nanoHUB-U: Fundamentals of Nanoelectronics - Part B: Quantum Transport, 2nd Edition

Second in a two part series, this nanotechnology course provides an introduction to more advanced topics, including the Non-Equilibrium Green’s Function (NEGF) method widely used to analyze quantum transport in nanoscale devices. We will explore a number of topics within nanoelectronics, taking a more in depth look at quantum transport, gaining greater insight into the application of the Schrodinger Equation, and learning the basics of spintronics.

  1. bottom up approach
  2. nanoelectronics
  3. nanoHUB-U
  4. NCN Group - Nanoelectronics
  5. NEGF
  6. quantum transport
  7. scattering
  8. spin transport
  9. spintronics
  10. wave equation


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This self-paced course explains advanced fundamentals of nanoelectronics and mesoscopic physics.

First in the series, Fundamentals of Nanoelectronics, Part A: Basic Concepts,  is now available as a free self-paced course on edX and nanoHUB-U.

Short Description:

Scientific Overview:

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Course Description:

Nanoelectronic devices are an integral part of our life, including the billion-plus transistors in every smartphone, each of which has an active region that is only a few hundred atoms in length.This nanotechnology course explains the fundamentals of nanoelectronics and mesoscopic physics.

Even with NO prior background in quantum mechanics, you should learn about cutting-edge developments and concepts that will prepare you for a future in nanotechnology and nanoelectronics.

Indeed we hope you will be excited to join the field and help invent the new devices that will shape the electronics of this century and meet its challenges.


This course is intended to be broadly accessible to students in any branch of science or engineering. Students should have a basic familiarity with calculus, elementary differential equations, and matrix algebra. No prior acquaintance with quantum mechanics is assumed.

Recommended Reading:

Lessons from Nanoelectronics: A New Perspective on Transport, by Supriyo Datta, Purdue University

Course Outline:

Unit 1: Schrodinger Equation

L1.1: Introduction
L1.2: Wave Equation
L1.3: Differential to Matrix Equation
L1.4: Dispersion Relation
L1.5: Counting States
L1.6: Beyond 1 - D
L1.7: Lattice with a Basis
L1.8: Graphene
L1.9: Reciprocal Lattice / Valleys
L1.10: Summing Up

Unit 2: Contact-ing Schrodinger

L2.1: Introduction
L2.2: Semiclassical Model
L2.3: Quantum Model
L2.4: NEGF Equations
L2.5: Current Operator
L2.6: Scattering Theory
L2.7: Transmission
L2.8: Resonant Tunneling
L2.9: Dephasing
L2.10: Summing Up

Unit 3: More Examples

L3.1: Introduction
L3.2: Quantum Point Contact
L3.3: Self-Energy
L3.4: Surface Green's Function
L3.5: Graphene
L3.6: Magnetic Field
L3.7: Golden Rule
L3.8: Inelastic Scattering
L3.9: Can NEGF Include Everything?
L3.10: Summing Up

Unit 4: Spin Transport

L4.1: Introduction
L4.2: Magnetic Contacts
L4.3: Rotating Contacts
L4.4: Vectors and Spinors
L4.5: Spin-Orbit Coupling
L4.6: Spin Hamiltonian
L4.7: Spin Density/Current
L4.8: Spin Voltage
L4.9: Spin Circuits
L4.10: Summing Up


Course Resources

  • A free account is required to access some course components.
  • Online quizzes to quickly assess understanding of material after most video lectures.
  • An online forum, hosted by nanoHUB. Students enrolled in the course will be able to interact with one another.


Fundamentals of Nanoelectronics - Part B: Quantum Transport, 2nd Edition published on edX , October 2015 and nanoHUB-U, December 2015.




This self-paced course is available at no cost.

nanoHUB-U is powered by, the home for computational nanoscience and nanotechnology research, education, and collaboration.