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## Piece-Wise Constant Potential Barriers Tool

Transmission and the reflection coefficient of a five, seven, nine, eleven and 2n-segment piece-wise constant potential energy profile

Launch Tool

**Archive** Version **1.1.4**

Published on 19 Feb 2009, unpublished on 01 Apr 2009 All versions

doi:10.4231/D39Z90B6C cite this

#### Category

#### Published on

#### Abstract

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:

- Quantum-Mechanical Reflections
- Quantum-Mechanical Reflections in Nanodevices
- Double-Barrier Structure

- From one well, to two wells, to five wells, to periodic potentials
- Bands as a function of the geometry of the n-well potential

**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.
- 1.1.4- The tool now has the tight-binding Green's function based formalism built into it. This will enable the user to make a comparison between the Transfer matrix method and the single band tight-binding calculation.

#### Sponsored by

NSF

#### References

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

#### Cite this work

Researchers should cite this work as follows:

#### Tags

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- nanoelectronics
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- NCN Supported
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- nanoelectronics
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- NCN Supported
- NCN@Purdue Supported
- nanoelectronics
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- NCN@Purdue Supported
- quantum mechanics
- quantum transport
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- transmission coefficient
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- AQME
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- NCN Supported
- NCN@Purdue Supported
- quantum mechanics
- quantum transport
- reflection coefficient
- transmission coefficient
- tunneling
- ACUTE
- ANTSY
- AQME
- PCPBT