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

2005/03/25 by Thibaut Jonckheere, P. Devillard, Pierre Devillard +4 · 1 voice · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.72.201305

published as Physical Review B 72 (2005) 201305(R)

arxiv published 2005/03/25 · openalex publication_date 2005/11/18 · arxiv created 2006/01/06 · arxiv updated 2006/01/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Cited by

• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Splitting electrons into quasiparticles with a fractional edge-state Mach-Zehnder interferometer

Discussions

• In classical physics the evolution of a measurable quantity, such as the $x$ position of a particle is described by an equation of motion with a solution $x(t)$ such that if you measure the $x$ positi [stackexchange, 0 points]