Ir al contenido principal

Introduction to Quantum Transport

This course introduces the non-equilibrium Green’s function (NEGF) method widely used to describe quantum effects in nanoscale devices, along with its applications to spintronic devices.

Elige tu sesión:

Una vez finalizada la sesión del curso, será archivado.
Comenzó el 27 sept
Termina el 1 nov
Comienza el 28 mar 2022
Termina el 2 may 2022
6 semanas estimadas
8–9 horas por semana
Al ritmo del instructor
Con un cronograma específico
Gratis
Verificación opcional disponible

Sobre este curso

Omitir Sobre este curso

This course introduces the Schrödinger equation, using the tight-binding method to discuss the concept of bandstructure and E(k) relations, followed by an introduction to the NEGF method with simple illustrative examples. Concept of spinors is introduced along with the application of the NEGF method to spintronic devices.

No prior background in quantum mechanics or statistical mechanics is assumed.

Students taking this course will be required to complete three (3) proctored exams using the edX online Proctortrack software. To be sure your computer is compatible, see Proctortrack Technical Requirements.

Nanoscience and Technology MicroMasters ®

Introduction to Quantum Transport is one course in a growing suite of unique, one-credit-hour short courses developed in an edX/Purdue University collaboration. Students may elect to pursue a verified certificate for this specific course alone or as one of the six courses needed for the edX/Purdue MicroMasters® program in Nanoscience and Technology.

For further information and other courses offered, see the Nanoscience and Technology MicroMasters® page. Courses like this can also apply toward a Purdue University MSECE degree for students accepted into the full master’s program.

De un vistazo

  • Institución: PurdueX
  • Tema: Electrónica
  • Nivel: Advanced
  • Prerrequisitos:

    Undergraduate degree in engineering or the physical sciences, specifically differential equations and linear algebra.

Lo que aprenderás

Omitir Lo que aprenderás
  • The Schrödinger equation
  • How the tight-binding model works
  • The concept of bandstructure and E(k) relations
  • Self-energy
  • Broadening
  • NEGF equations
  • Dephasing

Plan de estudios

Omitir Plan de estudios

Week 1: Schrödinger Equation

1.1 Introduction
1.2 Wave Equation
1.3 Differential to Matrix Equation
1.4 Dispersion Relation
1.5 Counting States

Week 2: Schrödinger Equation (continued)

1.6 Beyond 1D
1.7 Lattice with a Basis
1.8 Graphene
1.9 Reciprocal Lattice/Valleys
1.10 Summing Up

Week 3: Contact-ing Schrödinger & Examples

2.1 Introduction
2.2 Semiclassical Model
2.3 Quantum Model
2.4 NEGF Equations
2.5 Bonus Lecture, NOT covered on exams
2.6 Scattering Theory

Week 4: Contact-ing Schrödinger & Examples (continued)
2.7 Transmission
2.8 Resonant Tunneling
2.9 Dephasing
2.10 Summing Up
3.1 Bonus Lecture, NOT covered on exams
3.2 Quantum Point Contact
3.3 - 3.10 Bonus Lectures, NOT covered on exams

Week 5: Spin Transport

4.1 Introduction
4.2 Magnetic Contacts
4.3 Rotating Contacts
4.4 Vectors and Spinors
4.5 - 4.6 Bonus Lectures NOT covered on exams
4.7 Spin Density/Current
4.8-4.10 Bonus Lectures NOT covered on exams

Text: S. Datta, “Lessons from Nanoelectronics”, Part B: Quantum Transport, World Scientific, Second Edition 2017
The manuscript will be available for download in the course.

Testimonios de los estudiantes

Omitir Testimonios de los estudiantes

From Nobel Prize winner Roald Hoffmann, Cornell University:
"… the pedagogical imperative in research is very important to me, and so I really value a kindred spirit. Your (Datta's) online courses are just wonderful!"

Acerca de los instructores

¿Quién puede hacer este curso?

Lamentablemente, las personas residentes en uno o más de los siguientes países o regiones no podrán registrarse para este curso: Irán, Cuba y la región de Crimea en Ucrania. Si bien edX consiguió licencias de la Oficina de Control de Activos Extranjeros de los EE. UU. (U.S. Office of Foreign Assets Control, OFAC) para ofrecer nuestros cursos a personas en estos países y regiones, las licencias que hemos recibido no son lo suficientemente amplias como para permitirnos dictar este curso en todas las ubicaciones. edX lamenta profundamente que las sanciones estadounidenses impidan que ofrezcamos todos nuestros cursos a cualquier persona, sin importar dónde viva.

¿Te interesa este curso para tu negocio o equipo?

Capacita a tus empleados en los temas más solicitados con edX para Negocios.