Interplay of Coulomb blockade and Aharonov-Bohm resonances in a Luttinger liquid

TL;DR

This paper investigates how Coulomb blockade and Aharonov-Bohm effects influence electron transport in a strongly interacting Luttinger liquid ring, revealing how device geometry and interactions affect conductance resonances.

Contribution

It provides a method to determine the interaction parameter g from conductance measurements and analyzes the impact of device geometry on conductance in a finite ring.

Findings

Interaction parameter g can be experimentally determined from conductance resonances.

Close tunnel junctions suppress orthogonality catastrophe, increasing valley current.

Device geometry significantly influences conductance behavior in the system.

Abstract

We consider a ring of strongly interacting electrons connected to two external leads by tunnel junctions. By studying the positions of conductance resonances as a function of gate voltage and magnetic flux the interaction parameter $g$ can be determined experimentally. For a finite ring the minimum conductance is strongly influenced by device geometry and electron-electron interactions. In particular, if the tunnel junctions are close to one another the interaction-related orthogonality catastrophe is suppressed and the valley current is unexpectedly large.