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

Ferraro, Dario; Sukhorukov, Eugene

doi:10.21468/SciPostPhys.3.2.014

SciPost Physics

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

D. Ferraro, E. Sukhorukov

SciPost Phys. 3, 014 (2017) · published 17 August 2017

doi: 10.21468/SciPostPhys.3.2.014
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.3.2.014
TI  - Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime
PY  - 2017/08/17
UR  - https://scipost.org/SciPostPhys.3.2.014
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 3
IS  - 2
SP  - 014
A1  - Ferraro, Dario
AU  - Sukhorukov, Eugene
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.3.2.014,
	title={{Interaction effects in a multi-channel Fabry-Pérot interferometer in the Aharonov-Bohm regime}},
	author={D. Ferraro and E. Sukhorukov},
	journal={SciPost Phys.},
	volume={3},
	pages={014},
	year={2017},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.3.2.014},
	url={https://scipost.org/10.21468/SciPostPhys.3.2.014},
}

Cited by 10

Ontology / Topics

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Aharonov-Bohm effect Coulomb blockade Differential conductance Dissipation Fabry-Pérot interferometers Ohmic contacts Quantum Hall edge states Quantum Hall effect Screening

Authors / Affiliations: mappings to Contributors and Organizations

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¹ ² Dario Ferraro,
¹ Eugene Sukhorukov

Funders for the research work leading to this publication