Condensed matter physics /

Saved in:

Bibliographic Details
Author / Creator:	Marder, Michael P., 1960-
Imprint:	New York : John Wiley & Sons Inc., c2000.
Description:	xxvi, 895 p. : ill. ; 26 cm.
Language:	English
Subject:	Condensed matter. Solid state physics. Condensed matter. Solid state physics.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/4183137

Hidden Bibliographic Details
ISBN:	0471177792 (alk. paper)
Notes:	Includes bibliographical references and index.

Table of Contents:

Preface
References
I. Atomic Structure
1. The Idea of Crystals
1.1. Introduction
1.1.1. Why are Solids Crystalline?
1.2. Two-Dimensional Lattices
1.2.1. Bravais Lattices
1.2.2. Enumeration of Two-Dimensional Bravais Lattices
1.2.3. Lattices with Bases
1.2.4. Primitive Cells
1.2.5. Wigner-Seitz Cells
1.3. Symmetries
1.3.1. The Space Group
1.3.2. Translation and Point Groups
Problems
References
2. Three-Dimensional Lattices
2.1. Introduction
2.1.1. Distribution Among Elements
2.2. Monatomic Lattices
2.2.1. The Simple Cubic Lattice
2.2.2. The Face-Centered Cubic Lattice
2.2.3. The Body-Centered Cubic Lattice
2.2.4. The Hexagonal Lattice
2.2.5. The Hexagonal Close-Packed Lattice
2.2.6. The Diamond Lattice
2.3. Compounds
2.3.1. Rocksalt--Sodium Chloride
2.3.2. Cesium Chloride
2.3.3. Fluorite--Calcium Fluoride
2.3.4. Zincblende--Zinc Sulfide
2.3.5. Wurtzite--Zinc Oxide
2.3.6. Perovskite--Calcium Titanate
2.4. Classification of Lattices by Symmetry
2.4.1. Fourteen Bravais Lattices and Seven Crystal Systems
2.5. Symmetries of Lattices with Bases
2.5.1. Thirty-Two Crystallographic Point Groups
2.5.2. Two Hundred Thirty Distinct Lattices
2.6. Some Macroscopic Implications of Microscopic Symmetries
2.6.1. Pyroelectricity
2.6.2. Piezoelectricity
2.6.3. Optical Activity
Problems
References
3. Experimental Determination of Crystal Structures
3.1. Introduction
3.2. Theory of Scattering from Crystals
3.2.1. Lattice Sums
3.2.2. Reciprocal Lattice
3.2.3. Miller Indices
3.2.4. Scattering from a Lattice with a Basis
3.3. Experimental Methods
3.3.1. Laue Method
3.3.2. Rotating Crystal Method
3.3.3. Powder Method
3.4. Further Features of Scattering Experiments
3.4.1. Interaction of X-Rays with Matter
3.4.2. Production of X-Rays
3.4.3. Neutrons
3.4.4. Electrons
3.4.5. Deciphering Complex Structures
3.4.6. Accuracy of Structure Determinations
Problems
References
4. Surfaces and Interfaces
4.1. Introduction
4.2. Geometry of Interfaces
4.2.1. Coherent and Commensurate Interfaces
4.2.2. Stacking Period and Interplanar Spacing
4.2.3. Other Topics in Surface Structure
4.3. Experimental Observation and Creation of Surfaces
4.3.1. Low-Energy Electron Diffraction (LEED)
4.3.2. Reflection High-Energy Electron Diffraction (RHEED)
4.3.3. Molecular Beam Epitaxy (MBE)
4.3.4. Field Ion Microscopy (FIM)
4.3.5. Scanning Tunneling Microscopy (STM)
4.3.6. Atomic Force Microscopy (AFM)
4.3.7. High Resolution Electron Microscopy (HREM)
Problems
References
5. Complex Structures
5.1. Introduction
5.2. Alloys
5.2.1. Equilibrium Structures
