Appearance of fractional charge in the noise of non-chiral Luttinger liquids

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 noise and backscattered current crucially depends on the noise frequency $\omega$ 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 at the contacts, so that the frequency dependence of the noise needs to be analyzed to extract the fractional charge $e^{\ast }=eg$ of the bulk excitations.

arXiv comment4 pages, 2 figures, final version, to appear in PRL

References in corpus (17)

• Shot Noise in Mesoscopic Conductors
• Luttinger Liquid Behavior in Carbon Nanotubes
• Bosonization and Strongly Correlated Systems
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Detection of Quantum Noise from an Electrically-Driven Two-Level System
• Fractional excitations in the Luttinger liquid
• Interaction Constants and Dynamic Conductance of a Gated Wire
• A dynamic scattering approach for a gated interacting wire
• Interacting electrons with spin in a one-dimensional wire connected to leads
• Andreev reflection in the fractional quantum Hall effect
• Electroneutrality and the Friedel sum rule in a Luttinger liquid
• Oscillatory non-linear conductance of an interacting quantum wire with an impurity
• Coulomb drag shot noise in coupled Luttinger liquids

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