Fractional charge in the noise of Luttinger liquid systems

Bjorn Trauzettel; Ines Safi; Fabrizio Dolcini; Hermann Grabert

doi:10.1117/12.609352

23 May 2005 Fractional charge in the noise of Luttinger liquid systems (Invited Paper)

Bjorn Trauzettel, Ines Safi, Fabrizio Dolcini, Hermann Grabert

Proceedings Volume 5843, Fluctuations and Noise in Materials II; (2005) https://doi.org/10.1117/12.609352
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the ratio between shot noise and backscattering current crucially depends on the noise frequency relative to the ballistic frequency v_F/gL, where v_F is the Fermi velocity, g the Luttinger liquid interaction parameter, and L 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 also depends on Andreev-type reflections of plasmons at the contacts, so that the frequency dependence of the noise needs to be analyzed to extract the fractional charge of the bulk excitations. We show that the frequencies needed to see interaction effects in the Fano factor are within experimental reach.

Citation Download Citation

Bjorn Trauzettel, Ines Safi, Fabrizio Dolcini, and Hermann Grabert "Fractional charge in the noise of Luttinger liquid systems (Invited Paper)", Proc. SPIE 5843, Fluctuations and Noise in Materials II, (23 May 2005); https://doi.org/10.1117/12.609352

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KEYWORDS

Backscatter

Liquids

Lead

Quasiparticles

Plasmons

Carbon nanotubes

Physics

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