1. Fractionalization of minimal excitations in integer quantum Hall edge channels
- Author
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Preden Roulleau, D. C. Glattli, J. Dubois, Pascal Degiovanni, Charles Grenier, T. Jullien, Centre de Physique Théorique [Palaiseau] (CPHT), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Service de physique de l'état condensé (SPEC - UMR3680), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique de l'ENS Lyon (Phys-ENS), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), École normale supérieure - Lyon (ENS Lyon)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), and Université de Lyon-Université de Lyon
- Subjects
Floquet theory ,Bosonization ,FOS: Physical sciences ,02 engineering and technology ,Electron ,Quantum Hall effect ,01 natural sciences ,Quantum mechanics ,quantum coherence ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,0103 physical sciences ,electron quantum optics ,010306 general physics ,quantum transport ,[PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall] ,Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Scattering ,021001 nanoscience & nanotechnology ,Condensed Matter Physics ,3. Good health ,Electronic, Optical and Magnetic Materials ,Pair production ,73.23-b,73.43.-f,71.10.Pm, 73.43.Lp ,Quantum electrodynamics ,Quasiparticle ,quantum Hall e ffect ,0210 nano-technology ,Coherence (physics) - 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 effect 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., 18 pages, 10 figures, 1 table
- Published
- 2013
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