## Courses

## 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.

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.**

**Prerequisites: **

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

**Epilogue**

**Course Resources**

- A free nanoHUB.org 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.

**Licensing**

**Registration**

This self-paced course is available at no cost.

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