Europhys. Lett.
Volume 47, Number 1, July 1999
Page(s) 83 - 89
Section Condensed matter: electronic structure, electrical, magnetic and optical properties
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00355-6

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

Theory of suppressed shot noise at $\nu=2/(2p\pm 1)$

K.-I. Imura 1 and K. Nomura 2

1 Department of Applied Physics, University of Tokyo
Hongo 7-3-1, Tokyo 113-8656, Japan
2 Institute of Physics, University of Tokyo
Komaba 3-8-1, Tokyo 153-8902, Japan

(received 1 March 1999; accepted in final form 29 April 1999)

PACS. 72.10${\rm -d}$ - Theory of electronic transport; scattering mechanisms.
PACS. 73.20Dx - Electron states in low-dimensional structures (superlattices, quantum well structures and multilayers).
PACS. 73.40Hm - Quantum Hall effect (integer and fractional).


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 $S_{I}=2q \langle I_{\rm b} \rangle$ 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 construction is also discussed to explain the suppressed shot noise experiment at bulk filling factor $\nu=2/3$.


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