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

Abstract : We investigate a Fabry-Pérot interferometer in the integer Hall regime in which only one edge channel is transmitted and 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.
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Dario Ferraro, Eugene Sukhorukov. Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime. SciPost Physics, 2017, 3 (2), pp.14. 〈10.21468/SciPostPhys.3.2.014〉. 〈hal-01662912〉

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