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We address the problem of a Luttinger liquid with a scatterer that allows forboth coherent and incoherent scattering channels. The asymptotic behavior atzero temperature is governed by a new stable fixed point: a Goldstone modedominates the low energy dynamics, leading to a universal behavior. This limitis marked by equal probabilities for forward and backward scattering.Notwithstanding this non-trivial scattering pattern, we find that the shotnoise as well as zero cross-current correlations vanish. We thus present aparadigmatic picture of an impurity in the Luttinger model, alternative to theKane-Fisher picture.

Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit