Theory of plasmonic effects in nonlinear optics: the case of graphene

Abstract

We develop a microscopic large-$N$ theory of electron-electron interaction corrections to multi-legged Feynman diagrams describing second- and third-order nonlinear response functions. Our theory, which reduces to the well-known random phase approximation in the linear-response limit, is completely general and is useful to understand all second- and third-order nonlinear effects, including harmonic generation, wave mixing, and photon drag. We apply our theoretical framework to the case of graphene, by carrying out microscopic calculations of the second- and third-order nonlinear response functions of an interacting two-dimensional (2D) gas of massless Dirac fermions. We compare our results with recent measurements, where all-optical launching of graphene plasmons has been achieved by virtue of the finiteness of the quasi-homogeneous second-order nonlinear response of this inversion-symmetric 2D material.

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Cited by in corpus (24)

• Giant enhancement of third-harmonic generation in graphene-metal heterostructures
• Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
• Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
• Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics
• Nonlinear optical selection rules of excitons in monolayer transition metal dichalcogenides
• Cyclotron resonance overtones and near-field magnetoabsorption via terahertz Bernstein modes in graphene
• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Quantized Nonlinear Conductance in Ballistic Metals
• Gauge invariance and Ward identities in nonlinear response theory
• Nonlinear Density Response and Higher Order Correlation Functions in Warm Dense Matter
• Analysis of dynamical effects in the uniform electron liquids with the self-consistent method of moments complemented by the Shannon information entropy and the path-integral Monte-Carlo simulations
• High-harmonic generation enhancement with graphene heterostructures
• Dominant Role of Two-Photon Vertex in Nonlinear Response of Dirac Materials
• Graphene as a source of entangled plasmons
• Tunable plasmon-enhanced second-order optical nonlinearity in transition metal dichalcogenide nanotriangles
• Many-Body Effects in Third Harmonic Generation of Graphene
• Local Ward identities for collective excitations in fermionic systems with spontaneously broken symmetries
• Non-linear responses and three-particle correlators in correlated electron systems exemplified by the Anderson impurity model
• Spatio-temporal Modulation Instability of Surface Plasmon Polaritons in Graphene-dielectric Heterostructure
• Second-order optical response of superconductors induced by supercurrent injection
• Third harmonic generation of undoped graphene in Hartree-Fock approximation
• Plasmonic drag photocurrent in graphene at extreme nonlocality
• Plasmon polariton assisted second-harmonic generation in graphene
• Strongly nonlinear Bernstein modes in graphene reveal plasmon-enhanced near-field magnetoabsorption