Resonant tunnelling in interacting 1D systems with an AC modulated gate

TL;DR

This paper investigates the transport properties of a system with two interacting 1D wires connected to a periodically modulated fermionic site, revealing complex conductance behavior influenced by frequency and temperature.

Contribution

It provides an exact analytical and numerical analysis of the conductance in an interacting 1D system with AC modulation, highlighting novel temperature and frequency-dependent phenomena.

Findings

Conductance exhibits rich behavior depending on system parameters.

An intermediate temperature regime at low frequencies shows conductance proportional to the line width.

Saturation of conductance occurs at a non-universal frequency-dependent value.

Abstract

We present an analysis of transport properties of a system consisting of two half-infinite interacting one-dimensional wires connected to a single fermionic site, the energy of which is subject to a periodic time modulation. Using the properties of the exactly solvable Toulouse point we derive an integral equation for the localised level Keldysh Green's function which governs the behaviour of the linear conductance. We investigate this equation numerically and analytically in various limits. The period-averaged conductance G displays a surprisingly rich behaviour depending on the parameters of the system. The most prominent feature is the emergence of an intermediate temperature regime at low frequencies, where G is proportional to the line width of the respective static conductance saturating at a non-universal frequency dependent value at lower temperatures.