Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit

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.

published version, 4 + epsilon pages, 1 figure

References in corpus (5)

• Junctions of anyonic Luttinger wires
• Y-junction of superconducting Josephson chains
• Enhancement of tunneling density of states at a junction of three Luttinger liquid wires
• Gate-Defined Graphene Quantum Point Contact in the Quantum Hall Regime
• Frustration of decoherence in $Y$-shaped superconducting Josephson networks

Cited by in corpus (9)

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• Transport properties of the Coulomb-Majorana junction
• Parafermionic generalization of the topological Kondo effect
• Tunneling into a finite Luttinger liquid coupled to noisy capacitive leads
• Keldysh functional renormalization group for electronic properties of graphene
• Intermediate fixed point in a Luttinger liquid with elastic and dissipative backscattering
• A Luttinger Liquid coupled to Ohmic-class environments
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Enhancement in tunneling density of states in Luttinger liquid -- role of non-local interaction