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Mach-Zehnder Interferometer in the Fractional Quantum Hall Regime

2006/12/31 by V. V. Ponomarenko, Vadim V. Ponomarenko, D. V. Averin +1 · 2 citations
Computer Science · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.99.066803

published as Phys. Rev. Lett. 99, 66803 (2007) · five two-column pages in RevTex4, 1 eps figure

openalex publication_date 2007/08/10 · arxiv created 2007/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider tunneling between two edges of quantum Hall liquids of filling factors nu(0,1)=1/(2m(0,1)+1), with m(0)>or=m(1)>or=0, through two-point contacts forming a Mach-Zehnder interferometer. A quasiparticle description of the interferometer is derived explicitly through the instanton duality transformation. For m(0)+m(1)+1 identical withm>1, tunneling of quasiparticles of charge e/m leads to nontrivial m-state dynamics of effective flux through the interferometer, which restores the regular "electron" periodicity of the current in flux. The exact solution available for equal propagation times between the contacts shows that the interference pattern depends on voltage and temperature only through a common amplitude.

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