PS4_solution

PS4_solution - 2 . Strain eects on electronics band...

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MECE 6700 James Hone, Fall 2011 Problem Set 4 1 . Using the force constant parameters for 2D graphite in table 9.1, numerically calculate the phonon frequencies for 10 evenly spaced k-points along the Γ -M direction, using only first nearest-neighbor interactions (following the technique developed in class), Plot the results Solution Page 1 of 4
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MECE 6700 James Hone, Fall 2011 phonon.pdf 0 1 2 3 4 5 6 7 8 9 0 2 4 6 8 0 2 4 k vector (a.u.) phonon dispersion of graphene Page 2 of 4
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MECE 6700 James Hone, Fall 2011
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Unformatted text preview: 2 . Strain eects on electronics band structure. Numerically calculate the electronic band structure of graphene in 2 cases: 10% strain applied in the armchair direction, and 10 % strain applied in the zigzag direction. Plot the results and nd the K-point shift relative to the un-strained case. Compare to the analytical result derived in class. Solution Page 3 of 4 MECE 6700 Carbon Nanotube Sci & Tech James Hone, Fall 2011 100 200 300 400 500 600 700 800 100 200 300 400 500 600 700 800 Page 4 of 4...
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This note was uploaded on 02/05/2012 for the course APMAE 4200 taught by Professor R during the Fall '11 term at Columbia.

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PS4_solution - 2 . Strain eects on electronics band...

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