Scaling laws for nonlinear electromagnetic responses of Dirac fermions

Abstract

We theoretically propose that the Dirac fermion in two-dimensions shows the giant nonlinear responses to electromagnetic fields in terahertz region. A scaling form is obtained for the current and magnetization as functions of the normalized electromagnetic fields $E/E_{\omega }$ and $B/B_{\omega }$, where the characteristic electric (magnetic) field $E_{\omega }$ ($B_{\omega }$) depends on the frequency $\omega$ as $\hslash {\omega }^2/e{v}_F$ ($\hslash {\omega }^2/e{v}_F^2$), and is typically of the order of 80 V/cm ( 8 mT) in the terahertz region. Applications of the present theory to graphene and surface state of a topological insulator are discussed.

9 pages, 3 figures

References in corpus (9)

• The electronic properties of graphene
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Non-linear electromagnetic response of graphene
• High frequency electric field induced nonlinear effects in graphene (review)
• Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
• Self-phase modulation of a single-cycle terahertz pulse by nonlinear free-carrier response in a semiconductor
• Quantum Theory of the Third-Harmonic Generation in Graphene

Cited by in corpus (7)

• Photocurrents in Weyl semimetals
• Experimental Progress on Layered Topological Semimetals
• Nonlinear Quantum Electrodynamics in Dirac materials
• Nonlinear magnetotransport in Weyl semimetal
• First-principles study of the terahertz third-order nonlinear response of metallic armchair graphene nanoribbons
• Nonlinear response in a non-centrosymmetric topological insulator
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity