AMORPHOUS MAGNETISM AND METALLIC MAGNETIC MATERIALS – DIGEST

By Y. KIORL

CONTENTS INTRODUCTION REFERENCES BASICS OF METALLIC MAGNETISM MAGNETIC SUSCEPTIBILITY: MACROSCOPIC APPROACH GENERALIZED MAGNETIC SUSCEPTIBILITY SYMMETRY RELATIONS DISPERSION RELATIONS MAGNETIC SUSCEPTIBILITY: MICROSCOPIC APPROACH MAGNETIZATION AND SPIN LINEAR RESPONSE THEORY FLUCTUATION-DISSIPATION THEOREM MANY-ELECTRON PROBLEM ONE-ELECTRON STATES MANY-ELECTRON STATES SECOND QUANTIZATION GENERAL THEORY SPECI?C OPERATORS NONINTERACTING ELECTRONS MEAN-FIELD THEORY THE HUBBARD MODEL STONER MEAN-FIELD THEORY HARTREE-FOCK APPROXIMATION MAGNETIZATION: THE T 2 LAW UNIFORM STATIC SUSCEPTIBILITY BAND CALCULATIONS IN METALS RANDOM-PHASE APPROXIMATION MAGNETIC SUSCEPTIBILITIES LONGITUDINAL SUSCEPTIBILITY TRANSVERSE SUSCEPTIBILITY MAGNETIC EXCITATIONS SPIN-DENSITY WAVES MAGNETIZATION: THE T 3/2 LAW STONER SPIN-FLIP EXCITATIONS GREEN FUNCTIONS AT FINITE TEMPERATURES FERMION-TYPE GREEN FUNCTIONS REAL-TIME GREEN FUNCTION TEMPERATURE GREEN FUNCTION BOSON-TYPE GREEN FUNCTIONS DYNAMIC SUSCEPTIBILITY THERMODYNAMIC SUSCEPTIBILITY SPIN FLUCTUATION THEORY IN THE ISING MODEL SPINS IN THE FLUCTUATING FIELD APPROXIMATIONS OF THE FREE ENERGY QUADRATIC PART OF THE FREE ENERGY HIGHER-ORDER TERMS OF THE FREE ENERGY LOCAL FLUCTUATING FIELD MAGNETIC PHASE DIAGRAMS FUNCTIONAL INTEGRAL METHOD MULTIBAND HUBBARD HAMILTONIAN INTRAATOMIC INTERACTION AND HUND’S RULE ATOMIC CHARGE AND SPIN DENSITY FUNCTIONAL INTEGRAL OVER FLUCTUATING FIELDS THERMODYNAMIC “TIME” DEPENDENCE ELECTRONS IN THE FLUCTUATING FIELD CHARGE FLUCTUATIONS EXACT RELATIONS FIELD-DEPENDENT THERMODYNAMIC POTENTIAL MEAN SPIN AND SPIN-DENSITY CORRELATOR GAUSSIAN APPROXIMATION MOTIVATION SADDLE-POINT APPROXIMATION FREE ENERGY MINIMUM PRINCIPLE OPTIMAL GAUSSIAN APPROXIMATION GENERAL FORMULATION FERROMAGNETIC STATE SELF-ENERGY EQUATION SINGLE-SITE GAUSSIAN APPROXIMATION COHERENT POTENTIAL EQUATION SINGLE-SITE GAUSSIAN FLUCTUATING FIELD MEAN SINGLE-SITE GREEN FUNCTION BASIC MAGNETIC CHARACTERISTICS APPLICATION TO FERROMAGNETIC METALS IRON COBALT NICKEL COMPARISON WITH OTHER STUDIES HIGH-TEMPERATURE THEORY PROBLEM OF TEMPERATURE DEPENDENCE DISCONTINUOUS JUMP OF MAGNETIZATION INSTABILITY THROUGH MULTIPLE SOLUTIONS TEMPERATURE HYSTERESIS BEYOND THE GAUSSIAN APPROXIMATION RENORMALIZED GAUSSIAN APPROXIMATION LOCAL AND UNIFORM FLUCTUATIONS APPLICATION TO FE AND FE–NI INVAR LOW-TEMPERATURE THEORY LOW-TEMPERATURE REGION TRANSVERSE DYNAMIC SUSCEPTIBILITY SPIN WAVES AND T 3/2 LAW BEYOND THE SPIN WAVES LOW-TEMPERATURE DSFT APPLICATION TO FE AND FE-NI INVAR TEMPERATURE DEPENDENCE OF MAGNETIC CHARACTERISTICS TEMPORAL CORRELATION FUNCTION QUALITATIVE ANALYSIS OF SPIN CORRELATIONS SPIN CORRELATIONS IN THE ONE-ELECTRON APPROXIMATION UNENHANCED SUSCEPTIBILITIES COMPUTATIONAL FORMULAE BAND AND MODEL CALCULATIONS INTERIM CONCLUSIONS MAGNETIC PROPERTIES IN THE DSFT LOCAL MAGNETIC CHARACTERISTICS NUCLEAR SPIN RELAXATION RATES NEUTRON SCATTERING IN METALS SCATTERING CROSS-SECTION SCATTERING POTENTIAL CORRELATOR NEUTRON SCATTERING AND PHONONS LATTICE VIBRATIONS DEBYE-WALLER FACTOR SHORT-RANGE ORDER ABOVE TC MAGNETIC NEUTRON SCATTERING MAGNETIC INTERACTION POTENTIAL NONPOLARIZED MAGNETIC SCATTERING POLARIZED MAGNETIC SCATTERING SPIN-DENSITY CORRELATIONS SPATIAL SPIN CORRELATOR SPIN CORRELATOR IN THE DSFT HIGH-TEMPERATURE APPROXIMATION APPLICATION TO IRON COMPARISON OF DSFT AND EXPERIMENT SHORT-RANGE ORDER ANALYSIS CONCLUSION