Current fluctuations in an ideally conducting contact

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Abstract
It is shown that the shot noise at finite frequency in an ideally conducting contact is finite. The complete formula for the current correlation function at finite frequency is presented for a quantum conductor, where the electron transport can be adequately described in a model of noninteracting electrons using a scattering matrix. It is indicated that the description of electron transport in Landauer’s approach (using a scattering matrix) is equivalent to a description using the Keldysh technique. Noise in an ideally conducting contact is calculated using the general formula. It is shown that in such a contact the spectral density of the noise has a singularity at the “Josephson” frequency ω=eV/ℏ, set by the voltage.