Transient effects in the backscattered current of a Luttinger liquid

Abstract

We study the backscattered current in a Luttinger liquid in the presence of a point like weak impurity switched on at finite time, taking into account finite-temperature effects. We show how the well-known results for a static impurity are distorted. We derive a dimensionless parameter ${\tau }_R$ as function of the electron-electron interaction and the temperature, such that for ${\tau }_R<1$ ($>1$) the switching process is relevant (irrelevant). Our results suggest the possibility of determining the value of the Luttinger parameter $K$ through time measurements in transport experiments at fixed voltage.

8 pages, 3 figures. To appear in Physical Review B

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Cited by in corpus (6)

• Correlation induced memory effects in the transport properties of low dimensional systems
• Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
• Unified time-dependent perturbative relations applied to spectroscopy through photo-drag current
• Transient and Sharvin resistances of Luttinger liquids
• Transient and finite size effects in transport properties of a quantum wire
• Pumping current of a Luttinger liquid with finite length