Buch, Englisch, 590 Seiten, Format (B × H): 187 mm x 263 mm, Gewicht: 1358 g
Reihe: In a Nutshell
Buch, Englisch, 590 Seiten, Format (B × H): 187 mm x 263 mm, Gewicht: 1358 g
Reihe: In a Nutshell
ISBN: 978-0-691-14016-2
Verlag: Princeton University Press
Condensed Matter in a Nutshell is the most concise, accessible, and self-contained introduction to this exciting and cutting-edge area of modern physics. This premier textbook covers all the standard topics, including crystal structures, energy bands, phonons, optical properties, ferroelectricity, superconductivity, and magnetism. It includes in-depth discussions of transport theory, nanoscience, and semiconductors, and also features the latest experimental advances in this fast-developing field, such as high-temperature superconductivity, the quantum Hall effect, graphene, nanotubes, localization, Hubbard models, density functional theory, phonon focusing, and Kapitza resistance. Rich in detail and full of examples and problems, this textbook is the complete resource for a two-semester graduate course in condensed matter and material physics.Covers standard topics like crystal structures, energy bands, and phonons Features the latest advances like high-temperature superconductivity and more Full of instructive examples and challenging problems Solutions manual (available only to teachers)
Autoren/Hrsg.
Weitere Infos & Material
Preface xiii
Chapter 1: Introduction 1
1.1 1900-1910 1
1.2 Crystal Growth 2
1.3 Materials by Design 4
1.4 Artificial Structures 5
Chapter 2: Crystal Structures 9
2.1 Lattice Vectors 9
2.2 Reciprocal Lattice Vectors 11
2.3 Two Dimensions 13
2.4 Three Dimensions 15
2.5 Compounds 19
2.6 Measuring Crystal Structures 21
2.6.1 X-ray Scattering 22
2.6.2 Electron Scattering 23
2.6.3 Neutron Scattering 23
2.7 Structure Factor 25
2.8 EXAFS 26
2.9 Optical Lattices 28
Chapter 3: Emergy Bands 31
3.1 Bloch's Theorem 31
3.1.1 Floquet's Theorem 32
3.2 Nearly Free Electron Bands 36
3.2.1 Periodic Potentials 36
3.3 Tight-binding Bands 38
3.3.1 s-State Bands 38
3.3.2 p-State Bands 41
3.3.3 Wannier Functions 43
3.4 Semiconductor Energy Bands 44
3.4.1 What Is a Semiconductor? 44
3.4.2 Si, Ge, GaAs 47
3.4.3 HgTe and CdTe 50
3.4.4 k ? p Theory 51
3.4.5 Electron Velocity 55
3.5 Density of States 55
3.5.1 Dynamical Mean Field Theory 58
3.6 Pseudopotentials 60
3.7 Measurement of Energy Bands 62
3.7.1 Cyclotron Resonance 62
3.7.2 Synchrotron Band Mapping 63
Chapter 4: Insulators 68
4.1 Rare Gas Solids 68
4.2 Ionic Crystals 69
4.2.1 Madelung energy 71
4.2.2 Polarization Interactions 72
4.2.3 Van der Waals Interaction 75
4.2.4 Ionic Radii 75
4.2.5 Repulsive Energy 76
4.2.6 Phonons 77
4.3 Dielectric Screening 78
4.3.1 Dielectric Function 78
4.3.2 Polarizabilities 80
4.4 Ferroelectrics 82
4.4.1 Microscopic Theory 83
4.4.2 Thermodynamics 87
4.4.3 SrTiO3 89
4.4.4 BaTiO3 91
Chapter 5: Free Electron Metals 94
5.1 Introduction 94
5.2 Free Electrons 96
5.2.1 Electron Density 96
5.2.2 Density of States 97
5.2.3 Nonzero Temperatures 98
5.2.4 Two Dimensions 101
5.2.5 Fermi Surfaces 102
5.2.6 Thermionic Emission 104
5.3 Magnetic Fields 105
5.3.1 Integer Quantum Hall Effect 107
5.3.2 Fractional Quantum Hall Effect 110
5.3.3 Composite Fermions 113
5.3.4 deHaas-van Alphen Effect 113
5.4 Quantization of Orbits 117
5.4.1 Cyclotron Resonance 119
Chapter 6: Electron-Electron Interactions 127
6.1 Second Quantization 128
6.1.1 Tight-binding Models 131
6.1.2 Nearly Free Electrons 131
6.1.3 Hartree Energy: Wigner-Seitz 134
6.1.4 Exchange Energy 136
6.1.5 Compressibility 138
6.2 Density Operator 141
6.2.1 Two Theorems 142
6.2.2 Equations of Motion 143
6.2.3 Plasma Oscillations 144
6.2.4 Exchange Hole 146
6.3 Density Functional Theory 148
6.3.1 Functional Derivatives 149
6.3.2 Kinetic Energy 150
6.3.3 Kohn-Sham Equations 151
6.3.4 Exchange and Correlation 152
6.3.5 Application to Atoms 154
6.3.6 Time-dependent Local Density Approximation 155
6.3.7 TDLDA in Solids 157
6.4 Dielectric Function 158
6.4.1 Random Phase Approximation 159
6.4.2 Properties of P (q, w) 161
6.4.3 Hubbard-Singwi Dielectric Functions 164
6.5 Impurities in Metals 165
6.5.1 Friedel Analysis 166
6.5.2 RKKY Interaction 170
Chapter 7: Phonons 176
7.1 Phonon Dispersion 176
7.1.1 Spring Constants 177
7.1.2 Example: Square Lattice 179
7.1.3 Polar Crystals 181
7.1.4 Phonons 181
7.1.5 Dielectric Function 185
7.2 Phonon Operators 187
7.2.1 Simple Harmonic Oscillator 187
7.2.2 Phonons in One Dimension 189
7.2.3 Binary Chain 192
7.3 Phonon Density of States 195
7.3.1 Phonon Heat Capacity 197
7.3.2 Isotopes 199
7.4 Local Modes 203
7.5 Elasticity 205
7.5.1 Stress and Strain 205
7.5.2 Isotropic Materials 208
7.5.3 Boundary Conditions 210
7.5.4 Defect Interactions 211
7.5.5 Piezoelectricity 214
7.5.6 Phonon Focusing 215
7.6 Thermal Expansion 216
7.7 Debye-Waller Factor 217
7.8 Solitons 220
7.8.1 Solitary Waves 220
7.8.2 Cnoidal Functions 222
7.8.3 Periodic Solutions 223
Chapter 8: Boson Systems 230
8.1 Second Quantization 23
