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Conical Quantum Dots

Conical Quantum Dots. Contents. Introduction Problem Definition Remarks abut the COMSOL Multiphysics implementation Results. Introduction. The aim of the model is to compute electronic states for a quantum dot/wetting layer system.

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Conical Quantum Dots

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  1. Conical Quantum Dots

  2. Contents • Introduction • Problem Definition • Remarks abut the COMSOL Multiphysics implementation • Results

  3. Introduction • The aim of the model is to compute electronic states for a quantum dot/wetting layer system. • The problem definition was largely inspired from the work of Drs. Willatzen and Melnik as well as Mr. Benny Lassen (for example, ‘Bandstructure of conical quantum dots with wetting layers’, by R. Melnik and M. Willatzen, Nanotechnology 15(2004) p.1-8). • Quantum dots are small (nano-scale) devices created by confining free electrons in a three-dimensional semiconducting matrix. • They present many interesting electronic properties and are of potential important technological applications.

  4. Problem Definition • The model equation is the one particle stationary Schrödinger equation. • This eigenvalue problem for the quantum dot system is solved using the step potential barrier and effective mass approximations. • The quantum dot is assumed to show perfect cylindrical symmetry so that the structure can be modeled in 2D InAs GaAs

  5. Remarks about the COMSOL Multiphysics Implementation • Solved using equation-based-modeling in the Coefficient Form Application Mode in COMSOL Multiphysics. • The problem is solved using the Eigenvalue Solver in COMSOL Multiphysics.

  6. Results - Eigenwave Functions for the four lowest electronic energy levels

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