Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene

Abstract

We model the magnetic ratchet effect in bilayer graphene in which a dc electric current is produced by an ac electric field of frequency $\omega$ in the presence of a steady in-plane magnetic field and inversion-symmetry breaking. In bilayer graphene, the ratchet effect is tunable by an external metallic gate which breaks inversion symmetry. For zero in-plane magnetic field, we show that trigonal warping and inversion-symmetry breaking are able to produce a large dc valley current, but not a non-zero total dc charge current. For the magnetic ratchet in a tilted magnetic field, the perpendicular field component induces cyclotron motion with frequency ${\omega }_c$ and we find that the dc current displays cyclotron resonance at ${\omega }_c=\omega$, although this peak in the current is actually smaller than its value at ${\omega }_c=0$. Second harmonic generation, however, is greatly enhanced by resonances at ${\omega }_c=\omega$ and ${\omega }_c=2\omega$ for which the current is generally much larger than at ${\omega }_c=0$.

13 pages, 2 figures, added section about valley currents

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Cited by in corpus (11)

• 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
• Beatings of ratchet current magneto-oscillations in GaN-based grating gate structures: manifestation of spin-orbit band splitting
• Edge currents driven by terahertz radiation in graphene in quantum Hall regime
• Photovoltaic Hall effect in two-dimensional electron gas: Kinetic theory
• In-plane magnetoelectric response in bilayer graphene
• Second harmonic generation at the edge of a two-dimensional electron gas
• Current induced by a tilted magnetic field in phosphorene under terahertz laser radiation
• Magnetic ratchet effect in phosphorene
• Solitons induced by an in-plane magnetic field in rhombohedral multilayer graphene
• General solution for the response of materials under radiation and tilted magnetic field: semi-classical regime