5.2.2. Phase Diagrams
5.2.3. Superlattices
5.2.4. Phase Separation
5.2.5. Nonequilibrium Structures in Alloys
5.2.6. Dynamics of Phase Separation
5.3. Simulations
5.3.1. Monte Carlo
5.3.2. Molecular Dynamics
5.4. Liquids
5.4.1. Correlation Functions
5.4.2. Extended X-Ray Absorption Fine Structure (EXAFS)
5.4.3. Calculating Correlation Functions
5.5. Glasses
5.6. Liquid Crystals
5.6.1. Nematics, Cholesterics, and Smectics
5.6.2. Liquid Crystal Order Parameter
5.7. Polymers
5.7.1. Ideal Radius of Gyration
5.8. Quasicrystals
5.8.1. One-Dimensional Quasicrystal
5.8.2. Two-Dimensional Quasicrystals--Penrose Tiles
5.8.3. Experimental Observations
5.8.4. Fullerenes
Problems
References
II. Electronic Structure
6. The Single-Electron Model
6.1. Introduction
6.2. The Basic Hamiltonian
6.3. Densities of States
6.3.1. Definition of Density of States D
6.3.2. Results for Free Electrons
6.4. Statistical Mechanics of Noninteracting Electrons
6.5. Sommerfeld Expansion
6.5.1. Specific Heat of Noninteracting Electrons at Low Temperatures
Problems
References
7. The Schrodinger Equation and Symmetry
7.1. Introduction
7.2. Translational Symmetry--Bloch's Theorem
7.2.1. Van Hove Singularities
7.2.2. Fourier Analysis of Bloch's Theorem
7.2.3. Kronig-Penney Model
7.3. Rotational Symmetry--Group Representations
7.3.1. Classes and Characters
7.3.2. Consequences of point group symmetries for Schrodinger's equation
Problems
References
8. Nearly Free and Tightly Bound Electrons
8.1. Introduction
8.2. Nearly Free Electrons
8.2.1. Degenerate Perturbation Theory
8.3. Brillouin Zones
8.3.1. Nearly Free Electron Fermi Surfaces
8.4. Tightly Bound Electrons
8.4.1. Wannier Functions
8.4.2. Tight Binding Model
Problems
References
9. Electron-Electron Interaction
9.1. Introduction
9.2. Hartree and Hartree-Fock Equations
9.2.1. Variational Principle
9.2.2. Hartree-Fock Equations
9.2.3. Numerical Implementation
9.2.4. Hartree-Fock Equations for Jellium
9.3. Density Functional Theory
9.3.1. Thomas-Fermi Theory
9.3.2. Kohn-Sham Equations
9.4. Stability of Matter
Problems
References
10. Calculation of Band Structures
10.1. Introduction
10.2. Numerical Methods
10.2.1. Pseudopotentials and Orthogonalized Planes Waves (OPW)
10.2.2. Linear Combination of Atomic Orbitals (LCAO)
10.2.3. Plane Waves
10.2.4. Linear Augmented Plane Waves (LAPW)
10.2.5. Linearized Muffin Tin Orbitals (LMTO)
10.3. Definition of Metals, Insulators, and Semiconductors
10.4. Brief Survey of the Periodic Table
10.4.1. Noble Gases
10.4.2. Nearly Free Electron Metals
10.4.3. Semiconductors
10.4.4. Transition Metals
10.4.5. Rare Earths
Problems
References
III. Mechanical Properties
11. Cohesion of Solids
11.1. Introduction
11.1.1. Radii of Atoms
11.2. Noble Gases
11.3. Ionic Crystals
11.3.1. Ewald Sums
11.4. Metals
11.4.1. Use of Pseudopotentials
11.5. Band Structure Energy
11.5.1. Peierls Distortion
11.5.2. Structural Phase Transitions
11.6. Hydrogen-Bonded Solids
11.7. Cohesive Energy from Band Calculations
11.8. Classical Potentials
