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

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

1999-02-23

arxiv.org/abs/cond-mat/9902315v3

Europhys. Lett. 47 (1), pp. 83-89 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

Typos in Eqs. (5-7) corrected

Scientific paper

10.1209/epl/i1999-00355-6

We study the edge states of fractional quantum Hall liquid at bulk filling factor $\nu=2/(2p+\chi)$ with $p$ being an even integer and $\chi=\pm 1$. We describe the transition from a conductance plateau $G=\nu G_0=\nu e^2/h$ to another plateau $G=G_0/(p+\chi)$ 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 $q=e/(2p+\chi)$ on the conductance plateau at $G=\nu G_0$ whereas on the plateau at $G=G_0/(p+\chi)$ it is given by $q=e/(p+\chi)$. For $p=2$ and $\chi=-1$ an alternative hierarchy constructions is also discussed to explain the suppressed shot-noise experiment at bulk filling factor $\nu=2/3$.

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