{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ECE453Fall2010HW6[1]

# ECE453Fall2010HW6[1] - Fall 2010 HW 6 ECE 453 HW#6 Due...

This preview shows pages 1–2. Sign up to view the full content.

Fall 2010 ECE 453 HW #6 Due 10/29 HW # 6 Due Friday, October 29, 2010 Problem 1 is based on QTAT, Sections 5.2 and 6.1. QTAT: S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005), ISBN 0- 521-63145-9, on reserve in Engineering Library and HKN lounge Central equation: [ h ( r k )] [ H nm ] exp( i r k .( r d m r d n )) m Bandstructure Problems 2,3 are based on Chapters 12-14 of notes (see Notes#4) Useful reference: QTAT, Chapter 8, Sect.9.1, 9.4-9.5 Central equations of coherent transport 1. 1 i [ 1 1 ] , 2 i [ 2 2 ] 2. G ( E ) [ EI H 1 2 ] 1 , 3. A ( E ) i [ G G ] G 1 G G 2 G Density of states / 2 4. [ G n ( E )] [ G 1 G ] f 1 [ G 2 G ] f 2 Electron density / 2 5. I i ( E ) q h ( ( Trace [ i A ]) f i Trace [ i G n ]) Current/energy 6. I ( E ) q h Trace [ 1 G 2 G ]( f 1 ( E ) f 2 ( E )) 2-terminal current In general H has to be replaced with H+U, just as D(E) is replaced with D(E-U) in the semiclassical model, where U has to be calculated self-consistently from an appropriate “Poisson” -like equation, but you can ignore this aspect in the HW problems.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern