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Quantum Dot Lab

By Gerhard Klimeck1, Lars Bjaalie2, Sebastian Steiger1, David Ebert1, Tillmann Christoph Kubis1, Matteo Mannino1, Michael McLennan1, Hong-Hyun Park1, Michael Povolotskyi1

1. Purdue University 2. University of Illinois at Urbana-Champaign

Compute the eigenstates of a particle in a box of various shapes including domes and pyramids.

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Archive Version 2.0.1
Published on 11 Oct 2010
Latest version: 2.1. All versions

doi:10.4231/D3Z31NN8G cite this

This tool is closed source.

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Abstract

Quantum dots can be produced in a variety of material systems and geometries. This simple educational tool simulates the particle in a box problem for a variety of geometries such as boxes, cylinders, pyramids, and ellipsoids. A simple single band effective mass model is employed and the simulations run interactively. 3-D visualization depicts the 3-D confined wave functions. Optical transitions are computed and sorted into dark and light lines. Absorption curves are computed for different polarizations and orientations. Parameters such as incident light angle and polarization, Fermi level, or temperature can be scanned to analyze the effect of 3-D geometries on isotropic optical properties.


This tool is supported by variety of different materials:


A general tutorial entitled “Quantum Dots” on the origin of quantum mechanics and the interpretation of quantum dots as artificial atoms. An introductory tutorial to the tool “Introduction to Quantum Dot Lab” with usage scenarios on state filling, light/dark absorption lines, and absorption coefficients. An second introductory tutorial to the tool “

Quantum Dot Lab Learning Module: An Introduction” with simple usage scenarios. An homework / project assignment entitled “Homework Exercise on Quantum Dot Spectra, Absorption, and State Symmetry”.

Upgrades from previous versions:


Ver 1.1: Now users can select an effective mass of the quantum dot. Also the tool speed was a bit improved and there is a status bar indicating progress in the visualization preparation – which had been slow.


Ver 1.1.1: The optical absorption lines are not as finely resolved and therefore do not demand such large file sizes. The default absorption line width was also increased by a factor of 10. Finally the number of allowed states was increased to 150.


Ver 1.1.4: Added default values for effective mass for the different materials listed.


Ver 2.0: The tool now runs NEMO 5 instead of NEMO 3D. This fixes a problem connected to the absolute position of energy levels. A 1s tight-binding band structure model is used which is equivalent to an effective-mass model. The optical matrix elements and absorption peaks are calculated slightly differently compared to the old tool. The GUI has been rearranged, allowing for the effective mass parameters to be set by the user. The tab for optical calculations has also been cleaned up. The performance of NEMO 5 is still undergoing optimizations.

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