ECE 59500 - Fundamentals of Current Flow

Lecture Hours: 3 Credits: 1

Areas of Specialization(s):

Microelectronics and Nanotechnology

Counts as:
CMPE Special Content Elective
EE Elective

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

MA 26200 or (MA 26500 and MA 26600)

Requisites by Topic:
Differential Equations and Linear Algebra

Catalog Description:
This course presents a new perspective that has emerged in the last two decades provides a powerful approach to new questions at the frontier of modern nanoelectronics. To our knowledge, there is no other course at any level addressing these topics. We believe this new perspective is of general interest, not just for electrical engineers, but for anyone interested in an atomic level understanding of everyday processes, like the flow of heat and electrical current. With this in mind, we have developed this course, assuming very little background beyond linear algebra and differential equations. But we discuss very advanced concepts involving non-equilibrium statistical mechanics, and that is why graduate level maturity is necessary.

Supplementary Information:
This is a mini-course that runs the first 5 weeks of the semester and corresponds to the beginning of ECE 50653.

Required Text(s):
  1. Lessons from Nanoelectronics, Part A: Basic Concepts, 2nd Edition, Datta, S., World Scientific, 2017, ISBN No. 13: 978-9813209749.

Recommended Text(s): None.

Lecture Outline:

Weeks Topic
2 Weeks Unit 1: The New Perspective (Intro,Two Key Concepts, Why Electrons Flow, Conductance Formula, Ballistic (B) Conductance, Diffusive (D) Conductance, Connecting B to D, Angular Averaging Drude Formula)
3 Weeks Unit 2: Energy Band Model (Intro, E(p) or E(k) Relation, Counting States, Density of States, Number of Modes, Electron Density (n), Conductivity vs. n, A New Boundary Condition, Quasi-Fermi Levels (QFL's, Current from QFLs, Landauer Formulas, What a Probe Measures)