SciPost Phys. 3, 014 (2017) ·
published 17 August 2017
We investigate a Fabry-P\'erot 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.