Friday morning October 31, nanoHUB tools and home directories will be unavailable from 6 AM to noon (eastern time); we're getting a new file server! All tool sessions will be lost. Also, the web site will be unavailable for about 15 minutes sometime between 8-9 AM.


Support Options

Submit a Support Ticket


Piece-Wise Constant Potential Barriers Tool Demonstration: Bandstructure Formation with Finite Superlattices

By Gerhard Klimeck1, Benjamin P Haley2

1. Electrical and Computer Engineering, Purdue University, West Lafayette, IN 2. Purdue University



Published on


This video shows the simulation and analysis of a systems with a series of potential barriers. Several powerful analytic features of Piece-wise Constant Potential Barrier Tool (PCPBT) are demonstrated, including the following:

number and height of the barriers as well as the wells between barriers can easily be modified A single quantum well formed by two finite barriers result in resonance transmissions. A double quantum well slits the resonance peaks into two components. For N barriers, one gets N-1 quantum wells, resulting in resonance transmissions with N-1 peaks. The resonances peaks overlap and form a band. The positions of the peaks for a dispersion that is similar to the periodic potential dispersion computed in the standard Kroenig-Penney model

Cite this work

Researchers should cite this work as follows:

  • Gerhard Klimeck; Benjamin P Haley (2009), "Piece-Wise Constant Potential Barriers Tool Demonstration: Bandstructure Formation with Finite Superlattices,"

    BibTex | EndNote

Tags, 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.