# Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer - Condensed Matter > Strongly Correlated Electrons

Abstract: We have studied the zero-temperature statistics of charge transfer betweenthe two edges of Quantum Hall liquids with filling factors $u {0,1}=1-2m {0,1}+1$ forming Mach-Zehnder interferometer. The known Bethe ansatzsolution for symmetric interferometer is used to obtain the cumulant-generatingfunction 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 $m\equiv 1+m {0}+m {1}$ ofquasiparticles with fractional for $m>1$ charge and statistics. We alsoanalyze the transition region between electrons and quasiparticles.

Author: Vadim V. Ponomarenko, Dmitri V. Averin

Source: https://arxiv.org/