In the last 50 years, solid state devices like transistors have evolved from an interesting laboratory experiment to a technology with applications in all aspects of modern life. Making transistors is a complex process that requires unprecedented collabor
Outline:Derivation of SRH formulaApplication of SRH formula for special casesDirect and Auger recombinationConclusion
Outline:Basic Transport Equations Gridding and finite differencesDiscretizing equations and boundary conditions Conclusion
OutlineContinuity EquationExample problems Conclusion
Outline:Measurement of mobilityHall Effect for determining carrier concentrationPhysics of diffusionConclusions
Outline:Non-equilibrium systemsRecombination generation eventsSteady-state and transient responseDerivation of R-G formulaConclusion
Outline:Carrier concentrationTemperature dependence of carrier concentrationMultiple doping, co-doping, and heavy-dopingConclusion
Outline:Law of mass-action & intrinsic concentration Statistics of donors and acceptor levelsConclusion
Outline:Potential, field, and chargeE-k diagram vs. band-diagramBasic concepts of donors and acceptorsConclusion
Outline:Rules of filling electronic statesDerivation of Fermi-Dirac Statistics: three techniquesIntrinsic carrier concentrationConclusion
Outline:Calculation of density of statesDensity of states for specific materialsCharacterization of Effective MassConclusions
Outline:E-k diagram/constant energy surfaces in 3D solidsCharacterization of E-k diagram: BandgapCharacterization of E-k diagram: Effective MassConclusions
Outline:Schrodinger equation in periodic U(x)Bloch theoremBand structureProperties of electronic bandsConclusions
Outline:Properties of electronic bandsE-k diagram and constant energy surfacesConclusions
Outline:Time-independent Schrodinger EquationAnalytical solution of toy problemsBound vs. tunneling statesConclusionsAdditional Notes: Numerical solution of Schrodinger Equation
Outline:Why do we need quantum physicsQuantum conceptsFormulation of quantum mechanicsConclusions
Outline:Volume & surface issues for BCC, FCC, Cubic latticesImportant material systemsMiller indices ConclusionsHelpful software tool: Crystal Viewer in the ABACUS tool suite.
Outline:Course information Current flow in semiconductors Types of material systems Classification of crystals