An electronic Mach-Zehnder interferometer in the Fractional Quantum Hall effect

Details An electronic Mach-Zehnder interferometer in the Fractional Quantum Hall effect An electronic Mach-Zehnder interferometer in the Fractional Quantum Hall effect

2005-03-25

arxiv.org/abs/cond-mat/0503617v4

Physical Review B 72 (2005) 201305(R)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.72.201305

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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