Experiments on the Fermi to Tomonaga-Luttinger liquid transition in quasi-1D systems

TL;DR

This paper experimentally investigates the transition from a Fermi liquid to a Tomonaga-Luttinger liquid in quasi-one-dimensional systems by tunneling measurements on 2DEG edges, revealing a universal behavior near the transition point.

Contribution

It provides experimental evidence of the Fermi to Tomonaga-Luttinger liquid transition in quasi-1D systems and identifies a universal curve describing this transition.

Findings

Observation of the breakdown of the Tomonaga-Luttinger liquid near ν=1

Recovery of a universal curve across different datasets

Experimental validation of theoretical models for 1D electron systems

Abstract

We present experimental results on the tunneling into the edge of a two dimensional electron gas (2DEG) obtained with GaAs/AlGaAs cleaved edge overgrown structures. The electronic properties of the edge of these systems can be described by a one-dimensional chiral Tomonaga-Luttinger liquid when the filling factor of the 2DEG is very small. Here we focus on the region where the Tomonaga-Luttinger liquid breaks down to form a standard Fermi liquid close to $\nu=1$ and show that we recover a universal curve, which describes all existing data.