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

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 $\nu =2/3$.

Typos in Eqs. (5-7) corrected

References in corpus (3)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Quantum transport in $\nu =2/3$ spin-singlet quantum Hall edges
• Observation of a Fifth of the Electron Charge

Cited by in corpus (4)

• Shot Noise in Mesoscopic Conductors
• Quasi-Particle Tunneling in Anti-Pfaffian Quantum Hall State
• Strong quasi-particle tunneling study in the paired quantum Hall states
• The edge state network model and the global phase diagram