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

Article Article scientifique Article Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime eng 2017-08-17 2017-08-17 author Ferraro Dario 828271 author Sukhorukov Eugene 134361 014 10.21468/scipostphys.3.2.014 2542-4653 https://scipost.org/10.21468/SciPostPhys.3.2.014 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. Dewey 500.2 French National Research Agency (ANR) ARCHIMEDE / Mathématiques ANR-11-LABX-0033 ARCHIMEDE FR 37 Département de physique théorique 133 false SciPost physics 3 2 dac3fadf-7a77-4f28-bca9-a4a8b68591c3 Article (Published version) Public Article-scientifique-from-unpaywall.pdf 606128 application/pdf CC BY-4.0 openAccess Faculté des sciences / Section de physique / Département de physique théorique

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Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime	SciPost physics			2017	153	149

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