495_HW1sol

495_HW1sol - 8/29/06 ECE 495W, Fall06 MSEE B010, MWF 330P...

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ECE 495W, Fall’06 MSEE B010, MWF 330P – 420P Fundamentals of Nanoelectronics HW#1 Solution: Problem 1: μ 1000 K 300 K Density of states --> 0 5 10 15 20 25 30 -0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2 A channel having a density of states as shown is connected to two contacts with the same electrochemical potential μ, but held at two different temperatures as shown. Is there a current in the external circuit if μ is positioned below the peak of the density of states D(E) as shown ? If so, is it in the direction shown (from the hot to the cold contact) or opposite to the direction shown (from the cold to the hot contact)? Explain your reasoning. Solution: 1. Assuming contact 1 to be at a higher temperature, it can be seen that the difference in Fermi functions f 1 (E) – f 2 (E) is positive above μ and negative below μ. Hence, electrons flow inside the device from hot to cold above μ and from cold to hot below μ. 2.
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495_HW1sol - 8/29/06 ECE 495W, Fall06 MSEE B010, MWF 330P...

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