# Signature of curved QFT effects on the optical properties of deformed graphene: Curved QFT effects on the optical properties of deformed graphene

## TL;DR

This paper uses curved space quantum field theory to analyze how deformations in graphene affect its optical transmittance, aligning theoretical predictions with experimental observations of ripple and strain effects.

## Contribution

It demonstrates that curved space QFT effectively explains optical transmittance variations in deformed graphene, including ripple and strain effects, providing a novel theoretical framework.

## Key findings

- Ripple deformations explain observed transmittance patterns.
- Strain modifies the polarization dependence of transmittance.
- QFT in curved space accurately models optical properties of deformed graphene.

## Abstract

The Dirac equation in curved space is used to study the optical transmittance of deformed graphene along a given direction. Our theoretical analysis of the available experimental data for the light transmittance suggests that the periodic ripple associated with the out-of-plane deformation observed in unstrained graphene explains the observations. Furthermore, the experimental uniaxial strained graphene for light transmittance show two features, namely the modification of the $\cos^2\theta$ law and the decrease of the amplitude of the oscillations with the polarization angle $\theta$, which can be well accommodated within the theoretical analysis used here and provide further evidence of the validity of using QFT in curved space to understand two dimensional materials.