Fundamentals of condensed matter physics:
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| Format: | Buch |
| Sprache: | English |
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Cambridge
Cambridge University Press
[2016]
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| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | xiii, 446 Seiten Diagramme |
| ISBN: | 9780521513319 0521513316 |
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Datensatz im Suchindex
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| adam_text | FUNDAMENTALS OF CONDENSED MATTER PHYSICS
/ COHEN, MARVIN L.YYEAUTHOR
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
CONCEPT OF A SOLID: QUALITATIVE INTRODUCTION AND OVERVIEW
ELECTRONS IN CRYSTALS
ELECTRONIC ENERGY BANDS
LATTICE VIBRATIONS AND PHONONS
ELECTRON DYNAMICS IN CRYSTALS
MANY-ELECTRON INTERACTIONS: THE INTERACTING ELECTRON GAS AND BEYOND
DENSITY FUNCTIONAL THEORY
THE DIELECTRIC FUNCTION FOR SOLIDS
ELECTRONIC TRANSITIONS AND OPTICAL PROPERTIES OF SOLIDS
ELECTRON-PHONON INTERACTIONS
DYNAMICS OF CRYSTAL ELECTRONS IN A MAGNETIC FIELD
FUNDAMENTALS OF TRANSPORT PHENOMENA IN SOLIDS
USING MANY-BODY TECHNIQUES
SUPERCONDUCTIVITY
MAGNETISM
REDUCED DIMENSIONAL SYSTEMS AND NANOSTRUCTURES
DIESES SCHRIFTSTCK WURDE MASCHINELL ERZEUGT.
Titel: Fundamentals of condensed matter physics
Autor: Cohen, Marvin L
Jahr: 2016
Contents
I
Preface Page xi
Part I Basic concepts: electrons and phonons
1 Concept of a solid: qualitative introduction and overview 3
1.1 Classification of solids 3
1.2 A first model of a solid: interacting atoms 4
1.3 A second model: elementary excitations 6
1.4 Elementary excitations associated with solids and liquids 7
1.5 External probes 8
1.6 Dispersion curves 9
1.7 Graphical representation of elementary excitations
and probe particles 13
1.8 Interactions among particles 13
2 Electrons in crystals 20
2.1 General Hamiltonian 20
2.2 The Born-Oppenheimer adiabatic approximation 21
2.3 The mean-field approximation 22
2.4 The periodic potential approximation 22
2.5 Translational symmetry, periodicity, and lattices 23
3 Electronic energybands 31
3.1 Free electron model 31
3.2 Symmetries and energy bands 33
3.3 Nearly-free electron model 39
3.4 Tight-binding model 43
3.5 Electron (or hole) velocity in a band and the/-sum rule 48
3.6 Periodic boundary conditions and summing over band
states 52
3.7 Energy bands for materials 55
4 Lattice vibrationsand phonons 63
4.1 Lattice vibrations 63
4.2 Second quantization and phonons 71
vii
Contents
4.3 Response functions: heat capacity 77
4.4 Density of states 79
4.5 Critical points and van Hove singularities 84
Part I Problems 91
Part II Electron interactions, dynamics, and responses
5 Electron dynamics in crystals
5.1 Effective Hamiltonian and Wannier functions
5.2 Electron dynamics in the effective Hamiltonian approach
5.3 Shallow impurity states in semiconductors
5.4 Motion in external fields
5.5 Effective mass tensor
5.6 Equations of motion, Berry phase, and Berry curvature
6 Many-electron interactions: the homogeneous interacting electron gas
and beyond
6.1 The homogeneous interacting electron gas or jellium
model
6.2 Hartree-Fock treatment of the interacting electron gas
6.3 Ground-state energy: Hartree-Fock and beyond
6.4 Electron density and pair-correlation functions
6.5 g(r, r ) of the interacting electron gas
6.6 The exchange-correlation hole
6.7 The exchange-correlation energy
7 Density functional theory (OFT)
7.1 The ground State and density functional formalism
7.2 The Kohn-Sham equations
7.3 Ab initio pseudopotentials and density functional theory
7.4 Some applications of DFT to electronic, structural, vibrational,
and related ground-state properties 152
8 The dielectricfunction for solids 159
8.1 Linear response theory 159
8.2 Self-consistent field framework 163
8.3 The RPA dielectric function within DFT 164
8.4 The homogeneous electron gas 166
8.5 Some simple applications 169
8.6 Some other properties of the dielectric function 173
Part II Problems 178
101
101
103
107
108
113
114
119
121
123
126
130
132
135
136
141
142
144
150
Contents
Part III Optical and transport phenomena
9 Electronic transitions and optical properties ofsolids 185
9.1 Response fiinctions 185
9.2 The Drude model for metals 189
9.3 The transverse dielectric function 192
9.4 Interband optical transitions in semiconductors and insulators 196
9.5 Electron-hole interaction and exciton effects 201
10 Electron-phonon interactions 220
10.1 The rigid-ion model 220
10.2 Electron-phonon matrix elements for metals, insulators,
and semiconductors 224
10.3 Polarons 229
11 Dynamics ofcrystalelectrons in amagneticfield 235
11.1 Free electrons in a uniform magnetic field and Landau levels 235
11.2 Crystal electrons in a static Ä-field 237
11.3 Effective mass and real-space orbits 239
11.4 Quantum oscillations: periodicity in 1/2? and the de Haas-van
Alphen effect in metals 241
12 Fundamentals of transport phenomena in solids 248
12.1 Elementary treatment of magnetoresistance and the Hall effect 248
12.2 The integer quantum Hall effect 257
12.3 The Boltzmann equation formalism and transport in real materials 264
12.4 Electrical and thermal transport with the linearized
Boltzmann equation 271
Part III Problems 278
Part IV Many-body effects, superconductivity, magnetism, and
lower-dimensional Systems
13 Using many-body techniques 287
13.1 General formalism 287
13.2 Interacting Green s functions 291
13.3 Feynman diagrams and many-body perturbation theory techniques 298
14 Superconductivity 305
14.1 Brief discussion of the experimental background 305
14.2 Theories of superconductivity 311
14.3 Superconducting quasiparticle tunneling 349
Contents
14.4 Spectroscopies of superconductors 356
14.5 More general Solutions of the BCS gap equation 360
14.6 Field theoretical methods and BCS theory 368
15 Magnetism 372
15.1 Background 372
15.2 Diamagnetism 372
15.3 Paramagnetism 374
15.4 Ferromagnetism and antiferromagnetism 377
15.5 Magnetism in metals 386
15.6 Magnetic impurities and local correlation effects 389
16 Reduced-dimensional Systems and nanostructures 393
16.1 Density of states and optical properties 393
16.2 Ballistic transport and quantization of conductance 399
16.3 The Landauer formula 404
16.4 Weak coupling and the Coulomb blockade 406
16.5 Graphene, carbon nanotubes, and graphene nanostructures 409
16.6 Other quasi-2D materials 421
Part IV Problems 424
References
Index
434
440
|
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| title | Fundamentals of condensed matter physics |
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