Problems
References
12. Elasticity
12.1. Introduction
12.2. General Theory of Linear Elasticity
12.2.1. Solids of Cubic Symmetry
12.2.2. Isotropic Solids
12.3. Other Constitutive Laws
12.3.1. Liquid Crystals
12.3.2. Rubber
12.3.3. Composite and Granular Materials
Problems
References
13. Phonons
13.1. Introduction
13.2. Vibrations of a Classical Lattice
13.2.1. Normal Modes
13.2.2. Lattice with a Basis
13.3. Vibrations of a Quantum-Mechanical Lattice
13.3.1. Phonon Specific Heat
13.3.2. Einstein and Debye Models
13.3.3. Thermal Expansion
13.4. Inelastic Scattering from Phonons
13.4.1. Neutron Scattering
13.4.2. Formal Theory of Neutron Scattering
13.4.3. Averaging Exponentials
13.4.4. Evaluation of Structure Factor
13.4.5. Kohn Anomalies
13.5. The Mossbauer Effect
Problems
References
14. Dislocations and Cracks
14.1. Introduction
14.2. Dislocations
14.2.1. Experimental Observations of Dislocations
14.2.2. Force to Move a Dislocation
14.2.3. One-Dimensional Dislocations: Frenkel-Kontorova Model
14.3. Two-Dimensional Dislocations and Hexatic Phases
14.3.1. Impossibility of Crystalline Order in Two Dimensions
14.3.2. Orientational Order
14.3.3. Kosterlitz-Thouless-Berezinskii Transition
14.4. Cracks
14.4.1. Fracture of a Strip
14.4.2. Stresses Around an Elliptical Hole
14.4.3. Stress Intensity Factor
14.4.4. Atomic Aspects of Fracture
Problems
References
15. Fluid Mechanics
15.1. Introduction
15.2. Newtonian Fluids
15.2.1. Euler's Equation
15.2.2. Navier-Stokes Equation
15.3. Polymeric Solutions
15.4. Plasticity
15.5. Superfluid [superscript 4]He
15.5.1. Two-Fluid Hydrodynamics
15.5.2. Second Sound
15.5.3. Origin of Superfluidity
15.5.4. Lagrangian Theory of Wave Function
15.5.5. Superfluid [superscript 3]He
Problems
References
IV. Electron Transport
16. Dynamics of Bloch Electrons
16.1. Introduction
16.1.1. Drude Model
16.2. Semiclassical Electron Dynamics
16.2.1. Bloch Oscillations
16.2.2. k.P Method
16.2.3. Effective Mass
16.3. Noninteracting Electrons in an Electric Field
16.3.1. Zener Tunneling
16.4. Semiclassical Equations from Wave Packets
16.4.1. Formal Dynamics of Wave Packets
16.5. Quantizing Semiclassical Dynamics
16.5.1. Wannier-Stark Ladders
16.5.2. de Haas-van Alphen Effect
16.5.3. Experimental Measurements of Fermi Surfaces
Problems
References
17. Transport Phenomena and Fermi Liquid Theory
17.1. Introduction
17.2. Boltzmann Equation
17.2.1. Boltzmann Equation
17.2.2. Relaxation Time Approximation
17.2.3. Relation to Rate of Production of Entropy
17.3. Transport Symmetries
17.3.1. Onsager Relations
17.4. Thermoelectric Phenomena
17.4.1. Electrical Current
17.4.2. Effective Mass and Holes
17.4.3. Mixed Thermal and Electrical Gradients
17.4.4. Wiedemann-Franz Law
17.4.5. Thermopower--Seebeck Effect
17.4.6. Peltier Effect
17.4.7. Thomson Effect
17.4.8. Hall Effect
17.4.9. Magnetoresistance
17.4.10. Giant Magnetoresistance
17.5. Fermi Liquid Theory
17.5.1. Basic Ideas
17.5.2. Statistical Mechanics of Quasi-Particles
17.5.3. Effective Mass
17.5.4. Specific Heat
