# Soliton fractional charge of disordered graphene nanoribbon

## TL;DR

This paper studies the topological and electronic properties of disordered zigzag graphene nanoribbons, revealing fractional charge states and spin-split gap-edge states, advancing understanding of topological phenomena in 2D materials.

## Contribution

It demonstrates the existence of quantized fractional charges and topological kinks in disordered graphene nanoribbons, a novel insight into their electronic structure.

## Key findings

- Midgap states can have fractional charge of 1/2.
- Gap-edge states are represented by topological kinks.
- Presence of spin-split gap-edge states similar to Mott-Anderson insulators.

## Abstract

We investigate the properties of the gap-edge states of half-filled interacting disordered zigzag graphene nanoribbons. We find that the midgap states can display the quantized fractional charge of 1/2. These gap-edge states can be represented by topological kinks with their site probability distribution divided between the opposite zigzag edges with different chiralities. In addition, there are numerous spin-split gap-edge states, similar to those in a Mott-Anderson insulator.