MOLECULAR DYNAMICS AND STRUCTURE OF SOLIDS
PART I BASIC CONCEPTS IN SOLID-STATE PHYSICS CRYSTAL STRUCTURES CRYSTAL STRUCTURE AND SYMMETRY GROUPS COMMON CRYSTAL STRUCTURES RECIPROCAL LATTICE DI?RACTION OF X-RAYS BRAGG RE?ECTION LAUE EQUATIONS EWALD CONSTRUCTION ATOMIC SCATTERING FACTOR GEOMETRIC STRUCTURE FACTOR EXPERIMENTAL TECHNIQUES CLASSI?CATION OF SOLIDS CRYSTAL BINDING BINDING ENERGY OF IONIC CRYSTALS PROBLEMS LATTICE VIBRATIONS MONATOMIC LINEAR CHAIN NORMAL MODES M¨OSSBAUER E?ECT OPTICAL MODES LATTICE VIBRATIONS IN THREE DIMENSIONS QUANTIZATION HEAT CAPACITY OF SOLIDS EINSTEIN MODEL MODERN THEORY OF THE SPECI?C HEAT OF SOLIDS DEBYE MODEL EVALUATION OF SUMMATIONS OVER NORMAL MODES FOR THE DEBYE MODEL ESTIMATE OF RECOIL FREE FRACTION IN M¨OSSBAUER E?ECT LINDEMANN MELTING FORMULA CRITICAL POINTS IN THE PHONON SPECTRUM QUALITATIVE DESCRIPTION OF THERMAL EXPANSION ANHARMONIC E?ECTS THERMAL CONDUCTIVITY OF AN INSULATOR PHONON COLLISION RATE PHONON GAS FREE ELECTRON THEORY OF METALS DRUDE MODEL ELECTRICAL CONDUCTIVITY THERMAL CONDUCTIVITY WIEDEMANN–FRANZ LAW CRITICISMS OF DRUDE MODEL LORENTZ THEORY BOLTZMANN DISTRIBUTION FUNCTION RELAXATION TIME APPROXIMATION SOLUTION OF BOLTZMANN EQUATION MAXWELL–BOLTZMANN DISTRIBUTION SOMMERFELD THEORY OF METALS REVIEW OF ELEMENTARY STATISTICAL MECHANICS FERMI–DIRAC DISTRIBUTION FUNCTION DENSITY OF STATES THERMODYNAMIC POTENTIAL ENTROPY FERMI FUNCTION INTEGRATION FORMULA HEAT CAPACITY OF A FERMI GAS EQUATION OF STATE OF A FERMI GAS COMPRESSIBILITY ELECTRICAL AND THERMAL CONDUCTIVITIES CRITIQUE OF SOMMERFELD MODEL MAGNETOCONDUCTIVITY HALL E?ECT AND MAGNETORESISTANCE DIELECTRIC FUNCTION ELEMENTS OF BAND THEORY ENERGY BAND FORMATION TRANSLATION OPERATOR BLOCH’S THEOREM CALCULATION OF ENERGY BANDS TIGHT-BINDING METHOD TIGHT BINDING IN SECOND QUANTIZATION REPRESENTATION PERIODIC POTENTIAL FREE ELECTRON MODEL NEARLY FREE ELECTRON MODEL DEGENERATE PERTURBATION THEORY METALS–SEMIMETALS–SEMICONDUCTORS–INSULATORS USE OF ELEMENTARY GROUP THEORY IN CALCULATING BAND STRUCTURE BAND REPRESENTATION OF EMPTY LATTICE STATES REVIEW OF ELEMENTARY GROUP THEORY SOME EXAMPLES OF SIMPLE GROUPS GROUP REPRESENTATION EXAMPLES OF REPRESENTATIONS OF THE GROUP 4 MM FAITHFUL REPRESENTATION REGULAR REPRESENTATION REDUCIBLE AND IRREDUCIBLE REPRESENTATIONS IMPORTANT THEOREMS OF REPRESENTATION THEORY (WITHOUT PROOF) CHARACTER OF A REPRESENTATION ORTHOGONALITY THEOREM EMPTY LATTICE BANDS, DEGENERACIES AND IRS GROUP OF THE WAVE VECTOR K USE OF IRREDUCIBLE REPRESENTATIONS DETERMINING THE LINEAR COMBINATIONS OF PLANE WAVES BELONGING TO DI?ERENT IRS COMPATIBILITY RELATIONS USING THE IRREDUCIBLE REPRESENTATIONS IN EVALUATING