# Electronic Conduction: Classical and Quantum Theory to Nanoelectronic Devices

I: Prerequisites: Quantum Mechanics and the Electronic States in SolidsQuantum MechanicsTHE TWO-SLIT EXPERIMENTTHE SCHROEDINGER EQUATION, WAVEFUNCTIONS AND OPERATORSPARTICLE IN A RECTANGULAR BOXMORE QUANTUM MECHANICS, HEISENBERG’S UNCERTAINTY PRINCIPLESTATISTICS OF ELECTRON OCCUPANCY, THE PAULI PRINCIPLE AND THE FERMI – DIRAC DISTRIBUTIONTHE HYDROGEN ATOM AND THE ATOMS OF THE PERIODIC TABLEBARRIER PENETRATION, TUNNELLINGPROBABILITY CURRENT DENSITY AND THE WKB APPROXIMATIONElectron States in SolidsQUALITATIVE DESCRIPTION OF SOLIDS AND THEIR ENERGY BANDSTHE k-SPACE, BLOCH’S THEOREM AND BRILLOUIN ZONESTHE LCAO METHOD OF CALCULATING ENERGY LEVELSQUICK REVISION OF THE CONCEPT OF A HOLE AND DOPINGVELOCITY OF ELECTRONS IN SOLIDSTHE CONCEPT OF EFFECTIVE MASSCONCENTRATION OF CARRIERS IN SEMICONDUCTORS AND METALSTHE EFFECTIVE MASS EQUATIONII: Theory of ConductionSimple Classical Theory of ConductionEXTERNAL VOLTAGES AND FERMI LEVELSCOLLISIONS AND DRIFT MOBILITYMECHANISMS OF SCATTERINGRECOMBINATION OF CARRIERSDIFFUSION CURRENTCONTINUITY EQUATIONSTHE IDEAL PN JUNCTION AT EQUILIBRIUMTHE IDEAL PN JUNCTION UNDER BIASTHE NON-IDEAL, REAL PN JUNCTIONTHE METAL–SEMICONDUCTOR OR SCHOTTKY JUNCTIONAdvanced Classical Theory of ConductionTHE NEED FOR A BETTER CLASSICAL THEORY OF CONDUCTIONTHE BOLTZMANN EQUATIONSOLUTION OF THE BOLTZMANN EQUATION BY THE RELAXATION TIME APPROXIMATIONAPPLICATION OF AN ELECTRIC FIELD-CONDUCTIVITY OF SOLIDSDIFFUSION CURRENTSGENERAL EXPRESSION FOR THE CURRENT DENSITYAPPLICATION OF A THERMAL GRADIENT, THE SEEBECK EFFECTSATURATION OF DRIFT VELOCITYGUNN EFFECT AND VELOCITY OVERSHOOTTHE (CLASSICAL) HALL EFFECTThe Quantum Theory of ConductionCRITIQUE OF THE BOLTZMANN EQUATION, REGIMES OF CONDUCTIONELECTRONIC STRUCTURE OF LOW-DIMENSIONAL SYSTEMSTHE LANDAUER FORMALISMTHE EFFECTIVE MASS EQUATION FOR HETEROSTRUCTURESTRANSMISSION MATRICES, AIRY FUNCTIONSTHE RESONANT TUNNELLING DIODE OR RTDIII: DevicesField Emission and Vacuum DevicesINTRODUCTIONTHE 1-DIMENSIONAL WKB EQUATIONFIELD EMISSION FROM PLANAR SURFACESTHE 3-DIMENSIONAL WKB PROBLEMFIELD EMISSION FROM CURVED SURFACES (ELECTRON GUNS)THE VACUUM TRANSISTORThe MOSFETINTRODUCTIONPRINCIPLE OF OPERATION OF THE MOSFETSIMPLE CLASSICAL THEORYADVANCED CLASSICAL THEORYQUANTUM THEORY OF THE MOSFETTIME-DEPENDENT PERFORMANCE AND MOORE’S LAWTHE FINFET, A 3-DIMENSIONAL MOSFETPost-Si FETsINTRODUCTIONSIMPLE THEORY OF THE HEMTADVANCED THEORY OF THE HEMTTHE III–V MOSFETTHE CARBON NANOTUBE FET, CNFET, OR CNTFETAPPENDIX A: Further Development of Quantum Mechanics, Angular Momentum, and Spin of the ElectronAPPENDIX B: Lattice VibrationsAPPENDIX C: Impurity States in SemiconductorsAPPENDIX D: Direct and Indirect Band-Gap and Optical TransitionsAPPENDIX E: Proof of the Field Emission FormulaBIBLIOGRAPHY