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arXiv · 1002.3121

Transient effects in the backscattered current of a Luttinger liquid

Mariano J. Salvay·Hugo A. Aita·Carlos M. Naón
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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 $τ_{R}$ as function of the electron-electron interaction and the temperature, such that for $τ_{R} < 1$ ($> 1$) 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.

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Mariano J. Salvay, Hugo A. Aita, Carlos M. Naón. 2010-02-16. Transient effects in the backscattered current of a Luttinger liquid. https://doi.org/10.1103/physrevb.81.125406

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