Exactly Solved Model for an Electronic Mach-Zehnder Interferometer

Details Exactly Solved Model for an Electronic Mach-Zehnder Interferometer Exactly Solved Model for an Electronic Mach-Zehnder Interferometer

2009-03-19

arxiv.org/abs/0903.3387v2

Phys. Rev. B 80, 161306(R) (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures, final version as published

Scientific paper

10.1103/PhysRevB.80.161306

We study nonequilibrium properties of an electronic Mach-Zehnder interferometer built from integer quantum Hall edge states at filling fraction $\nu{=}1$. For a model in which electrons interact only when they are inside the interferometer, we calculate exactly the visibility and phase of Aharonov-Bohm fringes at finite source-drain bias. When interactions are strong, we show that a lobe structure develops in visibility as a function of bias, while the phase of fringes is independent of bias, except near zeros of visibility. Both features match the results of recent experiments [Neder \textit{et al.} Phys. Rev. Lett. \textbf{96}, 016804 (2006)].

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