Resonant second harmonic generation in a two-dimensional electron system

Abstract

We consider the nonlinear response of a disordered two-dimensional electronic system, lacking inversion symmetry, to an external alternating electric field. The application of an in-plane static magnetic field induces local contributions to the current density that are quadratic in the electric field and linear in the magnetic field. This current oscillates at twice the frequency of the external irradiation and there are two linearly independent vector combinations that contribute to the current density. This particular mechanism coexists with the topological Berry-dipole contribution to the second harmonic of the current density, which can be generated by quantum confinement. Additional nonlocal terms in the current density are possible in the regime away from the normal incidence. The total current exhibits a nonreciprocal character upon reversal of the magnetic field direction. We evaluate the magnitude of this effect by computing its dependence on the strength of spin-orbit coupling and the disorder scattering rate. Importantly, we show that these local second-harmonic contributions can be resonantly excited when the frequency of the external radiation approaches the energy separation between the spin-orbit split bands.

10 pages, 3 figures

References in corpus (19)

• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Electrodynamics of Correlated Electron Materials
• Quantized circular photogalvanic effect in Weyl semimetals
• Topological nature of nonlinear optical effects in solids
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
• Keldysh technique and non-linear sigma-model: basic principles and applications
• Confinement-induced Berry phase and helicity-dependent photocurrents
• Resonance-enhanced optical nonlinearity in the Weyl semimetal TaAs
• Photogalvanic effect in Weyl semimetals
• Gyrotropic Hall effect in Berry-curved materials
• Small-angle impurity scattering and the spin Hall conductivity in 2D systems
• Inverse Faraday Effect for Superconducting Condensates
• Revealing novel aspects of light-matter coupling in terahertz two-dimensional coherent spectroscopy: the case of the amplitude mode in superconductors
• Microwave-induced inverse Faraday effect in superconductors
• Quantum kinetics of anomalous and nonlinear Hall effects in topological semimetals
• Spin-orbit coupling induced ultra-high harmonic generation from magnetic dynamics
• Second harmonic generation at the edge of a two-dimensional electron gas
• Spin Hall conductivity of interacting two-dimensional electron systems