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arXiv · 2201.08147

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

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

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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Edvin G. Idrisov, Ivan P. Levkivskyi, Eugene V. Sukhorukov, Thomas L. Schmidt. 2022-01-20. Current cross-correlations in a quantum Hall collider at filling factor two. https://doi.org/10.1103/physrevb.106.085405

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