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Current cross-correlations in a quantum Hall collider at filling factor two

Edvin G. Idrisov, Ivan P. Levkivskyi, Eugene V. Sukhorukov, Thomas L. Schmidt

20/1/22 Published in : arXiv:2201.08147

We use the non-equilibrium bosonization technique to study the effects of Coulomb interactions in mesoscopic electron colliders based on quantum Hall (QH) edge states at filing factor \nu = 2. The current cross-correlations and Fano factor, which carry the information about the exclusion statistics, are calculated. It is shown that both these quantities have a non-analytical dependence on the source transparency, which scales as \log(1/T_s) at small T_s \ll 1. This is the consequence of electron-electron interactions in the outgoing non-equilibrium states of the collider.

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