Second harmonic generation at the edge of a two-dimensional electron gas

Abstract

We show that driving a two-dimensional electron gas by an in-plane electric field oscillating at the frequency $\omega$ gives rise to an electric current at $2\omega$ flowing near the edge of the system. This current has both parallel and perpendicular to the edge components, which emit electromagnetic waves at $2\omega$ with different polarizations. We develop a microscopic theory of such an edge second harmonic generation and calculate the edge current at $2\omega$ in different regimes of electron transport and electric field screening. We also show that at high frequencies the spatial profile of the edge current contains oscillations caused by excitation of plasma waves.

arXiv comment8 pages, 6 figures

References in corpus (27)

• Strong nonlinear optical response of graphene flakes measured by four-wave mixing
• Non-linear Optical Spectroscopy of Excited Exciton States for Efficient Valley Coherence Generation in WSe2 Monolayers
• High frequency electric field induced nonlinear effects in graphene (review)
• Theory of the giant plasmon enhanced second harmonic generation in graphene and semiconductor two-dimensional electron systems
• Terahertz radiation driven chiral edge currents in graphene
• Second harmonic generation in multilayer graphene induced by direct electric current
• Giant enhancement of third-harmonic generation in graphene-metal heterostructures
• Second Harmonic Generation in Graphene
• Doping Induced Second Harmonic Generation in Centrosymmetric Graphene from Quadrupole Response
• Microwave response of a two-dimensional electron stripe
• Symmetry regimes for circular photocurrents in monolayer MoSe2
• Second-order nonlinear optical response of graphene
• Valley polarization induced second harmonic generation in graphene
• Direct current driven by ac electric field in quantum wells
• Probing of valley polarization in graphene via optical second-harmonic generation
• Interaction of gated and ungated plasmons in two-dimensional electron systems
• Developments in THz range ellipsometry
• Measuring valley polarization in two-dimensional materials with second-harmonic spectroscopy
• High-frequency nonlinear transport and photogalvanic effects in two-dimensional topological insulators
• Edge photocurrent driven by THz electric field in bi-layer graphene
• Edge photogalvanic effect caused by optical alignment of carrier momenta in 2D Dirac materials
• Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
• Nonlinear optical study of commensurability effects in graphene-hBN heterostructures
• Nonlinear intensity dependence of terahertz edge photocurrents in graphene
• Edge photocurrent in bilayer graphene due to inter-Landau-level transitions
• Ratchet transport of a two-dimensional electron gas at cyclotron resonance
• Effect of retardation on the frequency and linewidth of plasma resonances in a two-dimensional disk of electron gas

Cited by in corpus (3)

• ac Hall Effect and Photon Drag of Superconducting Condensate
• Second harmonic generation due to spatial structure of radiation beam
• Resonant second harmonic generation in a two-dimensional electron system