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Unformatted text preview: φ n = e ik na to find the dispersion relation E(k). Problem 3: The E(k x ,k y ) relation for a twodimensional solid is written in the form E = E2V (cosk x a + cosk y a + 2 α cosk x a cos k y a) where α is a dimensionless number. How would you choose the nearest neighbor and next nearest neighbor overlap matrix elements in a square lattice of side 'a' so as to correspond to this dispersion relation ? 10/12/07  t t ' Nearest neighbor overlap :  t Next nearest neighbor overlap :  t'...
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This note was uploaded on 02/05/2012 for the course ECE 453 taught by Professor Supriyodatta during the Fall '10 term at Purdue.
 Fall '10
 SupriyoDatta

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