Effect of spin-orbit coupling on the high harmonics from the topological Dirac semimetal Na3Bi

(submitted), (2021)

Effect of spin-orbit coupling on the high harmonics from the topological Dirac semimetal Na3Bi

Nicolas Tancogne-Dejean, Florian G. Eich, Angel Rubio

In this work, we performed extensive first-principles simulations of high-harmonic generation in the topological Diract semimetal Na3Bi using a time-dependent density functional theory framework, focusing on the effect of spin-orbit coupling (SOC) on the harmonic response. We also derived a general analytical model describing the microscopic mechanism of strong-field dynamics in presence of spin-orbit coupling, starting from a locally U(1)xSU(2) gauge-invariant Hamiltonian. Our results reveal that SOC: (i) affects the strong-field ionization by modifying the bandstructure of Na3Bi, (ii) modifies the electron velocity, making each spin channel to react differently to the pump laser field, (iii) changes the emission timing of the emitted harmonics. Moreover, we show that the SOC affects the harmonic emission by directly coupling the charge current to the spin currents, paving the way to the high-harmonic spectroscopy of spin currents in solids.

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arxiv
http://arxiv.org/abs/2103.09322
Notes
This work was supported by the European Research Council (ERC-2015-AdG694097), the Cluster of Excel- lence `Advanced Imaging of Matter' (AIM), Grupos Con- solidados (IT1249-19) and SFB925. The Flatiron Insti- tute is a division of the Simons Foundation.

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