Nonperturbative Topological Current in Weyl and Dirac Semimetals in Laser Fields

Abstract

We study non-perturbatively the anomalous Hall current and its high harmonics generated in Weyl and Dirac semimetals by strong elliptically polarized laser fields, in the context of kinetic theory. We find a novel crossover between perturbative and non-perturbative regimes characterized by the electric field strength ${\mathcal{E}}^{\ast }=\frac{\mu \omega }{2e{v}_F}$ ($\omega$: laser frequency, $\mu$: Fermi energy, $v_F$: Fermi velocity). In the perturbative regime, the anomalous Hall current quadratically depends on the field strength ($\mathcal{E}$), whereas the higher order corrections, as well as high harmonics, vanish at zero temperature. In the non-perturbative regime, the anomalous Hall current saturates and decays as $(\log \mathcal{E})/\mathcal{E}$, while even-order high harmonics are generated when inplane rotational symmetry is broken. Based on the analytical solution of the Boltzmann equation, we reveal the topological origin of the sharp crossover: the Weyl monopole stays inside or moves outside of the Fermi sphere, respectively, during its fictitious motion in the pertubative or non-pertubative regimes. Our findings establish a new non-linear response intrinsically connected to topology, characteristic to Weyl and Dirac semimetals.

6 pages, 4 figures

References in corpus (10)

• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
• Photocurrents in Weyl semimetals
• Lorentz Invariance in Chiral Kinetic Theory
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Optical bistability of graphene in the terahertz range
• Non-perturbative high-harmonic generation in the three-dimensional Dirac semimetal Cd${}_3$As${}_2$
• Emergent Electromagnetic Induction and Adiabatic Charge Pumping in Weyl Semimetals
• Semiclassical theory of the circular photogalvanic effect in gyrotropic systems
• Magnetic field-Induced Nonlinear Optical Responses in Inversion Symmetric Dirac Semimetals

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