# Interplay of resonant states and Landau levels in functionalized graphene

## TL;DR

This paper investigates how resonant states caused by adatoms in functionalized graphene interact with Landau levels under magnetic fields, revealing localized currents and spectral features that influence electronic properties.

## Contribution

It provides a systematic tight-binding and analytical model of resonant states in graphene with magnetic fields, highlighting the impact of adatoms on Landau levels and local electronic structure.

## Key findings

- Resonant states modify Landau level structure near the Dirac point.
- Circulating local currents form around defects in magnetic fields.
- Local density of states reveals spectral features for different adatoms.

## Abstract

Adsorbates can drastically alter physical properties of graphene. Particularly important are adatoms and admolecules that induce resonances at the Dirac point. Such resonances limit electron mobilities and spin relaxation times. We present a systematic tight-binding as well as analytical modeling to investigate the properties of resonant states in the presence of a quantizing magnetic field. Landau levels are strongly influenced by the resonances, especially close to the Dirac point. Here the cyclotron motion of electrons around a defect leads to the formation of circulating local currents which are manifested by the appearance of side peaks around the zero-energy Landau level. Our study is based on realistic parameters for H, F, and Cu adatoms, each exhibiting distinct spectral features in the magnetic field. We also show that by observing a local density of states around an adatom in the presence of Landau levels useful microscopic model parameters can be extracted.