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arXiv · 0904.2402

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

Vadim V. Ponomarenko·Dmitri V. Averin
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Abstract

We have studied the zero-temperature statistics of charge transfer between the two edges of Quantum Hall liquids with filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$ 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.

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Vadim V. Ponomarenko, Dmitri V. Averin. 2009-04-15. Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer. https://doi.org/10.1103/physrevb.80.201313

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