Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire

TL;DR

This paper investigates the dynamics of 1D electron transport in inhomogeneous Tomonaga-Luttinger Liquids, predicting unique features in current noise and AC response that can help identify experimental setups matching the model.

Contribution

It introduces new theoretical predictions on charge wave reflection effects and transport behavior at microwave frequencies in inhomogeneous TLLs.

Findings

Predicted new features in current noise spectrum.

Identified unique AC current-frequency dependence.

Highlighted potential for experimental identification of ITLL behavior.

Abstract

Dynamics of the 1D electron transport between two reservoirs are studied based on the inhomogeneous Tomonaga- Luttinger Liquid (ITLL) model in the case when the effect of the electron backscattering on the impurities is negligible. The inhomogeneities of the interaction lead to a charge wave reflection. This effect supposes a special behavior of the transport characteristics at the microwave frequencies. New features are predicted in the current noise spectrum and in the a.c. current- frequency dependence. Knowledge of them may be very useful to identify experimental setup with the one specified by the ITLL model.