2009.01.26-ECE659-L6-notes

2009.01.26-ECE659-L6-notes - x=0 x=W z x L R S D L x z R 29...

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ECE 659 Quantum Transport: Atom to Transistor Lecture 6: Hall Effect SupriyoDatta Spring 2009 Notes prepared by SamiranGanguly
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S D L E μ2 μ1 ( 29 A G L R L A σ λ ρ λ = + = + ( 29 2 z Dv I q dE f f L - = - μ1 μ+ x z D(E) f1(E) f2(E) μ2 μ- L λ λ z=0 z=L (at large T ) We can do Taylor series expansion of fermifunction at large T ( 29 ( 29 1 2 df f f dE μ μ + - - - -
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μ1 μ2 μ+ μ- z=0 z=L E c H V B I qn = n qn σ μ = z x Electron velocity distribution this can be calculated self consistently μ1 μ2 μ+ μ- z=0 z=L z x V H ~ B B rotates the Velocity vector
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Unformatted text preview: x=0 x=W z x L R S D L x z R ( 29 L R L R f f df df-= -+ ( 29 / 2 c L R df df f f dx dx ϖ π +-= =-( 29 B dx dx λ = / 2 / 2 c L c L x f f v f f x v + + ∆ ∆ = ∆ = ∆ x ∆ ( 29 ( 29 ( 29 ( 29 , , / 2 L R L R qBW f x f x W f f mv +-=-= =-( 29 2 / 2 2 H z qBW V mv q Dv I q L q μ +-+--=-=...
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