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Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime

Published inSciPost physics, vol. 3, no. 2, 014
Publication date2017-08-17
First online date2017-08-17
Abstract

We investigate a Fabry-Pérot interferometer in the integer Hall regime in which only one edge channel is transmitted and n n channels are trapped into the interferometer loop. Addressing recent experimental observations, we assume that Coulomb blockade effects are completely suppressed due to screening, while keeping track of a residual strong short range electron-electron interaction between the co-propagating edge channels trapped into the interferometer loop. This kind of interaction can be completely described in the framework of the edge-magnetoplasmon scattering matrix theory allowing us to evaluate the backscattering current and the associated differential conductance as a function of the bias voltage. The remarkable features of these quantities are discussed as a function of the number of trapped channels. The developed formalism reveals very general and provides also a simple way to model the experimentally relevant geometry in which some of the trapped channels are absorbed into an Ohmic contact, leading to energy dissipation.

Funding
  • French National Research Agency (ANR) - ARCHIMEDE / Mathématiques [ANR-11-LABX-0033]
Citation (ISO format)
FERRARO, Dario, SUKHORUKOV, Eugene. Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime. In: SciPost physics, 2017, vol. 3, n° 2, p. 014. doi: 10.21468/scipostphys.3.2.014
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ISSN of the journal2542-4653
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