Self-consistent calculations of spatial electron densities in quantum dot's using a coupled recursive green's function and poisson solver

Fuad Badrieh, D. K. Ferry

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 × 0.3 μm dot formed at a GaAs/AlGaAs 2DEG.

Original languageEnglish (US)
Title of host publication2000 International Conference on Modeling and Simulation of Microsystems - MSM 2000
EditorsM. Laudon, B. Romanowicz
Pages445-448
Number of pages4
StatePublished - Dec 1 2000
Event2000 International Conference on Modeling and Simulation of Microsystems - MSM 2000 - San Diego, CA, United States
Duration: Mar 27 2000Mar 29 2000

Publication series

Name2000 International Conference on Modeling and Simulation of Microsystems - MSM 2000

Other

Other2000 International Conference on Modeling and Simulation of Microsystems - MSM 2000
CountryUnited States
CitySan Diego, CA
Period3/27/003/29/00

Keywords

  • Green's Functions
  • Poisson's Equation
  • Quantum Computations
  • Self-Consistency

ASJC Scopus subject areas

  • Engineering(all)

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    Badrieh, F., & Ferry, D. K. (2000). Self-consistent calculations of spatial electron densities in quantum dot's using a coupled recursive green's function and poisson solver. In M. Laudon, & B. Romanowicz (Eds.), 2000 International Conference on Modeling and Simulation of Microsystems - MSM 2000 (pp. 445-448). (2000 International Conference on Modeling and Simulation of Microsystems - MSM 2000).