Comprehensive analysis of the optical Kerr coefficient of graphene

Abstract

We present a comprehensive analysis of the the nonlinear optical Kerr effect in graphene. We directly solve the S-matrix element to calculate the absorption rate, utilizing the Volkov-Keldysh- type crystal wave functions. We then convert to the nonlinear refractive index coefficients through the Kramers-Kronig relation. In this formalism, the source of Kerr nonlinearity is the interplay of optical fields that cooperatively drive the transition from valence to conduction band. This formalism makes it possible to identify and compute the rates of distinct nonlinear processes that contribute to the Kerr nonlinear refractive index coefficient. The four identified mechanisms are two photon absorption, Raman transition, self coupling, and quadratic AC Stark effect. We also present a comparison of our theory with recent experimental and theoretical results.

12 pages, 5 figures

References in corpus (8)

• The electronic properties of graphene
• Dynamical polarization of graphene at finite doping
• Universal dynamical conductance in graphite
• Observation of quantum state collapse and revival due to the single-photon Kerr effect
• Third harmonic generation in graphene and few-layer graphite films
• Optical Third-Harmonic Generation in Graphene
• Quantum Theory of the Third-Harmonic Generation in Graphene
• Current injection by coherent one- and two-photon excitation in graphene and its bilayer

Cited by in corpus (5)

• Experimental Characterization of Ultrafast, Tunable and Broadband Optical Kerr Nonlinearity in Graphene
• Optical nonlinearities of excitons in monolayer MoS2
• Nonlinear optics of graphene and other 2D materials in layered structures
• Low-Temperature Annihilation Rate for Quasi-Localized Excitons in Monolayer MoS2
• Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics