# Optical Conductivity in an effective model for Graphene: Finite temperature corrections

## TL;DR

This paper studies how temperature and chemical potential affect graphene's optical conductivity using a field theory model derived from a tight-binding approach, extending previous zero-temperature results.

## Contribution

It provides a generalized analysis of optical conductivity in graphene at finite temperature and chemical potential, including next-to-nearest neighbor effects.

## Key findings

- Reproduces the universal zero-frequency conductivity value
- Derives frequency-dependent conductivity at finite temperature
- Extends previous zero-temperature models to finite conditions

## Abstract

In this article, we investigate the temperature and chemical potential dependence of the optical conductivity of graphene, within a field theoretical representation in the continuum approximation, arising from an underlying tight-binding atomistic model, that includes up to next-to-nearest neighbor coupling. Our calculations allow us to obtain the dependence of the optical conductivity on frequency, temperature and finite chemical potential, generalizing our previously reported calculations at zero temperature, and reproducing the universal and experimentally verified value at zero frequency.