ENERGY BANDS EMPTY LATTICE BANDS FOR CUBIC STRUCTURE POINT GROUP OF A CUBIC STRUCTURE FACE CENTERED CUBIC LATTICE BODY CENTERED CUBIC LATTICE ENERGY BANDS OF COMMON SEMICONDUCTORS MORE BAND THEORY AND THE SEMICLASSICAL APPROXIMATION ORTHOGONALIZED PLANE WAVES PSEUDOPOTENTIAL METHOD K P METHOD AND E?ECTIVE MASS THEORY SEMICLASSICAL APPROXIMATION FOR BLOCH ELECTRONS E?ECTIVE MASS CONCEPT OF A HOLE E?ECTIVE HAMILTONIAN OF BLOCH ELECTRON SEMICONDUCTORS GENERAL PROPERTIES OF SEMICONDUCTING MATERIAL TYPICAL SEMICONDUCTORS TEMPERATURE DEPENDENCE OF THE CARRIER CONCENTRATION CARRIER CONCENTRATION: INTRINSIC CASE DONOR AND ACCEPTOR IMPURITIES POPULATION OF DONOR LEVELS THERMAL EQUILIBRIUM IN A DOPED SEMICONDUCTOR HIGH-IMPURITY CONCENTRATION P–N JUNCTION SEMICLASSICAL MODEL RECTI?CATION OF A P–N JUNCTION TUNNEL DIODE SURFACE SPACE CHARGE LAYERS SUPERLATTICES QUANTUM WELLS MODULATION DOPING MINIBANDS ELECTRONS IN A MAGNETIC FIELD QUANTUM HALL E?ECT AMORPHOUS SEMICONDUCTORS TYPES OF DISORDER ANDERSON MODEL IMPURITY BANDS DIELECTRIC PROPERTIES OF SOLIDS REVIEW OF SOME IDEAS OF ELECTRICITY AND MAGNETISM DIPOLE MOMENT PER UNIT VOLUME ATOMIC POLARIZABILITY LOCAL FIELD IN A SOLID MACROSCOPIC FIELD DEPOLARIZATION FACTOR LORENTZ FIELD CLAUSIUS–MOSSOTTI RELATION POLARIZABILITY AND DIELECTRIC FUNCTIONS OF SOME SIMPLE SYSTEMS EVALUATION OF THE DIPOLE POLARIZABILITY POLARIZABILITY OF BOUND ELECTRONS DIELECTRIC FUNCTION OF A METAL DIELECTRIC FUNCTION OF A POLAR CRYSTAL OPTICAL PROPERTIES WAVE EQUATION BULK MODES LONGITUDINAL MODES TRANSVERSE MODES RE?ECTIVITY OF A SOLID OPTICAL CONSTANTS SKIN E?ECT SURFACE WAVES PLASMON SURFACE PHONON–POLARITON MAGNETISM IN SOLIDS REVIEW OF SOME ELECTROMAGNETISM MAGNETIC MOMENT AND TORQUE VECTOR POTENTIAL OF A MAGNETIC DIPOLE MAGNETIC MOMENT OF AN ATOM ORBITAL MAGNETIC MOMENT SPIN MAGNETIC MOMENT TOTAL ANGULAR MOMENTUM AND TOTAL MAGNETIC MOMENT HUND’S RULES PARAMAGNETISM AND DIAMAGNETISM OF AN ATOM PARAMAGNETISM OF ATOMS PAULI SPIN PARAMAGNETISM OF METALS DIAMAGNETISM OF METALS DE HAAS–VAN ALPHEN E?ECT COOLING BY ADIABATIC DEMAGNETIZATION OF A PARAMAGNETIC SALT FERROMAGNETISM PART II ADVANCED TOPICS IN SOLID-STATE PHYSICS MAGNETIC ORDERING AND SPIN WAVES HEISENBERG EXCHANGE INTERACTION SPONTANEOUS MAGNETIZATION DOMAIN STRUCTURE DOMAIN WALL ANISOTROPY ENERGY ANTIFERROMAGNETISM FERRIMAGNETISM ZERO-TEMPERATURE HEISENBERG FERROMAGNET ZERO-TEMPERATURE HEISENBERG ANTIFERROMAGNET SPIN WAVES IN FERROMAGNET HOLSTEIN–PRIMAKO?TRANSFORMATION DISPERSION RELATION FOR MAGNONS MAGNON–MAGNON INTERACTIONS MAGNON HEAT CAPACITY MAGNETIZATION EXPERIMENTS REVEALING MAGNONS STABILITY SPIN WAVES IN ANTIFERROMAGNETS GROUND STATE ENERGY ZERO