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Fractionalization of minimal excitations in integer quantum Hall edge channels

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.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00903722
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Submitted on : Tuesday, November 12, 2013 - 8:16:25 PM
Last modification on : Tuesday, December 14, 2021 - 3:18:54 AM

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Charles Grenier, Julie Dubois, Thibaut Jullien, Preden Roulleau, Christian D.C. Glattli, et al.. Fractionalization of minimal excitations in integer quantum Hall edge channels. Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2013, 88, pp.085302. ⟨10.1103/PhysRevB.88.085302⟩. ⟨ensl-00903722⟩

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