Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene

TL;DR

This paper demonstrates that magnetic waveguides in graphene, formed by snake states, realize a Tomonaga-Luttinger liquid with tunable non-Fermi liquid properties, resilient to disorder due to spatial separation of states.

Contribution

It calculates the interaction parameters for graphene magnetic waveguides, showing non-Fermi liquid effects are significant and tunable in realistic geometries.

Findings

Snake states form a Tomonaga-Luttinger liquid in graphene.

Non-Fermi liquid effects are robust against disorder.

Interaction parameters are tunable by geometry.

Abstract

Electronic waveguides in graphene formed by counterpropagating snake states in suitable inhomogeneous magnetic fields are shown to constitute a realization of a Tomonaga-Luttinger liquid. Due to the spatial separation of the right- and left-moving snake states, this non-Fermi liquid state induced by electron-electron interactions is essentially unaffected by disorder. We calculate the interaction parameters accounting for the absence of Galilei invariance in this system, and thereby demonstrate that non-Fermi liquid effects are significant and tunable in realistic geometries.