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