Fractionalization of minimal excitations in integer quantum Hall edge channels

Charles Grenier; Julie Dubois; Thibaut Jullien; Preden Roulleau; Christian Glattli; Pascal Degiovanni

Fractionalization of minimal excitations in integer quantum Hall edge channels

Charles Grenier ¹ Julie Dubois ² Thibaut Jullien ² Preden Roulleau ² Christian Glattli ² Pascal Degiovanni ^{3, *}

* Corresponding author

1 CPHT - Centre de Physique Théorique [Palaiseau]

2 SPEC - UMR3680 - Service de physique de l'état condensé

3 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

Abstract : A theoretical study of the single electron coherence properties of Lorentzian and rectangular pulses is presented. By combining bosonization and the Floquet scattering approach, the eff ect of interactions on a periodic source of voltage pulses is computed exactly. When such excitations are injected into one of the channels of a system of two copropagating quantum Hall edge channels, they fractionalize into pulses whose charge and shape reflects the properties of interactions. We show that the dependence of fractionalization induced electron/hole pair production in the pulses amplitude contains clear signatures of the fractionalization of the individual excitations. We propose an experimental setup combining a source of Lorentzian pulses and an Hanbury Brown and Twiss interferometer to measure interaction induced electron/hole pair production and more generally to reconstruct single electron coherence of these excitations before and after their fractionalization.

keyword : electron quantum optics quantum transport quantum Hall e ffect quantum coherence

Document type :

Journal articles

Domain :

Physics [physics] / Condensed Matter [cond-mat] / Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall]

Complete list of metadatas

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00903722
Contributor : Pascal Degiovanni <>
Submitted on : Tuesday, November 12, 2013 - 8:16:25 PM
Last modification on : Thursday, May 9, 2019 - 2:06:03 PM

Fractionalization of minimal excitations in integer quantum Hall edge channels

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Fractionalization of minimal excitations in integer quantum Hall edge channels

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