Inferring the transport properties of edge-states formed at quantum Hall based Aharonov-Bohm interferometers theoretically

Abstract

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.

Contributed paper at the conference on 50 years of the AB effect

References in corpus (6)

• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Interacting electrons in the Aharonov-Bohm interferometer