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495_HW5 - ECE 495W Fall'06 MSEE B010 MWF 330P 420P...

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10/13/06 ECE 495W, Fall’06 MSEE B010, MWF 330P – 420P Fundamentals of Nanoelectronics All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) HW#5: Due Friday Oct.20 in class. None of these problems require the use of MATLAB. Problem 1: Exercise E.5.4, Page 128. Problem 2: Consider an infinitely long linear 1-D lattice (lattice constant: a) with one s- orbital per atom (assumed orthogonal) and having a site energy of E 0 , so that the Hamiltonian looks like H = ε te i ϕ 0 0 " te i ϕ ε te i ϕ 0 " 0 te i ϕ ε te i ϕ " " " " Impose periodic boundary conditions and assume a solution of the form
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