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arXiv · 1207.1719

Shot Noise Signatures of Charge Fractionalization in the $ν=2$ Quantum Hall edge

Mirco Milletarì·Bernd Rosenow
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Abstract

We investigate the effect of interactions on shot noise in $ν=2$ quantum Hall edges, where a repulsive coupling between co-propagating edge modes is expected to give rise to charge fractionalization. Using the method of non-equilibrium bosonization, we find that even asymptotically the edge distribution function depends in a sensitive way on the interaction strength between the edge modes. We compute shot noise and Fano factor from the asymptotic distribution function, and from comparison with a reference model of fractionalized excitations we find that the Fano factor can be close to the value of the fractionalized charge.

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Mirco Milletarì, Bernd Rosenow. 2013-09-11. Shot Noise Signatures of Charge Fractionalization in the $ν=2$ Quantum Hall edge. https://doi.org/10.1103/physrevlett.111.136807

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