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

  • University of Minho

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4 Scopus citations

Abstract

We have studied the zero-temperature statistics of charge transfer between the two edges of quantum Hall liquids with filling factors ν0,1 =1/ (2 m0,1 +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=1+ m0 + m1) of quasiparticles with fractional (for m>1) charge and statistics. We also analyze the transition region between electrons and quasiparticles.

Original languageEnglish
Article number201313
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume80
Issue number20
DOIs
StatePublished - Nov 20 2009

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