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Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2013

Fractionalization of minimal excitations in integer quantum Hall edge channels

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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.

Dates and versions

ensl-00903722 , version 1 (12-11-2013)

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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), 2013, 88, pp.085302. ⟨10.1103/PhysRevB.88.085302⟩. ⟨ensl-00903722⟩
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