Submergence of the Sidebands in the Photon-assisted Tunneling through a Quantum Dot Weakly Coupled to Luttinger Liquid Leads

TL;DR

This paper theoretically investigates how interactions in Luttinger liquid leads influence photon-assisted tunneling through a quantum dot, revealing suppression and merging of sidebands and a dominant central conductance peak.

Contribution

It introduces a detailed analysis of photon-assisted tunneling in quantum dots with Luttinger liquid leads, highlighting the impact of electron interactions on conductance features.

Findings

Sidebands become blurred for 1/2<g<1 and merge into a single peak for g<1/2.

Strong Coulomb interactions suppress sidebands, resulting in a single conductance peak.

The quenching of the central peak observed in Fermi liquids does not occur for g<1/2.

Abstract

We study theoretically the photon-assisted tunneling through a quantum dot weakly coupled to Luttinger liquids (LL) leads, and find that the zero bias dc conductance is strongly affected by the interactions in the LL leads. In comparison with the system with Fermi liquid (FL) leads, the sideband peaks of the dc conductance become blurring for 1/2<g<1, and finally merge into the central peak for g<1/2, (g is the interaction parameter in the LL leads). The sidebands are suppressed for LL leads with Coulomb interactions strong enough, and the conductance always appears as a single peak for any strength and frequency of the external time-dependent field. Furthermore, the quenching effect of the central peak for the FL case does not exist for g<1/2.