2009.01.28-ECE659-L7-notes

2009.01.28-ECE659-L7-notes - W V q v q-= = We drop the...

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ECE 659 Quantum Transport: Atom to Transistor Lecture 7: Hall Effect Supriyo Datta Spring 2009 Notes prepared by Samiran Ganguly
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+ S D x z + - L W D(E) E μ2 μ1 f1(E) f2(E) ( 29 1 2 ( ) 2 z L Dv df I q dE dE L λ μ + - - + = - - dhDh± n H W I qn v L qn V B = = A small recap: ( 29 1 2 ( ) f f f f L + - - = - + f1 f2 ( 29 f f df df dz dz + - + - - = = - f+ f- For Hall effect: x=0 x=W f L,R ( 29 / 2 c L R df df f f dx dx ϖ π + - = = - df f dE - for low bias We shall see ( 29 d mv qv B dt = × a a a gives c qB m =
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z x Electron velocity distribution f- 2 z v λ τ = 2 ) v f W f+ z x f- f+ f L f R f + =1 f - =0 / 2 c c dx df v W ϖ π = = 2 1 2 ( z V Dv df I q dE dE LW q L σ τ μ μ - = - + dhhhDhhh±dhDh± f L f R z x / 2 f v ∆ = 2 c H H
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Unformatted text preview: W V q v q +--= = We drop the integral sign for convenience ( 29 2 2 z D let E q v WL = ɶ W I V L = ɶ 2 2 z Dv I q L q μ +--= 2 2 2 c H z W L V I v q Dv ϖ π = 2 2 2 z v E v m → → n 2 1 4 1 2 H z V LW IB q mvv D LW q mv D = = 1 H V IB qn = n qn σ = ɶ 2 4 c H z c V LW I q vv D qB m = =...
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2009.01.28-ECE659-L7-notes - W V q v q-= = We drop the...

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