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Theory of suppressed shot-noise at $ν=2/(2p+χ)$

K. -I. Imura·K. Nomura
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Abstract

We study the edge states of fractional quantum Hall liquid at bulk filling factor $ν=2/(2p+χ)$ with $p$ being an even integer and $χ=\pm 1$. We describe the transition from a conductance plateau $G=νG_0=νe^2/h$ to another plateau $G=G_0/(p+χ)$ in terms of chiral Tomonaga-Luttinger liquid theory. It is found that the fractional charge $q$ which appears in the classical shot-noise formula $S_{I}=2q $ is $q=e/(2p+χ)$ on the conductance plateau at $G=νG_0$ whereas on the plateau at $G=G_0/(p+χ)$ it is given by $q=e/(p+χ)$. For $p=2$ and $χ=-1$ an alternative hierarchy constructions is also discussed to explain the suppressed shot-noise experiment at bulk filling factor $ν=2/3$.

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K. -I. Imura, K. Nomura. 1999-03-02. Theory of suppressed shot-noise at $ν=2/(2p+χ)$. https://doi.org/10.1209/epl%2Fi1999-00355-6

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