Ece495nf07hw6 - has a dispersion relation E k = 2 t cos ka where-π< ka<(1 Do the same problem using a unit cell of two atoms(instead of one

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
10/19/06 ECE 495N, Fall’07 MSEE B010, MWF 330P – 420P Fundamentals of Nanoelectronics Note: Exam II on Monday Nov.5 in class. All exercises, page numbers refer to S.Datta, Quantum Transport: Atom to Transistor, Cambridge (2005) HW#6: Due Monday Oct.30 in class. Please turn in a copy of your MATLAB codes for Problem 2. These should be your own, not cut and paste from the text. Problem 1: In class we have seen that an infinitely long linear 1-D lattice (lattice constant: a) with a Hamiltonian H = ε t 0 0 t t 0 0 t t ⋯ ⋯ ⋯
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: has a dispersion relation E ( k ) = + 2 t cos ka where -π < ka < + (1) Do the same problem using a unit cell of two atoms (instead of one) and show that E ( k ) = ± 2 t cos ka where -/2 < ka < + /2 (2) Are (1) and (2) equivalent? Explain. Problem 2: Exercise E.6.5, Page 154 Problem 3: Consider a uniform one dimensional wire with periodic boundary conditions having an E(k) relationship E = Bk 4 . Find the density of states as a function of energy....
View Full Document

This note was uploaded on 02/05/2012 for the course ECE 453 taught by Professor Supriyodatta during the Fall '10 term at Purdue University-West Lafayette.

Ask a homework question - tutors are online