Self-Consistent Calculations of Spatial Electron Densities in Quantum Dots Using a Coupled Recursive Green’s Function and Poisson Solver

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We are utilizing the Recursive Green’s function method to calculate the conductance in quantum dots as a function of Fermi energy, magnetic field and random potentials. We have extended the use of the method to calculate a self-consistent electron charge density and potential profile in the dot. This is accomplished by feeding the imaginary part of the Green’s functions into a Poisson solver and feeding the potential obtained from the solver back into the Green’s functions solver, until self consistency is better satisfied. Obtaining a more realistic density and potential profiles gives a better physical understanding to what happens in the dot, and provides more accurate results. We demonstrate the process with a 0.3 x 0.3 mm dot formed at a GaAs/AlGaAs 2DEG.

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Journal: TechConnect Briefs
Volume: Technical Proceedings of the 2000 International Conference on Modeling and Simulation of Microsystems
Published: March 27, 2000
Pages: 445 - 448
Industry sector: Sensors, MEMS, Electronics
Topics: Modeling & Simulation of Microsystems, Nanoelectronics
ISBN: 0-9666135-7-0