17.5.5. Fermi Liquid Parameters
17.5.6. Traveling Waves
17.5.7. Comparison with Experiment in [superscript 3]He
Problems
References
18. Microscopic Theories of Conduction
18.1. Introduction
18.2. Weak Scattering Theory of Conductivity
18.2.1. General Formula for Relaxation Time
18.2.2. Matthiessen's Rule
18.2.3. Fluctuations
18.3. Metal-Insulator Transitions
18.3.1. Types of Impurities
18.3.2. Impurity Scattering and Green's Functions
18.3.3. Green's Functions
18.3.4. Single Impurity
18.4. Coherent Potential Approximation
18.5. Localization
18.5.1. Exact Results in One Dimension
18.5.2. Scaling Theory of Localization
18.5.3. Comparison with Experiment
Problems
References
19. Electronics
19.1. Introduction
19.2. Metal Interfaces
19.2.1. Work Functions
19.2.2. Schottky Barrier
19.2.3. Contact Potentials
19.3. Semiconductors
19.3.1. Pure Semiconductors
19.3.2. Semiconductor in Equilibrium
19.3.3. Intrinsic Semiconductor
19.3.4. Extrinsic Semiconductor
19.4. Diodes and Transistors
19.4.1. Surface States
19.4.2. Semiconductor Junctions
19.4.3. Boltzmann Equation for Semiconductors
19.4.4. Detailed Theory of Rectification
19.4.5. Transistor
19.5. Inversion Layers
19.5.1. Heterostructures
19.5.2. Quantum Point Contact
19.5.3. Quantum Dot
Problems
References
V. Optical Properties
20. Phenomenological Theory
20.1. Introduction
20.2. Maxwell's Equations
20.2.1. Traveling Waves
20.2.2. Mechanical Oscillators as Dielectric Function
20.3. Kramers-Kronig Relations
20.3.1. Application to Optical Experiments
20.4. The Kubo-Greenwood Formula
20.4.1. Born Approximation
20.4.2. Susceptibility
20.4.3. Many-Body Green Functions
Problems
References
21. Optical Properties of Semiconductors
21.1. Introduction
21.2. Cyclotron Resonance
21.2.1. Electron Energy Surfaces
21.3. Semiconductor Band Gaps
21.3.1. Direct Transitions
21.3.2. Indirect Transitions
21.4. Excitons
21.4.1. Mott-Wannier Excitons
21.4.2. Frenkel Excitons
21.4.3. Electron-Hole Liquid
21.5. Optoelectronics
21.5.1. Solar Cells
21.5.2. Lasers
Problems
References
22. Optical Properties of Insulators
22.1. Introduction
22.2. Polarization
22.2.1. Ferroelectrics
22.2.2. Clausius-Mossotti Relation
22.3. Optical Modes in Ionic Crystals
22.3.1. Polaritons
22.3.2. Polarons
22.3.3. Experimental Observations of Polarons
22.4. Point Defects and Color Centers
22.4.1. Vacancies
22.4.2. F Centers
22.4.3. Electron Spin Resonance and Electron Nuclear Double Resonance
22.4.4. Other Centers
22.4.5. Franck-Condon Effect
22.4.6. Urbach Tails
Problems
References
23. Optical Properties of Metals and Inelastic Scattering
23.1. Introduction
23.1.1. Plasma Frequency
23.2. Metals at Low Frequencies
23.2.1. Anomalous Skin Effect
23.3. Plasmons
23.3.1. Experimental Observation of Plasmons
23.4. Interband Transitions
23.5. Brillouin and Raman Scattering
23.5.1. Brillouin Scattering
23.5.2. Raman Scattering
23.5.3. Inelastic X-Ray Scattering
23.6. Photoemission
23.6.1. Measurement of Work Functions
23.6.2. Angle-Resolved Photoemission
