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Home Courses nanoHUB-U: Fundamentals of Nanoelectronics - Part B: Quantum Transport (2015) Overview

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nanoHUB-U: Fundamentals of Nanoelectronics - Part B: Quantum Transport (2015)

This nanotechnology course explains the fundamentals of nanoelectronics and mesoscopic physics. 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. nanohubU
  4. NEGF

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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.

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.

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

Scientific Overview:

Download mp4 video

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


1.1 Introduction
1.2 Wave Equation
1.3 Differential to Matrix Equation
1.4 Dispersion Relation
1.5 Counting States
1.6 Beyond 1 - D
1.7 Lattice with a Basis
1.8 Graphene
1.9 Reciprocal Lattice / Valleys
1.10 Summing Up

Unit 2: Contact-ing Schrodinger


2.1 Introduction
2.2 Semiclassical Model
2.3 Quantum Model
2.4 NEGF Equations
2.5 Current Operator
2.6 Scattering Theory
2.7 Transmission
2.8 Resonant Tunneling
2.9 Dephasing
2.10 Summing Up

Unit 3: More Examples


3.1 Introduction
3.2 Quantum Point Contact
3.3 Self-Energy
3.4 Surface Green's Function
3.5 Graphene
3.6 Magnetic Field
3.7 Golden Rule
3.8 Inelastic Scattering
3.9 Can NEGF Include Everything?
3.10 Summing Up

Unit 4: Spin Transport


4.1 Introduction
4.2 Magnetic Contacts
4.3 Rotating Contacts
4.4 Vectors and Spinors
4.5 Spin-Orbit Coupling
4.6 Spin Hamiltonian
4.7 Spin Density/Current
4.8 Spin Voltage
4.9 Spin Circuits
4.10 Summing Up

Epilogue

nanoHUB.org, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.