MSM 2000
MSM 2000
Technical Proceedings of the 2000 International Conference on Modeling and Simulation of Microsystems

Quantum Devices Chapter 10

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

Authors: F. Badrieh and D.K. Ferry

Affilation: Arizona State University, United States

Pages: 445 - 448

Keywords: Green's functions, Poisson's equation, self-consistency, quantum computations

Abstract:
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.


ISBN: 0-9666135-7-0
Pages: 741

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