ece495nf07hw5(to be print)

# ece495nf07hw5(to be print) - φ n = e ik na to find the...

This preview shows pages 1–2. Sign up to view the full content.

10/12/07 ECE 495N, Fall’07 MSEE B010, MWF 330P – 420P Fundamentals of Nanoelectronics HW#5: Due Friday Oct.19 in class. All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) HW#5: Due Friday Oct.19 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 te i 0 0 te - i te i ⋯ ⋯ ⋯ Impose periodic boundary conditions and assume a solution of the form

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 two-dimensional solid is written in the form E = E-2V (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'...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

ece495nf07hw5(to be print) - φ n = e ik na to find the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online