Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-03-15
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Contributed paper at the conference on 50 years of the AB effect
Scientific paper
Here, we report on our results where self-consistent calculations are performed to investigate the interference conditions, numerically. We employ the successful 4$^{th}$ order grid technique to obtain the actual electrostatic quantities of the samples used at the quantum Hall based Aharonov-Bohm interferometers. By knowing the electron density distribution we calculate the spatial distribution of the edge-states, which are considered as mono-energetic current channels. Our results are in accord with the experimental findings concerning the electron density distribution. Finally, we also comment on the "optimized" sample design in which highest visibility oscillations can be measured.
Cicek E.
Siddiki Afif
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