# Stability of edge magnetism against disorder in zigzag MoS$_2$ nanoribbons

## TL;DR

This study uses tight-binding and Hubbard models to analyze how disorder affects the magnetic and electronic properties of zigzag MoS₂ nanoribbons, revealing their potential for spintronic applications.

## Contribution

It introduces a large-scale tight-binding approach with optimized parameters to study disorder effects on MoS₂ nanoribbons' magnetism, filling a gap left by computationally expensive ab-initio methods.

## Key findings

- Proper tight-binding parameters are essential for accurate metallic and magnetic properties.
- Spin domain-wall energy along edges is lower than in graphene nanoribbons.
- Edge disorder significantly influences magnetic properties.

## Abstract

Molybdenum disulfide nanoribbons with zigzag edges show ferromagnetic and metallic properties based on previous \emph{ab-initio} calculations. The investigation of the role of disorder on the magnetic properties is, however, still lacking due to the computational costs of these methods. In this work we fill this gap by studying the magnetic and electronic properties of several nanometer long MoS$_2$ zigzag nanoribbons using tight-binding and Hubbard Hamiltonians. Our results reveal that proper tight-binding parameters for the edge atoms are crucial to obtain quantitatively the metallic states and the magnetic properties of MoS$_2$ nanoribbons. With the help of the fine-tuned parameters, we perform large-scale calculations and predict the spin domain-wall energy along the edges, which is found to be significantly lower compared to that of the zigzag graphene nanoribbons. The tight-binding approach allows us to address the effect of edge disorder on the magnetic properties. Our results open the way for investigating electron-electron effects in realistic-size nanoribbon devices in MoS$_2$ and also provide valuable information for spintronic applications.