Abstract

Nonlinear transport and optical phenomena, such as charge and spin photogalvanic effects and high-harmonic generation, are of significant interest in condensed matter physics due to their applications in photodetection, optospintronics, and nanoscale imaging of quantum materials. Understanding low-frequency nonlinear photocurrents provides a means to probe and leverage quantum geometry and many-body effects in crystalline materials. In this talk, I will review both old and recent results in nonlinear transport and optics in two-dimensional layered materials, including many-body renormalization of nonlinear optical responses in graphene and the nonlinear Hall effect. I will particularly focus on nonlinear photo-thermoelectric effects and magneto-transport in 2D Fermi liquids, highlighting their role in probing the long-lived dynamics of odd-parity Fermi liquid modes in the hydrodynamic (tomographic) regime.