# Third harmonic generation in gapped bilayer graphene

## TL;DR

This study uses numerical simulations to identify optimal conditions for third harmonic generation in gapped bilayer graphene, demonstrating its potential as an efficient medium for terahertz and infrared applications at room temperature.

## Contribution

The paper introduces a detailed numerical analysis of third harmonic generation in gapped bilayer graphene, highlighting optimal parameters for efficient emission in practical conditions.

## Key findings

- Optimal pump intensity, temperature, and energy gap for third harmonic emission identified.
- Gapped bilayer graphene can generate third harmonics effectively at room temperature.
- Potential for terahertz and far-infrared applications demonstrated.

## Abstract

With the help of numerical simulations in microscopic nonlinear quantum theory of coherent electromagnetic radiation interaction with a gapped bilayer graphene, we find out the optimal values of pump wave intensity, graphene temperature, and energy gap induced by a constant electric field for practically significant third order harmonic coherent emission. The Liouville-von Neumann equation is treated numerically for the third harmonic generation in multiphoton excitation regime near the Dirac points of the Brillouin zone. We examine the rates of the third harmonic at the particle-hole annihilation in the field of a strong pump wave of linear polarization for practically real/optimal parameters of a considering system. The obtained results show that by choosing the optimal values of the main characteristic parameters, a gapped bilayer graphene can serve as an effective medium for generation of the third harmonic at room temperatures in the terahertz and far infrared domains.