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

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arxiv 2008.03177 v3 pith:E74KIVPL submitted 2020-08-07 cond-mat.mes-hall physics.optics

Jan Wilhelm , Patrick Grössing , Adrian Seith , Jack Crewse , Maximilian Nitsch , Leonard Weigl , Christoph Schmid , Ferdinand Evers This is my paper · ORCID
classification cond-mat.mes-hallphysics.optics
keywords high-harmoniccontributionsderivationdiracextraformalismgenerationterms
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We rederive the semiconductor Bloch equations emphasizing the close link to the Berry connection. Our rigorous derivation reveals the existence of two further contributions to the current, in addition to the frequently considered intraband and polarization-related interband terms. The extra contributions become sizable in situations with strong dephasing or when the dipole-matrix elements are strongly wave-number dependent. We apply the formalism to high-harmonic generation for a Dirac metal. The extra terms add to the frequency-dependent emission intensity (high-harmonic spectrum) significantly at certain frequencies changing the total signal up to a factor of 10.

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