Support

Support Options

Submit a Support Ticket

 

Periodic Potential Lab Learning Materials

by Saumitra Raj Mehrotra, Dragica Vasileska, Gerhard Klimeck, Alejandra J. Magana, SungGeun Kim

figure1.jpg

By completing the Periodic Potential Lab in ABACUS - Assembly of Basic Applications for Coordinated Understanding of Semiconductors, users will be able a) to understand the Kronig-Penney model and the formation of energy bands and energy gaps due to the underlying periodic interaction potential, b) to understand the concept of the effective mass, and c) to create their own Kronig-Penney solver.


The specific objectives of the Periodic Potentials Lab are:

template_scheme.jpg

Recommended Reading

Users who are new to periodic potentials, bandstructure, or the concept of the effective mass should consult the following resources:

1. D. K. Ferry, Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, Second Edition (Institute of Physics Publishing, 2001).

Demo

Theoretical Descriptions

* Energy Bands In Periodic Potentials

* Periodic Potential

* Periodic Potentials and the Kronig-Penney Model

Tool Verification

Nanoelectronic Modeling Lecture 14: Open 1D Systems - Formation of Bandstructure

Examples

1. Periodic Potential Lab Worked Examples

Exercises and Homework Assignments

1. Homework Assignment: Periodic Potentials

2. Periodic Potentials and Bandstructure: an Exercise

Solutions to Exercises

Solutions to exercises are provided only to instructors!

Evaluation

This resource will evaluate the user’s conceptual understanding of the physical, mathematical and computational knowledge related to periodic potentials and formation of bandstructure in crystals.

ABACUS: Test for Periodic Potential Lab

Challenge

In this final challenge, users will integrate what they have learned about the Kronig-Penney model.

Periodic Potentials Exercise

Created on , Last modified on

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.