# Optical conductivity in graphene: hydrodynamic regime

## TL;DR

This paper provides a comprehensive theoretical analysis of the optical conductivity in graphene across various doping levels, temperatures, and magnetic fields, aligning well with recent experimental findings and advancing understanding of electron fluid hydrodynamics.

## Contribution

It offers the first detailed theoretical calculation of optical conductivity in graphene covering all doping levels, temperature ranges, and magnetic fields within the hydrodynamic regime.

## Key findings

- Theoretical results match experimental data well.
- Optical conductivity behavior is characterized across different regimes.
- Insights into scattering processes in electronic fluids are provided.

## Abstract

Experimental investigation of hydrodynamics in electron fluids is a highly topical research area that emerged during the last few years. A recent measurement of the optical conductivity in graphene [P. Gallagher et.al, Science 364, 158 (2019)] offers a possibility of experimental determination of microscopic time scales describing scattering processes in the electronic fluid. In this paper, I report a theoretical calculation of the optical conductivity in graphene at arbitrary doping levels, within the whole "hydrodynamic" temperature range, and for arbitrary, non-quantizing magnetic fields. The obtained results are in good agreement with the available experimental data.