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Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer

Laura Bellentani, Andrea Beggi

2015itquantuminterferometeredge stateselectronscoherence

Abstract

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We present a numerical study of a multichannel electronic Mach-Zehnder interferometer, based on magnetically-driven non-interacting edge states. The electron path is defined by a full-scale potential landscape on the two-dimensional electron gas at filling factor two, assuming initially only the first Landau level as filled. We tailor the two beam splitters with 50% interchannel mixing 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 propose possible strategies to optimize gate performances.

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Cite This Work

@article{279a4629-9f6c-453b-99b2-65a0822952cc,
  title={Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer},
  author={Laura Bellentani and Andrea Beggi},
  year={2015},
  language={it}
}
TY  - JOUR
TI  - Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer
AU  - Laura Bellentani
AU  - Andrea Beggi
PY  - 2015
LA  - it
ER  -

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