homework6 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 6 ` Due on March 10, 2009 at 5:00 PM Suggested Readings: a) Lecture notes Problem 6.1 (Energy bands in GaAs) a) In handout 12, the matrix H, which results from the tight binding solution for GaAs, is given. Calculate the following elements of the matrix and verify your results by comparing them with the expressions given in handout 12: 27 26 25 16 15 H H H H H b) Using the following parameters values, calculate all 8 energy bands of GaAs along Γ -X () 0 , 0 , 2 a π and Γ -L () a a a , , directions and plot them. eV 89 . 0 eV 44 . 3 eV 15 . 2 eV 70 . 1 eV 91 . 7 eV 33 . 17 eV 90 . 4 eV 37 . 11 Angstroms 65325 . 5 = = = = = = = = = σ pp pp sp ss PA SA PG SG V V V V E E E E a You will need to setup the matrix for each value of the wavevector, and then solve for its eigenvalues. Save your code for future. You will need it later in the course.
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homework6 - Department of Electrical and Computer...

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