Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer

Abstract

We have studied the zero-temperature statistics of charge transfer between the two edges of Quantum Hall liquids with filling factors ${\nu }_{0,1}=1/(2m_{0,1}+1)$ forming Mach-Zehnder interferometer. The known Bethe ansatz solution for symmetric interferometer is used to obtain the cumulant-generating function of charge at constant voltage $V$ between the edges. Its low-$V$ behavior can be interpreted in terms of electron tunneling, while its large-$V$ asymptotics reproduces the $m$-state dynamics ($m\equiv 1+m_0+m_1$) of quasiparticles with fractional (for $m>1$) charge and statistics. We also analyze the transition region between electrons and quasiparticles.

5 two-column pages in RevTex4, 2 eps figures, final version with corrected misprints, references, and introduction as appeared in PRB Rapid Comm

References in corpus (6)

• Finite bias visibility of the electronic Mach-Zehnder interferometer
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Coulomb blockade of anyons
• Mach-Zehnder interferometer in the Fractional Quantum Hall regime
• Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer

Cited by in corpus (4)

• Fractional charge and fractional statistics in the quantum Hall effects
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Analytically solvable model of an electronic Mach-Zehnder interferometer
• FQHE interferometers in strong tunneling regime. The role of compactness of edge fields