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

References in corpus (9)

• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• The Luttinger model following a sudden interaction switch-on
• Spin-charge separation and localization in one-dimension
• Quantum quench dynamics of the Luttinger model
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Exploring local quantum many-body relaxation by atoms in optical superlattices
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• Charge transport in a Tomonaga-Luttinger liquid: effects of pumping and bias
• Transport properties of a Luttinger liquid in the presence of several time-dependent impurities