Online Simulation

And More

Top 25 Tags (all tags)

  1. algorithms
  2. aqme
  3. carbon nanotubes
  4. course lecture
  5. cyberinfrastructure
  6. devices
  7. education/outreach
  8. experiments
  9. material science
  10. molecular electronics
  11. nano/bio
  12. nanobio applications
  13. nano electro-mechanical systems
  14. nanoelectronics
  15. nanomedicine
  16. nanophotonics
  17. nano-transistors
  18. nanowires
  19. NEGF
  20. quantum dots
  21. quantum transport
  22. research seminar
  23. transistors
  24. tutorial
  25. uIllinois

Other

Trouble Report

For immediate assistance browse through our support center. You can find answers to many questions in just a few minutes.

If still experiencing problems, send us a report.

Sending report ...

Quantum Mechanics: Periodic Potentials and Kronig-Penney Model

Piece-Wise Constant Potential Barriers Tool

This resource has a 8.9 Ranking

Ranking is calculated from a formula comprised of user reviews and usage statistics. Learn more ›

Usage Stats
Overall Period: Updated 21 Nov, 2008
Users: 22
Jobs: 522
Avg. exec. time: 34 secs
Reviews & Citations
Google/IEEE
Avg. Review: 5.0 out of 5 stars
Citations: 0

22 users, detailed statistics

1 review (Review this)

0 citations

6 questions (Ask a question)

Launch Tool

You must log in before you can run this tool.

This tool is closed source.

Version 1.1.3 - published on 06 Nov, 2008
Contributor(s) Dragica Vasileska
Arizona State University

Gerhard Klimeck, Xufeng Wang, Samarth Agarwal
Purdue University, West Lafayette
At a glance Transmission and the reflection coefficient of a five, seven, nine, eleven and 2n-segment piece-wise constant potential energy profile
Description Detailed description of the physics that needs to be understood to correctly use this tool and interpret the results obtained, is provided in the reading materials listed below: Exercises that illustrate the importance of quantum-mechanical reflections in state of the art devices and the resonance width dependence upon the geometry in the double-barrier structure that is integral part of resonant tunneling diodes are given below: The formation of bands in periodic potentials and how the width and the number of the energy bands varies by varying the geometry of the n-well potential is illustrated via the following homework assignments: One can also use this tool to calculate the transmission coefficient through barriers that are approximated with piece-wise constant segments. One can also use this tool to test the validity of first-order and second order stationary perturbation theory.
Improvements / modifications in subsequent releases:
  • 1.1.2 - the energy and transmission coefficent axis are exchanged, so the resonance peaks now line up with the spatial resonances in the barrier structure.
  • 1.1.2 - bug-fix: transmission through a single barrier can be simulated now in the "n" barrier case. The code no longer provides an empty output.
  • 1.1.2 - the adaptive energy refinement was improved through a different algorithm. The tool no longer utilizes the Matlab built-in adaptive integration routine but an adaptive resonance finding and grid refinement technique as used in the NEMO1D tool or the Resonant Tunneling Diode Tool.
  • 1.1.2 - The single barrier case has been corrected and should be functional.
  • 1.1.2 - The tool now has a progress update for the adaptive resonance finding.
Sponsored by

NSF

References

Dragica Vasileska lecture notes on Quantum mechanics http://www.eas.asu.edu/~vasilesk .

Cite this work

If you reference this work in a publication, please cite as follows:

  • Vasileska, Dragica; Klimeck, Gerhard; Wang, Xufeng; Agarwal, Samarth (2008), "Piece-Wise Constant Potential Barriers Tool," doi: 10254/nanohub-r4826.5.

    BibTex | EndNote

In addition, we would appreciate it if you would add the following acknowledgment to your publication:

  • Simulation services for results presented here were provided by the Network for Computational Nanotechnology (NCN) at nanoHUB.org

Type Tools
Tags

Citations

The following are publications that have cited this resource, separated by their affiliation to the NCN.

No citations found.

Reviews

The following are reviews of this resource from other site members.

Write a review

  1. 5.0 out of 5 stars 

    Posted on 09 October, 2008 by Anonymous

See also

The following are resources that may cover similar or related topics.

People who looked at this also looked at:

Network Recommendations powered by CIKNOW developed by the Science of Networks in Communities Research (SONIC) group at Northwestern University.

Recommendations will load momentarily. If you do not see content change after 30 seconds, there may be a number of reasons:

  • You have javascript turned off in your browser.
  • You have browser incapable of handling the scripts that load the recommendations.
  • There is a problem with the recommendation service and it failed to respond.