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Unformatted text preview: 1Carrier concentrationsCarrier concentrationsThermal equilibriumThermal equilibriumSections 3.3, 4.2, 4.3, 4.4, 4.5 of course text:1.Carrier concentrations2.Density of states3.FermiDirac distribution function4.nand ni5.HemiMaxwellian distribution and mean velocity2Carrier concentrationsCarrier concentrationsWhat is this in 3D?What is g(k) and what are its units?Use PBA for Ek,Assume spherical kspace3Filling up the statesFilling up the statesWe now know the density of statesWe mayalso know how many electrons and holes to put into these states.What is the probability of a given state being filled?We need a distribution function that describes the probability of a momentum state (e.g., kx) being occupied by no more than how many electrons?4Carrier concentrationsCarrier concentrationsWhat shall we use for f (E)?It is well known only in thermal equilibrium.or5FermiFermiDiracDiracdistribution functiondistribution functionEFis the Fermi (energy) levelkBis Boltzmann's constant....
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 Fall '09
 David

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