ECE 65900 - Quantum Transport

Lecture Hours: 3 Credits: 3

Areas of Specialization(s):

Counts as:

Normally Offered: Each Spring

Catalog Description:
This course is designed for graduate students familiar with differential equations and linear algebra, but having no significant acquaintance with either quantum mechanics or statistical mechanics. The purpose of the course is to introduce the relevant concepts of quantum mechanics and non-equilibrium statistical mechanics using device-related examples. We use MATLAB-based numerical examples to provide concrete illustrations and the homeworks require students to set up their own computer program on a PC to reproduce the results.

Required Text(s):
  1. Quantum Transport: Atom to Transistor, 2nd Edition, S. Datta, Cambridge University Press, 2005, ISBN No. 0-521-63145-9.

Recommended Text(s): None.

Lecture Outline:

Lectures Lecture Topics
1-5 An atomistic view of electrical resistance
6-8 Schrodinger equation
9-12 Self-consistent field and Coulomb Blockade
13-16 Basis functions
17-20 Bandstructure
21-23 Subbands
24-26 Quantum vs electrostatic capacitance
27-30 Level broadening
31-34 Coherent transport
35-39 Non-coherent transport
40-41 Atom to transistor
42-43 Spin