2009.01.30-ECE659-L8-notes

2009.01.30-ECE659-L8-notes - Dv df q dE E L L μ λ =- =--...

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ECE 659 Quantum Transport: Atom to Transistor Lecture 8: Scattering Theory of Transport Supriyo Datta Spring 2009 Notes prepared by Samiran Ganguly
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+ S D x z L W I I H 2 2 2 v q D τ σ = ɶ 1 2 ( ) 2 z Dv df I q dE dE L L λ μ = - - + L V I = μ1 + c H W V I ϖ τ = ɶ ɶ μ2 μ+ μ- Commonly seen expression for conductivity: ( 29 q df qn dE E m dE = = - ɶ E μ energy 2 1 2 mv
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Scattering Matrices c H H c L V I W V I W L ϖ τ σ - = ɶ ɶ ɶ ɶ zz zx H H zz xz W I V L I V L W = 2 probe measurement : ( 29 1 2 1 2 ( ) z q I MT h
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Unformatted text preview: Dv df q dE E L L μ λ =- =-- ∫ 2 dE + In scattering theory we look only at the contacts 1 1 2 2 1 2 i Ri Ti i Ti Ri-+ +-+ + = + = + 1 i-2 i-1 i + 2 i + 1 1 2 2 R T i i T R i i S-+-+ = dhDh± i Si i Yv-+ = ⇒ = Scattering matrix...
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This note was uploaded on 01/30/2011 for the course ECE 659 taught by Professor Staff during the Spring '08 term at Purdue University.

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2009.01.30-ECE659-L8-notes - Dv df q dE E L L μ λ =- =--...

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