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arXiv · 1104.3125

Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit

Alexander Altland·Yuval Gefen·Bernd Rosenow
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Abstract

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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Alexander Altland, Yuval Gefen, Bernd Rosenow. 2012-04-17. Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit. https://doi.org/10.1103/physrevlett.108.136401

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