Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν = 2

Abstract : We consider the excitation of single-electron wave packets by means of a time dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor ν = 2. Due to electron-electron interactions, fractional excitations emerge along the edge. Their detailed structure is analyzed by evaluating the non-equilibrium momentum distributions associated with the different edge channels. We provide results for a generic time-dependent drive both in the stationary regime and for intermediate times, where the overlap between fractionalized wave packets carries relevant information on interaction strength. As a particular example we focus on a Lorentzian drive, which provides a clear signature of the minimal excitations known as Levitons. Here, we argue that inner-channel fractionalized excitations can be exploited to extract information about inter-channel interactions. We further confirm this idea by calculating the zero frequency noise due to the partitioning of these excitations at a quantum point contact and we propose a measurable quantity as a tool to directly probe electron-electron interactions and determine the so-called mixing angle of copropagating quantum Hall channels.
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Physical Review B : Condensed matter and materials physics, American Physical Society, 2018, 98 (3), 〈10.1103/PhysRevB.98.035426〉
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https://hal.archives-ouvertes.fr/hal-01876128
Contributeur : Thibaut Jonckheere <>
Soumis le : mardi 18 septembre 2018 - 10:56:42
Dernière modification le : jeudi 27 septembre 2018 - 01:20:28
Document(s) archivé(s) le : mercredi 19 décembre 2018 - 13:38:51

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Matteo Acciai, Matteo Carrega, Jérôme Rech, Thibaut Jonckheere, Thierry Martin, et al.. Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν = 2. Physical Review B : Condensed matter and materials physics, American Physical Society, 2018, 98 (3), 〈10.1103/PhysRevB.98.035426〉. 〈hal-01876128〉

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