# On the density of states of circular graphene quantum dots

## TL;DR

This paper presents a straightforward method to compute the local density of states in axially symmetric graphene nanostructures, demonstrating excellent agreement with recent experimental measurements of circular graphene quantum dots.

## Contribution

It introduces a simple, effective approach for calculating the local density of states in axially symmetric graphene structures, applicable to quantum dots and rings.

## Key findings

- Method accurately reproduces experimental data
- Approach is applicable to various axially symmetric potentials
- Results show strong agreement with STM measurements

## Abstract

We suggest a simple approach to calculate the local density of states that effectively applies to any structure created by an axially symmetric potential on a continuous graphene sheet such as circular graphene quantum dots or rings. Calculations performed for the graphene quantum dot studied in a recent scanning tunneling microscopy measurement [{\sl Gutierrez et al. Nat. Phys. \textbf{12}, 1069--1075 (2016)}] show an excellent experimental-theoretical agreement.