# On the density of states of graphene in the nearest-neighbor approximation

## TL;DR

This paper presents a new, unified analytical formula for the density of states in clean graphene using the nearest-neighbor approximation, simplifying previous expressions and covering the entire energy spectrum.

## Contribution

It introduces a single, comprehensive formula for graphene's density of states that improves upon previous fragmented expressions.

## Key findings

- The new formula is valid across the entire energy range.
- It matches previous expressions in their respective limits.
- The paper clarifies the relationship between the new and old formulas.

## Abstract

We propose an alternative analytical expression for the density of states of a clean graphene in the nearest-neighbor approximation. In contrast to the previously known expression, it can be written as a single formula valid for the whole energy range. The correspondence with the previously known expression is shown and the limiting cases are analyzed.