PMID: 15245245Jul 13, 2004Paper

Appearance of fractional charge in the noise of nonchiral Luttinger liquids

Physical Review Letters
Björn TrauzettelHermann Grabert

Abstract

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in the presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the ratio between noise and backscattered current crucially depends on the noise frequency omega relative to the ballistic frequency vF/gL, where vF is the Fermi velocity, g is the Luttinger liquid interaction parameter, and L is the length of the wire. In contrast to chiral Luttinger liquids the noise is not only due to the Poissonian backscattering of fractionally charged quasiparticles at the impurity, but it also depends on Andreev-type reflections at the contacts, so that the frequency dependence of the noise needs to be analyzed to extract the fractional charge e*=eg of the bulk excitations.

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Citations

Feb 21, 2006·Physical Review Letters·F W J Hekking, J P Pekola
Jan 28, 2015·Nature Communications·Y JompolD C Glattli
Aug 8, 2009·Physical Review Letters·E BergF von Oppen
Jul 13, 2019·Physical Review Letters·Jukka I VäyrynenYuval Gefen
Feb 7, 2013·Physical Review Letters·Wade DeGottardiSmitha Vishveshwara
May 21, 2005·Physical Review Letters·D E FeldmanV M Vinokur
Mar 5, 2009·Physical Review Letters·Jaeuk U KimH-S Sim
Oct 13, 2007·Physical Review Letters·A ZazunovT Martin
Nov 13, 2007·Physical Review Letters·F WuP J Hakonen
Sep 4, 2008·Physical Review Letters·Björn TrauzettelDaniel Loss
Jan 15, 2011·Physical Review Letters·D B GutmanA D Mirlin
Oct 15, 2013·Physical Review Letters·Mirco Milletarì, Bernd Rosenow

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