Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit

Details Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit

2011-04-15

arxiv.org/abs/1104.3125v2

Phys. Rev. Lett. 108, 136401 (2012)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

published version, 4 + epsilon pages, 1 figure

Scientific paper

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

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