ECE 59500 - Introduction to Quantum Transport

Lecture Hours: 3 Credits: 1

This is an experiential learning course.

Counts as:
CMPE Special Content Elective
EE Elective

Experimental Course Offered: Fall 2018, Fall 2019, Spring 2020

Requisites:
MA 26200 or (MA 26500 and MA 26600)

Requisites by Topic:
Differential Equations and Linear Algebra

Catalog Description:
This course introduces the Schrodinger equation, uses the tight-binding method to discuss the concept of bandstructure and E(k) relations, along with simple quantum transport problems. No prior background in quantum mechanics or statistical mechanics is assumed.

Supplementary Information:
This is a mini-course that runs week 6-10 of the semester and covers the material from the middle part of ECE 50653.

Required Text(s):
  1. Lessons from Nanoelectronics, Part B: Quantum Transport, 2nd Edition, Datta, S., World Scientific, 2017, ISBN No. 13: 978-9813224605.

Recommended Text(s): None.

Learning Outcomes:

A student who successfully fulfills the course requirements will have demonstrated:
  1. an understanding of the quantum analysis of nanoelectronic devices based on the non-equilibrium Green function (NEGF) method. [1]

Lecture Outline:

Weeks Topics
1 Week Unit 1: Schrodinger Equation (Wave Equation, Differential to Matrix Equation, Dispersion Relation, Counting States, Beyond 1-D, Lattice with a Basis, Graphene, Reciprocal Lattice/Valleys,
1 Week Unit 2: Contact-ing Schrodinger (Semiclassical Model, Quantum Model, NEGF Equations, Current Operator, Scattering Theory, Transmission, Resonant Tunneling, Dephasing)
1 Week Unit 3: More Examples (Quantum Point Contact, Self-Energy, Surface Green's Function, Graphene, Magnetic Field, Golden Rule, Inelastic Scattering, Can NEGF Include Everything?)
2 Weeks Unit 4: Spin Transport (Magnetic Contacts, Rotating Contacts, Vectors and Spinors, Spin-orbit Coupling, Spin Hamiltonian, Spin Density/Current, Spin Voltage, Spin Circuits)