04 Carrier Statistic - Previous Lectures Density Of States gc(E = gv(E = Fermi-Dirac Statistics m n 2 mn E E c 2h 3 m p f(E = p 2 m Ev E 2h 3 1 1 e

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Previous Lectures… Density Of States Fermi-Dirac Statistics f(E) 1 E E f 0.5 E g(E) E V E C Valence band Conduction band 3 2 ) ( 2 ) ( h π c n n c E E m m E g = 3 2 ) ( 2 ) ( h E E m m E g v p p v = kT E E f e E f ) ( 1 1 ) ( + = Note that the f(E) is the probability of occupation regardless of whether or not a state exists!
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Review: Carrier Statistics ()() dE E f E g n C E C = () () [] dE E f E g p V E V = 1 For Boltzmann approximation, = kT E E N p f V V exp = kT E E N n C f C exp 2 / 3 2 * 2 2 = h π kT m N n C 2 / 3 2 * 2 2 = h kT m N p V
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EECS 320 Carrier Statistics
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Determining Carrier Density ( ) ( ) ( ) E f E g E n C = E g(E) E V E C Valence band Conduction band T=300K 1 f(E) E f 0.5 E ( ) ( ) ( ) [ ] E f E g E p V = 1 f(E) 1 E f E g(E) E V E C
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Determining Carrier Density Density of states x Occupation probability () ()() E f E g E n C = ()() dE E f E g n C E C = () () () [] E f E g E p V = 1 () () [] dE E f E g p V E V = 1
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Carrier Density (Quantitative) Density of states x Occupation probability () () ( ) E f E g E n C = ()() dE E f E g n C E C = () ( ) >>
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This note was uploaded on 08/09/2011 for the course EE 320 taught by Professor Zhongzhaohui during the Summer '11 term at Shanghai Jiao Tong University.

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04 Carrier Statistic - Previous Lectures Density Of States gc(E = gv(E = Fermi-Dirac Statistics m n 2 mn E E c 2h 3 m p f(E = p 2 m Ev E 2h 3 1 1 e

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