# Conduction properties of extended defect states in Dirac materials

## TL;DR

This paper investigates localized defect states in graphene, revealing insulating and conducting states with unique properties like flat bands and momentum-valley locking, which impact the understanding of correlated phases.

## Contribution

It introduces the existence of localized defect states with distinct insulating and conducting behaviors, highlighting their properties and implications for graphene physics.

## Key findings

- Localized states near linear defects can be insulating or conducting.
- Conducting states show momentum-valley locking and backscattering protection.
- Flat bands are associated with insulating defect states.

## Abstract

We demonstrate the existence of localized states in close vicinity of a linear defect in graphene. These states have insulating or conducting character. Insulating states form a flat band, while conducting states present a slowdown of the group velocity which is not originated by many-body interactions and it is controlled by the interface properties. For appropriate boundary conditions, the conducting states exhibit momentum-valley locking and protection from backscattering effects. These findings provide a contribution to the recent discussion on the origin of correlated phases in graphene.