Luttinger liquid behavior in tunneling through a quantum dot at zero magnetic field

TL;DR

This paper theoretically investigates Luttinger liquid behavior in a two-dimensional quantum dot's spectral and transport properties at zero magnetic field, supported by numerical analysis and discussing experimental implications.

Contribution

It predicts and verifies Luttinger liquid behavior in quantum dots with shell structures, a novel insight into their low-dimensional physics.

Findings

Spectral and transport properties show Luttinger liquid characteristics.

Numerical diagonalization confirms theoretical predictions.

Discusses potential experimental observations of these effects.

Abstract

Thermodynamic and transport properties of a two dimensional circular quantum dot are studied theoretically at zero magnetic field. In the limit of a large confining potential, where the dot spectrum exhibits a shell structure, it is argued that both spectral and transport properties should exhibit Luttinger liquid behavior. These predictions are verified by direct numerical diagonalization. The experimental implications of such Luttinger liquid characteristics are discussed.