Introduction to Quantum Dot Lab

By Sunhee Lee1; Hoon Ryu1; Gerhard Klimeck1

1. Purdue University

Published on

Abstract

The nanoHUB tool "Quantum Dot Lab" allows users to compute the quantum mechanical "particle in a box" problem for a variety of different confinement shapes, such as boxes, ellipsoids, disks, and pyramids. Users can explore the energy spectrum and orbital shapes of new quantized states interactively. These artificial atoms have their own particular optical absorption properties that can be explored interactively in seconds. This presentation introduces the particle in the box problem in 1D and 3D, explores the concept of occupied and empty states, allowed transitions, and optical absorption. Students are encouraged to duplicate all the simulation results shown in the presentation. Exercises and a project or homework assignment is given at the end of the presentation.

Bio

Gerhard Klimeck Dr. Gerhard Klimeck is a Professor of Electrical and Computer Engineering at Purdue University and serves as the Associate Director for Technologies of the National Science Foundation Network for Computational Nanotechnology since Dec. 2003. For the NCN he has been directing the replacement of web-form driven online simulation on www.nanoHUB.org by fully interactive simulations. The change in technology resulted in a six-fold growth of simulation user numbers in just over 2 years to over 5,900 annual users. His research interest is in the quantum mechanical modeling of electron transport through nanoelectronic devices, parallel computing, and genetic algorithms. This interest drove the development of NEMO 1-D and NEMO3-D. Dr. Klimeck received his Ph.D. in 1994 from Purdue University and his German electrical engineering degree in 1990 from Ruhr-University Bochum.

Credits

Course lecture for ECET 499N Introduction to Nanotechnology.

Cite this work

Researchers should cite this work as follows:

  • Sunhee Lee, Hoon Ryu, Gerhard Klimeck (2008), "Introduction to Quantum Dot Lab," https://nanohub.org/resources/4194.

    BibTex | EndNote

Time

Location

Grissom, Room 274, Purdue University, West Lafayette, IN

Tags

Introduction to Quantum Dot Lab
  • Introduction to Quantum Dot Lab 1. Introduction to Quantum Dot La… 0
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  • Analytical Solutions to the Schrödinger Equation 2. Analytical Solutions to the Sc… 34.034034034034036
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  • 1-D Particle in a Box – A Solution Guess 3. 1-D Particle in a Box – A So… 209.5428762095429
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  • 1-D Particle in a Box – Visualization 4. 1-D Particle in a Box – Visu… 310.57724391057724
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  • 1-D Particle in a Box – Normalization to ONE particle 5. 1-D Particle in a Box – Norm… 416.016016016016
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  • 1-D Particle in a Box – The Solution 6. 1-D Particle in a Box – The … 538.87220553887221
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  • 1-D Particle in a Box – Quantum vs. Macroscopic 7. 1-D Particle in a Box – Quan… 657.4240907574241
    00:00/00:00
  • 3-D Particle in a Box 8. 3-D Particle in a Box 724.55789122455792
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  • 3-D Particle in a Cube 9. 3-D Particle in a Cube 820.92092092092093
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  • Transition Energy 10. Transition Energy 988.988988988989
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  • Available States 11. Available States 1158.7253920587255
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  • Fermi-Dirac Distribution Function 12. Fermi-Dirac Distribution Funct… 1381.8485151818486
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  • Energy Absorption Example 13. Energy Absorption Example 1458.0246913580247
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  • Quantum Dot Lab 14. Quantum Dot Lab 1665.4988321654989
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  • Quantum Dot Lab Simple Overview 15. Quantum Dot Lab Simple Overvie… 1677.8111444778112
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  • Exercise 1 3D box - setup 16. Exercise 1 3D box - setup 1701.5015015015015
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  • Exercise 1 3d box - Eigenstates 17. Exercise 1 3d box - Eigenstate… 1745.5455455455456
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  • Exercise 2 and 3 18. Exercise 2 and 3 1795.7624290957624
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  • Optical Property of Quantum Dot 19. Optical Property of Quantum Do… 1826.5932599265934
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  • Optical Property of Quantum Dot - Example 20. Optical Property of Quantum Do… 1876.1094427761095
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  • Optical Property of Quantum Dot - Example 21. Optical Property of Quantum Do… 2033.6002669336003
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  • Optical Property of Quantum Dot – X-Polarized Light 22. Optical Property of Quantum Do… 2157.8244911578245
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  • Optical Property of Quantum Dot – Y-Polarized Light 23. Optical Property of Quantum Do… 2195.7624290957624
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  • Optical Property of Quantum Dot – Z-Polarized Light 24. Optical Property of Quantum Do… 2259.7931264597933
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  • Optical Property of Quantum Dot – X-Pol – orthogonal Φ=0 θ=0 25. Optical Property of Quantum Do… 2298.798798798799
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  • Optical Property of Quantum Dot – Angle Variation Φ=0 θ=0..90 26. Optical Property of Quantum Do… 2330.2969636302969
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  • Optical Property of Quantum Dot – 45 Degree shift Φ=45 θ=0..90 27. Optical Property of Quantum Do… 2381.3813813813813
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  • Optical Property of Quantum Dot – Many more states Φ=45 θ=0 20 states 28. Optical Property of Quantum Do… 2436.9369369369369
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  • Optical Property of Quantum Dot – Many more states Φ=45 θ=0 20 states 29. Optical Property of Quantum Do… 2464.064064064064
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  • Optical Property of Quantum Dot - Example 30. Optical Property of Quantum Do… 2633.6670003336671
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  • 1-D Particle in a Box – The Solution 31. 1-D Particle in a Box – The … 2824.6913580246915
    00:00/00:00
  • 1-D Particle in a Box – Quantum vs. Macroscopic 32. 1-D Particle in a Box – Quan… 2915.2152152152153
    00:00/00:00