Dispersion Relations (tight binding energy)

  • Thread starter cobi18
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The nearest neighbour tight-binding energy band for an fcc metal can be written as:
E(kx; ky; kz) = Ei - A - 8t[cos(pi*kx)cos(pi*ky) + cos(pi*ky)cos(pi*kz) + cos(pi*kz)cos(pi*kx)]


where kx; ky; kz are express in units of 2*pi/a .
Sketch this band dispersion (a) between the (capital Gamma) point (kx = ky = kz = 0) and the X point
(kx = 1; ky = kz = 0) (located on the square face of the Brillouin zone), and (b) between
the point and the L point (kx = ky = kz = 1=2) (located on the hexagonal face of the
Brillouin zone).


I am not sure even how to start the sketch of this, do I need to know Ei and A, or can I be alot more simple when just sketching something.

I am just really bad a graphs in reciprocal space, and my lecturer wasn't very helpful.

Any help will be greatly appreciated!
 

Answers and Replies

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Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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