POINT SUBLATTICE MAGNETIZATION FINITE TEMPERATURE SUBLATTICE MAGNETIZATION HEAT CAPACITY DUE TO ANTIFERROMAGNETIC MAGNONS EXCHANGE INTERACTIONS ITINERANT FERROMAGNETISM STONER MODEL STONER EXCITATIONS 10 10 PHASE TRANSITION MANY BODY INTERACTIONS – INTRODUCTION SECOND QUANTIZATION HARTREE–FOCK APPROXIMATION FERROMAGNETISM OF A DEGENERATE ELECTRON GAS IN HARTREE–FOCK APPROXIMATION SPIN DENSITY WAVES COMPARISON WITH REALITY CORRELATION E?ECTS–DIVERGENCE OF PERTURBATION THEORY LINEAR RESPONSE THEORY DENSITY MATRIX PROPERTIES OF DENSITY MATRIX CHANGE OF REPRESENTATION EQUATION OF MOTION OF DENSITY MATRIX SINGLE PARTICLE DENSITY MATRIX OF A FERMI GAS GAUGE INVARIANCE LINDHARD DIELECTRIC FUNCTION LONGITUDINAL DIELECTRIC CONSTANT KRAMERS–KRONIG RELATION E?ECT OF COLLISIONS SCREENING FRIEDEL OSCILLATIONS KOHN E?ECT MANY BODY INTERACTIONS: GREEN’S FUNCTION METHOD FORMULATION SCHR¨ODINGER EQUATION INTERACTION REPRESENTATION ADIABATIC APPROXIMATION GREEN’S FUNCTION AVERAGES OF TIME-ORDERED PRODUCTS OF OPERATORS WICK’S THEOREM LINKED CLUSTERS DYSON’S EQUATIONS GREEN’S FUNCTION APPROACH TO THE ELECTRON–PHONON INTERACTION ELECTRON SELF ENERGY QUASIPARTICLE INTERACTIONS AND FERMI LIQUID THEORY SEMICLASSICAL THEORY OF ELECTRONS BLOCH ELECTRONS IN A DC MAGNETIC FIELD ENERGY LEVELS OF BLOCH ELECTRONS IN A MAGNETIC FIELD QUANTIZATION OF ENERGY CYCLOTRON E?ECTIVE MASS VELOCITY PARALLEL TO B MAGNETORESISTANCE TWO-BAND MODEL AND MAGNETORESISTANCE MAGNETOCONDUCTIVITY OF METALS PROPAGATION PARALLEL TO B0 PROPAGATION PERPENDICULAR TO B0 LOCAL VS NONLOCAL CONDUCTION QUANTUM THEORY OF MAGNETOCONDUCTIVITY OF AN ELECTRON GAS ELECTRODYNAMICS OF METALS MAXWELL’S EQUATIONS SKIN E?ECT IN THE ABSENCE OF A DC MAGNETIC FIELD AZBEL–KANER CYCLOTRON RESONANCE AZBEL–KANER E?ECT MAGNETOPLASMA WAVES DISCUSSION OF THE NONLOCAL THEORY CYCLOTRON WAVES MAGNETOPLASMA SURFACE WAVES 14 10 PROPAGATION OF ACOUSTIC WAVES HELICON–PHONON INTERACTION SUPERCONDUCTIVITY SOME PHENOMENOLOGICAL OBSERVATIONS OF SUPERCONDUCTORS LONDON THEORY MICROSCOPIC THEORY–AN INTRODUCTION ELECTRON–PHONON INTERACTION COOPER PAIR THE BCS GROUND STATE BOGOLIUBOV–VALATIN TRANSFORMATION CONDENSATION ENERGY EXCITED STATES TYPE I AND TYPE II SUPERCONDUCTORS THE FRACTIONAL QUANTUM HALL E?ECT: THE PARADIGM FOR STRONGLY INTERACTING SYSTEMS ELECTRONS CON?NED TO A TWO-DIMENSIONAL SURFACE IN A PERPENDICULAR MAGNETIC FIELD INTEGRAL QUANTUM HALL E?ECT FRACTIONAL QUANTUM HALL E?ECT NUMERICAL STUDIES STATISTICS OF IDENTICAL PARTICLES IN TWO DIMENSION CHERN–SIMONS GAUGE FIELD COMPOSITE FERMION PICTURE FERMI LIQUID PICTURE PSEUDOPOTENTIALS 16 10 ANGULAR MOMENTUM EIGENSTATES 16 11 CORRELATIONS IN QUANTUM HALL STATES