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

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 ´ 0.3 mm dot formed at a GaAs/AlGaAs 2DEG