2009.01.16-ECE659-L3-notes

2009.01.16-ECE659-L3-notes - + n qn = f ( 29 1 2 1 2 f f f...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
ECE 659 Quantum Transport: Atom to Transistor Lecture 3: Mobility Supriyo Datta Spring 2009 Notes prepared by Samiran Ganguly
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
S D L Vd Vg E μ1 μ 1-μ2=qVd γ 1 f 2 f ( 29( 29 1 2 q I dET E f f h = - Ballistic Transport: 1 2 D f 2 2 D f D(E) μ2 f1(E) f2(E) 1 2 L R x D I q f v L = ( ) 2 x hD T E v L = ( ) x Dv M E L π = ( 29( 29 1 2 q I dEM E f f h = -
Background image of page 2
Diffusive Transport: 1 f 2 f ( 29 f x + ( 29 f x - ( 29 ( 29 q I dEM E f f h + - = - ( 29 x f f f f λ + - + - = ∆ = - - ( 29 f f df df dx dx + - + - - = = - Boundary Conditions: 1 2 (0) , ( ) f f f L f + - = = 1 Mf 2 Mf I + 1 Mf I - ( 29 1 2 ( ) f f f f L + - - = - + We shall see : f + Tf Rf + - + f - Rf Tf + - + ( 29 ( 29 ( 29 1 f T f Rf f R f f f R f f + + - + + - - + - = - + = - - = - - L 2 Mf ( 29 ~ f f I + - - ( 29 ( 29 1 2 1 2 1 1 M f f I L L I f f M L - + = = - +
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
How do we obtain Conductance? I A G V L σ λ = = + We do a Taylor’s series expansion of f 1 -f 2 , assuming low biases E f E ( 29 ( 29 1 1 E kT f E e μ - = + 2 2 x v f D A G q dE E AL L = - + dhhhhDhhhh± A A G L L L L = = + ′ =
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: + n qn = f ( 29 1 2 1 2 f f f -=- f f E - 1 2 f f f qV E -= - ( 29 2 I q f dE T E V h E =- 2 1 2 x Dv I f q dE V E L L =- + n q qn m = = 2 2 ( ) ( ) x v f D q dE E AL n dED E f E =- = We can solve for by taking D(E)->0 far below 2 ( ) 2 x v d D q dEf E dE AL =...
View Full Document

Page1 / 4

2009.01.16-ECE659-L3-notes - + n qn = f ( 29 1 2 1 2 f f f...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online