# Theory of suppressed shot-noise at $\\nu=2/(2p+\\chi)$

Source: [Theory of suppressed shot-noise at $\\nu=2/(2p+\\chi)$](<https://www.sota2.com/research/paper/68fa24c52c2a3760193a8a5d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:30:47.009Z

Authors: K.-I. Imura, K. Nomura

Published: 1999-02-23T15:23:03.000Z

## Abstract

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 $S\_{I}=2q \<I\_b\>$ 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9902315>)

[PDF](<https://arxiv.org/pdf/cond-mat/9902315.pdf>)