QUANTUM THEORY OF SOLIDS

By JAMES DAVIS

CONTENTS INTRODUCTION AND REVIEW OF QUANTUM MECHANICS INTRODUCTION WAVE–PARTICLE DUALITY WAVE QUANTISATION HEISENBERG UNCERTAINTY PRINCIPLE SCHRÖDINGER’S EQUATION EXPECTATION VALUES AND THE MOMENTUM OPERATOR SOME PROPERTIES OF WAVEFUNCTIONS THE VARIATIONAL PRINCIPLE THE VARIATIONAL METHOD IN AN IN?NITE SQUARE WELL THE ?NITE SQUARE WELL BONDING IN MOLECULES AND SOLIDS DOUBLE SQUARE WELL POTENTIAL THE HYDROGEN MOLECULE, H2 THE DIATOMIC LIH MOLECULE TETRAHEDRAL BONDING IN SI CRYSTALS BONDING IN GALLIUM ARSENIDE TRENDS IN SEMICONDUCTORS BAND STRUCTURE OF SOLIDS BLOCH’S THEOREM AND BAND STRUCTURE FOR A PERIODIC SOLID THE KRONIG–PENNEY MODEL THE TIGHT-BINDING METHOD THE NEARLY FREE ELECTRON METHOD BAND STRUCTURE OF TETRAHEDRAL SEMICONDUCTORS THE USE OF ‘PSEUDO’ POTENTIALS BAND STRUCTURE AND DEFECTS IN BULK SEMICONDUCTORS K P THEORY FOR SEMICONDUCTORS ELECTRON AND HOLE EFFECTIVE MASSES IMPURITIES IN SEMICONDUCTORS AMORPHOUS SEMICONDUCTORS PHYSICS AND APPLICATIONS OF LOW-DIMENSIONAL SEMICONDUCTOR STRUCTURES CON?NED STATES IN QUANTUM WELLS, WIRES, AND DOTS DENSITY OF STATES IN QUANTUM WELLS, WIRES, AND DOTS MODULATION DOPING AND HETEROJUNCTIONS QUANTUM HALL EFFECT SEMICONDUCTOR LASER ACTION STRAINED-LAYER LASERS TUNNELLING STRUCTURES AND DEVICES DIAMAGNETISM AND PARAMAGNETISM MAGNETISATION MAGNETIC MOMENT OF THE ELECTRON DIAMAGNETISM IN ATOMS AND SOLIDS LANGEVIN (CLASSICAL) THEORY OF PARAMAGNETISM MAGNETIC MOMENTS IN ISOLATED ATOMS AND IONS: HUND’S RULES BRILLOUIN (QUANTUM MECHANICAL) THEORY OF PARAMAGNETISM PARAMAGNETISM IN METALS FLOATING FROGS FERROMAGNETISM AND MAGNETIC ORDER THE EXCHANGE INTERACTION FERROMAGNETISM AND THE CURIE TEMPERATURE SPONTANEOUS MAGNETISATION SPONTANEOUS MAGNETISATION AND SUSCEPTIBILITY OF AN ANTIFERROMAGNET FERRIMAGNETISM SPIN WAVES – ELEMENTARY MAGNETIC EXCITATIONS FERROMAGNETIC DOMAINS HIGH-PERFORMANCE PERMANENT MAGNETS ITINERANT FERROMAGNETISM GIANT MAGNETORESISTANCE SUPERCONDUCTIVITY OCCURENCE OF SUPERCONDUCTIVITY MAGNETIC BEHAVIOUR AND MEISSNER EFFECT TYPE I AND TYPE II SUPERCONDUCTORS ELECTROMAGNETIC MOMENTUM AND THE LONDON EQUATION THE MEISSNER EFFECT APPLICATION OF THERMODYNAMICS COOPER PAIRS AND BCS THEORY BCS COHERENCE LENGTH PERSISTENT CURRENT AND THE SUPERCONDUCTING WAVEFUNCTION FLUX QUANTISATION JOSEPHSON TUNNELLING AC JOSEPHSON EFFECT HIGH-TEMPERATURE SUPERCONDUCTIVITY