The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)

Abstract

The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a Hartree type self-consistent model. The magnetic field dependence of these IES is investigated and it is found that an interference pattern may be observed if two IES merge or come very close, near the quantum point contacts. Our calculations demonstrate that, being in a quantized Hall plateau does not guarantee observing the interference behavior.

EP2DS-17 Proceedings, 6 Pages, 2 Figures

References in corpus (4)

• Coherence oscillations in dephasing by non-Gaussian shot noise
• Fermionic Mach-Zehnder interferometer subject to a quantum bath
• Range-Dependent Disorder Effects on the Plateau-Widths Calculated within the Screening Theory of the Iqhe
• Where are the edge-states near the quantum point contacts? A self-consistent approach

Cited by in corpus (1)

• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime