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
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Journal articles
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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 : Monday, October 21, 2019 - 3:14:22 PM

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Charles Grenier, Julie Dubois, Thibaut Jullien, Preden Roulleau, Christian Glattli, et al.. Fractionalization of minimal excitations in integer quantum Hall edge channels. Physical Review B : Condensed matter and materials physics, American Physical Society, 2013, 88, pp.085302. ⟨10.1103/PhysRevB.88.085302⟩. ⟨ensl-00903722⟩

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