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

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

2009-04-15

arxiv.org/abs/0904.2402v2

Phys. Rev. B 80, 201313(R) (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

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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