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Resonant dephasing in the electronic Mach-Zehnder interferometer

Eugene V. Sukhorukov, Vadim V. Cheianov

cond-mat.mes-hallarXiv:cond-mat/0609288

Abstract

We address the recently-observed unexpected behavior of Aharonov-Bohm oscillations in the electronic Mach-Zehnder interferometer that was realized experimentally in a quantum Hall system [1]. We argue that the measured lobe structure in the visibility of oscillations and the phase rigidity result from a strong long-range interaction between two adjacent counter-propagating edge states, which leads to a resonant scattering of plasmons. The visibility and phase shift, which we expressed in terms of the transmission coefficient for plasmons, can be used for the tomography of edge states.

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