Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer

Abstract

We have studied theoretically the tunneling between two edges of Quantum Hall liquids (QHL) of different filling factors, ${\nu }_{0,1}=1/(2m_{0,1}+1)$, with $m_0\ge m_1\ge 0$, through two separate point contacts in the geometry of Mach-Zehnder interferometer [Y. Ji et al., Nature {\bf 422}, 415 (2003); I. Neder et al., Phys.\ Rev.\ Lett. {\bf 96}, 016804 (2006)]. The quasi-particle formulation of the interferometer model is derived as a dual to the initial electron model, in the limit of strong electron tunneling reached at large voltages or temperatures. For $m\equiv 1+m_0+m_1>1$, the tunneling of quasiparticles of fractional charge $e/m$ leads to non-trivial $m$-state dynamics of effective flux through the interferometer, which restores the regular "electron" periodicity of the current in flux despite the fractional charge and statistics of quasiparticles. The exact solution available for equal times of propagation between the contacts along the two edges demonstrates that the interference pattern of modulation of the tunneling current by flux depends on voltage and temperature only through a common amplitude.

fourteen two-column pages in RevTex4, 4 eps figure, extended final verson as appeared in PRB

References in corpus (3)

• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Mach-Zehnder interferometer in the Fractional Quantum Hall regime
• An electronic Mach-Zehnder interferometer in the Fractional Quantum Hall effect

Cited by in corpus (7)

• Fractional charge and fractional statistics in the quantum Hall effects
• Multiparticle interference in electronic Mach-Zehnder interferometers
• Braiding of anyonic quasiparticles in the charge transfer statistics of symmetric fractional edge-state Mach-Zehnder interferometer
• Chirality and Current-Current Correlation in Fractional Quantum Hall Systems
• Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer
• FQHE interferometers in strong tunneling regime. The role of compactness of edge fields
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries