The influences of long range Coulomb interaction on the electronic Mach-Zehnder interferometer of quantum Hall edge states

TL;DR

This paper investigates how long-range Coulomb interactions affect the behavior of quantum Hall edge state Mach-Zehnder interferometers, revealing an energy scale linked to observed interference patterns.

Contribution

It analytically demonstrates the role of interchannel zero-mode interactions in shaping the interference visibility lobes in quantum Hall MZIs.

Findings

Identification of a characteristic energy scale due to Coulomb interactions

Analytical explanation of nonmonotonic visibility behavior

Correlation of theoretical results with experimental lobe patterns

Abstract

The influences of long range Coulomb interaction (LRCI) on Mach-Zehnder interferometer (MZI) constructed on quantum Hall edge states is studied employing bosonization method. The interaction of interchannel zero-modes is shown to give rise to a characteristic energy scale which is of the order of the period of experimentally observed lobe pattern of visibility. The nonmonotonic behavior of visibility as found Chalker \textit{et al.} is understood analytically using asymptotic analysis.