2009.02.23-ECE659-L18-notes

2009.02.23-ECE659-L18-notes - in s s s f This is because...

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ECE 659 Quantum Transport: Atom to Transistor Lecture 18: NEGF Equations Supriyo Datta Spring 2009 Notes prepared by Samiran Ganguly
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H 1 Σ 2 Σ 1 μ 2 [ ] 1 n in G EI H G G G - + = - - Σ = Σ n n op n n i I Trace HG G H G G + = - + Σ - Σ 3 in in G G + + Σ - Σ 2 2 n in j j j j j E H s G s s f ψ πψψ π + + = + Σ + = Σ = = Γ in n i i i q I Trace A G h = Σ - Γ 2 1 4 1 1 2 2 3 3 4 4 . . . . . . . . . . . . . . . . I f I f I f I f =
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Phase breaking processes: 1 1 f = 2 0 f = L λ + [ ] * 1 2 in n s n in n s E H s U UU DG G G DG G G EI H ψ π ψψ + + - = + Σ + + Σ = = = Σ + = - -Σ -Σ [ ] 1 s DG G EI H DG - Σ = = - - Σ - These equations need to be solved self consistently
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Unformatted text preview: in s s s f This is because channel is in general not in equilibrium and the carriers are not distributed as per Fermi function v n n in in s s s s n G G G G DG + + - + - = Current from the scattering terminal: s DG = D can be thought of as the RMS value of the potential due to phase breaking processes...
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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-West Lafayette.

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2009.02.23-ECE659-L18-notes - in s s s f This is because...

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