to Optical Experiments
The Kubo--Greenwood Formula
Born Approximation
Susceptibility
Many-Body Green Functions
Problems
References

Chapter 21: Optical Properties of Semiconductors
Introduction
Cyclotron Resonance
Electron Energy Surfaces
Semiconductor Band Gaps
Direct Transitions
Indirect Transitions
Excitons
Mott--Wannier Excitons
Frenkel Excitons
Electron--Hole Liquid
Optoelectronics
Solar Cells
Lasers
Problems
References 

Chapter 22: Optical Properties of Insulators

Introduction
Polarization
Ferroelectrics
Clausius--Mossotti Relation
Optical Modes in Ionic Crystals
Polaritons
Polarons
Experimental Observations of Polarons
Point Defects and Color Centers
Vacancies
F Centers
Electron Spin Resonance and Electron Nuclear Double Resonance
Other Centers
Franck--Condon Effect
Urbach Tails
Problems
References

Chapter 23: Optical Properties of Metals and Inelastic Scattering

Introduction
Plasma Frequency
Metals at Low Frequencies
Anomalous Skin Effect
Plasmons
Experimental Observation of Plasmons
Interband Transitions
Brillouin and Raman Scattering
Brillouin Scattering 
Raman Scattering
Inelastic X-Ray Scattering
Photoemission
Measurement of Work Functions
Angle-Resolved Photoemission
Core-Level Photoemission and Charge-Transfer Insulators
Problems
References

PART VI: MAGNETISM

Chapter 24: Classical Theories of Magnetism and Ordering
Introduction
Three Views of Magnetism
From Magnetic Moments
From Conductivity
From a Free Energy
Magnetic Dipole Moments
Spontaneous Magnetization of Ferromagnets 
Ferrimagnets
Antiferromagnets
Mean Field Theory and the Ising Model
Domains 
Hysteresis
Other Order--Disorder Transitions
Alloy Superlattices
Spin Glasses
Critical Phenomena
Landau Free Energy
Scaling Theory
Problems
References

Chapter 25: Magnetism of Ions and Electrons
Introduction
Atomic Magnetism
Hund's Rules 
Curie's Law
Magnetism of the Free-Electron Gas
Pauli Paramagnetism
Landau Diamagnetism
Aharonov--Bohm Effect
Tightly Bound Electrons in Magnetic Fields
Quantum Hall Effect
Integer Quantum Hall Effect
Fractional Quantum Hall Effect 
Problems 
References

Chapter 26: Quantum Mechanics of Interacting
Magnetic Moments 
Introduction
Origin of Ferromagnetism 
Heitler--London Calculation
Spin Hamiltonian 
Heisenberg Model
Indirect Exchange and Superexchange
Ground State
Spin Waves
Spin Waves in Antiferromagnets
Comparison with Experiment
Ferromagnetism in Transition Metals
Stoner Model
Calculations Within Band Theory
Kondo Effect
Scaling Theory 
Hubbard Model 
Mean-Field Solution 
Problems 
References

Chapter 27: Superconductivity
Introduction
Phenomenology of Superconductivity
Phenomenological Free Energy
Thermodynamics of Superconductors
Landau--Ginzburg Free Energy
Type I and Type II Superconductors
Flux Quantization
The Josephson Effect
Circuits with Josephson Junction Elements
SQUIDS
Origin of Josephson's Equations
Microscopic Theory of Superconductivity
Electron--Ion Interaction
Formal Derivation 
Instability of the Normal State: Cooper Problem
Self-Consistent Ground State
Thermodynamics of Superconductors
Superconductor in External Magnetic Field
Derivation of Meissner Effect 
Comparison with Experiment
High-Temperature Superconductors
Problems
References

APPENDICES
Appendix A, Lattice Sums and Fourier Transforms,
One-Dimensional Sum 
Area Under Peaks 
Three-Dimensional Sum 
Discrete Case
Convolution
Using the Fast Fourier Transform
References

Appendix B, Variational Techniques
Functionals and Functional Derivatives
Time-Independent Schroedinger Equation
Time-Dependent Schroedinger Equation
Method of Steepest Descent
References

Appendix C, Second Quantization
Rules 
States 
Operators
Hamiltonians
Derivations
Bosons
Fermions
Index



Library of Congress subject headings for this publication: Condensed matter, Solid state physics