Excitonic effects in third harmonic generation: the case of carbon nanotubes and nanoribbons

Abstract

Linear and nonlinear optical properties of low dimensional nanostructures have attracted a large interest in the scientific community as tools to probe the strong confinement of the electrons and for possible applications in optoelectronic devices. In particular it has been shown that the linear optical response of carbon nanotubes [Science 308, 838 (2005)] and graphene nanoribbons [Nat. Comm. 5, 4253 (2014)] is dominated by bounded electron-hole pairs, the excitons. The role of excitons in linear response has been widely studied, but still little is known on their effect on nonlinear susceptibilities. Using a recently developed methodology [Phys. Rev. B 88, 235113 (2013)] based on well-established ab-initio many-body perturbation theory approaches, we find that quasiparticle shifts and excitonic effects significantly modify the third-harmonic generation in carbon nanotubes and graphene nanoribbons. For both systems the net effect of many-body effects is to reduce the intensity of the main peak in the independent particle spectrum and redistribute the spectral weight among several excitonic resonances.

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Cited by in corpus (9)

• Many-body perturbation theory calculations using the yambo code
• Topologically localized excitons in single graphene nanoribbons
• Semiconductor-Bloch Formalism: Derivation and Application to High-Harmonic Generation from Dirac Fermions
• Gauge invariance of excitonic linear and nonlinear optical response
• Exciton-driven giant non-linear overtone signals from buckled hexagonal monolayer GaAs
• Electric field induced injection and shift currents in zigzag graphene nanoribbons
• Plasmons in phosphorene nanoribbons
• Excitonic effect on two-photon absorption of two-dimensional semiconductors: Theory and applications to MoS2 and WS2 monolayers
• Floquet formulation of the dynamical Berry-phase approach to non-linear optics in extended systems