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.