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Proceedings Paper

Fractional charge in the noise of Luttinger liquid systems
Author(s): Bjorn Trauzettel; Ines Safi; Fabrizio Dolcini; Hermann Grabert
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Paper 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 vF/gL, where vF 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.

Paper Details

Date Published: 23 May 2005
PDF: 9 pages
Proc. SPIE 5843, Fluctuations and Noise in Materials II, (23 May 2005); doi: 10.1117/12.609352
Show Author Affiliations
Bjorn Trauzettel, Univ. Leiden (Netherlands)
Ines Safi, Univ. Paris-Sud (France)
Fabrizio Dolcini, Albert-Ludwigs-Univ. Freiburg (Germany)
Hermann Grabert, Albert-Ludwigs-Univ. Freiburg (Germany)

Published in SPIE Proceedings Vol. 5843:
Fluctuations and Noise in Materials II
Peter Svedlindh; Dragana Popovic; Michael B. Weissman, Editor(s)

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