Transient effects in the backscattered current of a Luttinger liquid

Details Transient effects in the backscattered current of a Luttinger liquid Transient effects in the backscattered current of a Luttinger liquid

2010-02-16

arxiv.org/abs/1002.3121v1

Phys. Rev. B 81, 125406 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.81.125406

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.

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