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We studied that the current noise exhibited long wave length spatial oscillations, which depend on the noise frequency, the Fermi velocity, distance between the point of measurement and the impurity in the quantum wire. We have explained non interacting systems with linear dispersion, where the origin of the spatial oscillations were easily seen. These noise oscillations were affects by band curvature and Coulomb interaction. A finite band curvature calculation shows that the spatial oscillations decay away from the impurity site and show a beating behaviour. Coulomb interaction have been taken into account by describing the quantum wire as a Luttinger liquid, suppresses the amplitude of the noise oscillations.
Current noise, Fermi velocity, Quantum wire, Spatial oscillation