Momentum Resolved tunneling in a Luttinger Liquid

TL;DR

This paper analyzes momentum-resolved tunneling between a Luttinger liquid and a 2D electron gas under magnetic field, highlighting six dispersing features as signatures of interactions and spin-charge separation.

Contribution

It introduces a detailed theoretical analysis of magneto-tunneling signatures in a Luttinger liquid, emphasizing the effects of anomalous exponent and Zeeman splitting.

Findings

Six dispersing features observed in magneto-tunneling

Features vary with anomalous exponent, strongest at γ_ρ=0

Provides experimental signature of spin-charge separation

Abstract

We consider momentum resolved tunneling between a Luttinger liquid and a two dimensional electron gas as a function of transverse magnetic field. We include the effects of an anomalous exponent and Zeeman splitting on both the Luttinger liquid and the two dimensional electron gas. We show that there are six dispersing features that should be observed in magneto-tunneling, in contrast with the four features that would be seen in a non-interacting one dimensional electron gas. The strength of these features varies with the anomalous exponent, being most pronounced when $\gamma_\rho=0$. We argue that this measurement provides an important experimental signature of spin-charge separation.