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

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.

References in corpus (7)

• Fractional statistics in anyon collisions
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Tuning Energy Relaxation along Quantum Hall Channels
• Tunneling between helical edge states through extended contacts
• Controlling charge quantization with quantum fluctuations
• Fractionalization and anyonic statistics in the integer quantum Hall collider
• Thermal decay of the Coulomb blockade oscillations

Cited by in corpus (4)

• Quasiparticle Andreev scattering in the $\nu =1/3$ fractional quantum Hall regime
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Hybrid interacting quantum Hall thermal machine
• Signature of anyonic statistics in the integer quantum Hall regime