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Unformatted text preview: v 2 2 F x 2 + Ω 2 F where Ω and v are constants. Assume a solution of the form ( F being a constant) F ( x , t ) = F e + i ( kx − ω t ) and find the dispersion relation (k). 4 Problem 3 (12 points) We wish to calculate the current, I through a single discrete energy level ε and the average number of electrons, N using the multielectron picture where we have two levels ‘0’ and ‘1’ corresponding to the oneelectron level being empty or full respectively. Your answers to all questions below should be in terms of the Fermi functions in the two contacts and the couplings γ 1 and 2 for the two contacts. (a) Equate the rate of transition from ‘0’ to ‘1’and that from ‘1’ to ‘0’ to obtain an expression relating the probabilities P and P 1 . (b) From your result in (a), find an expression for the average number of electrons, N (c) Obtain an expression for the current I from the rates of transition from ‘1’ to ‘0’ and from ‘0’ to ‘1’. μ 2 μ 1 Drain Source I V I ε 1 Oneelectron picture Multielectron picture 5...
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This note was uploaded on 02/19/2012 for the course ECE 495w taught by Professor Supriyodatta during the Fall '06 term at Purdue.
 Fall '06
 SupriyoDatta

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