We present a numerical study of a multichannel electronicMach-Zehnder interferometer, based onmagnetically driven noninteracting edge states. The electron path is defined by a full-scale potential landscape on the twodimensional electron gas at filling factor 2, assuming initially only the first Landau level as filled.We tailor the two beamsplitters with 50% interchannelmixing and measure Aharonov-Bohm oscillations in the transmission probability of the second channel.We perform time-dependent simulations by solving the electron Schrödinger equation through a parallel implementation of the split-step Fourier method, and we describe the charge-carrier wave function as a Gaussian wave packet of edge states.We finally develop a simplified theoretical model to explain the features observed in the transmission probability, and we propose possible strategies to optimize gate performances.

Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer / Bellentani, Laura; Beggi, Andrea; Bordone, Paolo; Bertoni, Andrea. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 97(2018), pp. 205419-1-205419-11.

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