An electronic Mach-Zehnder interferometer in the Fractional Quantum Hall effect
arXiv:cond-mat/0503617 · doi:10.1103/PhysRevB.72.201305
Abstract
We compute the interference pattern of a Mach-Zehnder interferometer operating in the fractional quantum Hall effect. Our theoretical proposal is inspired by a remarkable experiment on edge states in the Integer Quantum Hall effect (IQHE). The Luttinger liquid model is solved via two independent methods: refermionization at nu=1/2 and the Bethe Ansatz solution available for Laughlin fractions. The current differs strongly from that of single electrons in the strong backscattering regime. The Fano factor is periodic in the flux, and it exhibits a sharp transition from sub-Poissonian (charge e/2) to Poissonian (charge e) in the neighborhood of destructive interferences.
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Cited by in corpus (13)
- Interferometry of non-Abelian Anyons
- Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
- Decoherence and interactions in an electronic Mach-Zehnder interferometer
- Anyons in Quantum Hall Interferometry
- Multiparticle interference in electronic Mach-Zehnder interferometers
- Mach-Zehnder interferometer in the Fractional Quantum Hall regime
- Two-particle interferometry in quantum Hall edge channels
- Two-sites quantum island in the quasi-ballistic regime
- Braiding of anyonic quasiparticles in the charge transfer statistics of symmetric fractional edge-state Mach-Zehnder interferometer
- Interaction-induced supercurrent in quantum Hall setups
- Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer
- Coherence and Phase in an Electronic Mach-Zehnder Interferometer: An Unexpected Behavior of Interfering Electrons
- Fractional-statistics-induced entanglement from Andreev-like tunneling