ECE495N-F08-Final_Exam_practice

# ECE495N-F08-Final_Exam_practice - E CE 495N Fall08 F...

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12/9/08 1 Final examination: Friday 12/19/08, 7-9 pm in LYNN G167. ECE 495N, Fall’08 Fundamentals of Nanoelectronics Cumulative, closed book. Equations listed on this page will be provided. Basic equations of coherent transport Γ 1 = i [ Σ 1 − Σ 1 + ] , Γ 2 = [ Σ 2 − Σ 2 + ] , Density of states Electron density Current/energy 2-terminal current Simpler versionn ( E ) = D ( ) γ 1 f 1 ( ) + 2 2 ( ) 1 + 2 ( ) () ( /) ()() () ii i I E q DE f E nE = Current/energy 12 () (() ) q IE f E γγ = + Ballistic transport: . In diffusive regime , leading to a reduction in the current by a factor mfp / (mfp+L) . In general H has to be replaced with H+U, and D(E) with D(E-U) where U has to be calculated self-consistently from an appropriate “Poisson”-like equation. Other useful relations: 1 Σ Σ 2 µ 1 2 H

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12/9/08 2 Problem 1 (Simple model for conduction): Suppose a material has a density of states (per unit energy), D ( E ) = AE α and a density of modes (dimensionless), M ( ) = BE β , where A, B, and are constants. Assuming ballistic transport,
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## This note was uploaded on 12/30/2010 for the course ECE 495N taught by Professor S.datta during the Spring '08 term at Indiana University-Purdue University Fort Wayne.

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ECE495N-F08-Final_Exam_practice - E CE 495N Fall08 F...

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