THEORY OF ELECTRIC POLARIZATION

By LINDA MOORE

CONTENTS INTRODUCTION INVARIANCE AND QUANTIZATION OF CHARGES AND CURRENTS POLARIZATION, ADIABATIC CURRENTS, AND SURFACE CHARGE ORBITAL MAGNETIZATION AND SURFACE CURRENTS EDGE CHANNELS AND ANOMALOUS HALL CONDUCTIVITY RECAP AND PREVIEW REVIEW OF ELECTRONIC STRUCTURE THEORY ELECTRONIC HAMILTONIAN AND BLOCH FUNCTIONS TIGHT-BINDING MODEL HAMILTONIANS LINEAR RESPONSE THEORY BERRY PHASES AND CURVATURES BERRY PHASE, GAUGE FREEDOM, AND PARALLEL TRANSPORT BERRY CURVATURE AND THE CHERN THEOREM ADIABATIC DYNAMICS BERRYOLOGY OF THE BRILLOUIN ZONE WANNIER FUNCTIONS MULTIBAND FORMULATION ELECTRIC POLARIZATION STATEMENT OF THE PROBLEM BERRY-PHASE THEORY OF POLARIZATION DISCUSSION QUESTIONS OF INTERPRETATION SURFACE CHARGE THEOREM UNIFORM ELECTRIC FIELDS CONTENTS TOPOLOGICAL INSULATORS AND SEMIMETALS QUANTUM ANOMALOUS HALL INSULATORS QUANTUM SPIN HALL INSULATORS THREE-DIMENSIONAL Z2 TOPOLOGICAL INSULATORS WEYL SEMIMETALS OTHER TOPOLOGICAL SYSTEMS ORBITAL MAGNETIZATION AND AXION COUPLING ORBITAL MAGNETIZATION MAGNETOELECTRIC COUPLING AND SURFACE ANOMALOUS HALL CONDUCTIVITY CHERN–SIMONS AXION COUPLING AXION ELECTRODYNAMICS