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

2005/05/23 by Bjorn Trauzettel, B. Trauzettel, Ines Safi +5
Physics and Astronomy · #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #Topological Materials and Phenomena #cond-mat.mtrl-sci #cond-mat.str-el

paper · pdf · doi:10.1117/12.609352

published as Fluctuations and Noise in Materials II, edited by P. Svedlindh, D. Popovic, and M.B.Weissmann, Proceedings of SPIE Vol. 5843 (SPIE, Bellingham, WA, 2005) · 9 pages, 4 figures, conference proceedings of Fluctuations and Noise 2005, Austin, Texas

openalex publication_date 2005/05/23 · arxiv created 2005/05/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

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<sub>F</sub>/gL, where v<sub>F</sub> 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.

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