23.6.3. Core-Level Photoemission and Charge-Transfer Insulators
Problems
References
VI. Magnetism
24. Classical Theories of Magnetism and Ordering
24.1. Introduction
24.2. Three Views of Magnetism
24.2.1. From Magnetic Moments
24.2.2. From Conductivity
24.2.3. From a Free Energy
24.3. Magnetic Dipole Moments
24.3.1. Spontaneous Magnetization of Ferromagnets
24.3.2. Ferrimagnets
24.3.3. Antiferromagnets
24.4. Mean Field Theory and the Ising Model
24.4.1. Domains
24.4.2. Hysteresis
24.5. Other Order-Disorder Transitions
24.5.1. Alloy Superlattices
24.5.2. Spin Glasses
24.6. Critical Phenomena
24.6.1. Landau Free Energy
24.6.2. Scaling Theory
Problems
References
25. Magnetism of Ions and Electrons
25.1. Introduction
25.2. Atomic Magnetism
25.2.1. Hund's Rules
25.2.2. Curie's Law
25.3. Magnetism of the Free-Electron Gas
25.3.1. Pauli Paramagnetism
25.3.2. Landau Diamagnetism
25.3.3. Aharonov-Bohm Effect
25.4. Tightly Bound Electrons in Magnetic Fields
25.5. Quantum Hall Effect
25.5.1. Integer Quantum Hall Effect
25.5.2. Fractional Quantum Hall Effect
Problems
References
26. Quantum Mechanics of Interacting Magnetic Moments
26.1. Introduction
26.2. Origin of Ferromagnetism
26.2.1. Heitler-London Calculation
26.2.2. Spin Hamiltonian
26.3. Heisenberg Model
26.3.1. Indirect Exchange and Superexchange
26.3.2. Ground State
26.3.3. Spin Waves
26.3.4. Spin Waves in Antiferromagnets
26.3.5. Comparison with Experiment
26.4. Ferromagnetism in Transition Metals
26.4.1. Stoner Model
26.4.2. Calculations Within Band Theory
26.5. Kondo Effect
26.5.1. Scaling Theory
26.6. Hubbard Model
26.6.1. Mean-Field Solution
Problems
References
27. Superconductivity
27.1. Introduction
27.2. Phenomenology of Superconductivity
27.2.1. Phenomenological Free Energy
27.2.2. Thermodynamics of Superconductors
27.2.3. Landau-Ginzburg Free Energy
27.2.4. Type I and Type II Superconductors
27.2.5. Flux Quantization
27.2.6. The Josephson Effect
27.2.7. Circuits with Josephson Junction Elements
27.2.8. SQUIDS
27.2.9. Origin of Josephson's Equations
27.3. Microscopic Theory of Superconductivity
27.3.1. Electron-Ion Interaction
27.3.2. Formal Derivation
27.3.3. Instability of the Normal State: Cooper Problem
27.3.4. Self-Consistent Ground State
27.3.5. Thermodynamics of Superconductors
27.3.6. Superconductor in External Magnetic Field
27.3.7. Derivation of Meissner Effect
27.3.8. Comparison with Experiment
27.3.9. High-Temperature Superconductors
Problems
References
Appendices
A. Lattice Sums and Fourier Transforms
A.1. One-Dimensional Sum
A.2. Area Under Peaks
A.3. Three-Dimensional Sum
A.4. Discrete Case
A.5. Convolution
A.6. Using the Fast Fourier Transform
References
B. Variational Techniques
B.1. Functionals and Functional Derivatives
B.2. Time-Independent Schrodinger Equation
B.3. Time-Dependent Schrodinger Equation
B.4. Method of Steepest Descent
References
C. Second Quantization
C.1. Rules
C.1.1. States
C.1.2. Operators
C.1.3. Hamiltonians
C.2. Derivations
C.2.1. Bosons
C.2.2. Fermions
Index

Condensed matter physics /

Similar Items