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arXiv:2008.03177 [cond-mat.mes-hall]AbstractReferencesReviewsResources

Semiconductor-Bloch Formalism: Derivation and Application to High-Harmonic Generation from Dirac Fermions

Jan Wilhelm, Patrick Grössing, Jack Crewse, Maximilian Nitsch, Leonard Weigl, Christoph Schmid, Ferdinand Evers

Published 2020-08-07Version 1

We rederive the semiconductor Bloch equations emphasizing the close link to the Berry connection. Our rigorous derivation reveals the existence of a third contribution to the (longitudinal) current in addition to the traditional intraband and polarization-related interband terms. The novel term becomes sizable in situations where the dipole-matrix elements are strongly wave-number dependent. We apply the formalism to high-harmonic generation for a Dirac metal. The novel term adds to the frequency-dependent emission intensity (high-harmonic spectrum) significantly at certain frequencies reaching up to 90% of the total signal.

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