Dominant Role of Two-Photon Vertex in Nonlinear Response of Dirac Materials

Abstract

Using a conserving Baym-Kadanoff approach, we present a fully compelling theory of nonlinear dc response of a Dirac system to electric fields in the presence of disorder scattering. We show that the nonlinear terms are strikingly ruled by the appearance of a dominant two-photon vertex which is absent at the bare level and finite even in the weak-coupling limit. Such two-photon vertex self-generation highlights the crucial role of the frequency and field dependence of the scattering rates in the nonlinear regime. Our study reveals a novel many-body mechanism in the nonlinear response of Dirac materials whose effects are predicted to be observable.

7+18 pages; 3+6 figures

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• Second-order optical response of superconductors induced by supercurrent injection
• Proximity-induced nonlinear magnetoresistances on topological insulators
• Giant Shear Displacement by Light-Induced Raman Force in Bilayer Graphene
• Vertex correction for the linear and nonlinear optical responses in superconductors: multiband effect and topological superconductivity