Formation of the solid-state high-order harmonic generation plateau through destructive interference

Fuente: arXiv
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Autori principali: Bielke, Lina, Jürß, Hannah, Burgtorf, Vincent, Bauer, Dieter
Natura: Preprint
Pubblicazione: 2022
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author Bielke, Lina
Jürß, Hannah
Burgtorf, Vincent
Bauer, Dieter
author_facet Bielke, Lina
Jürß, Hannah
Burgtorf, Vincent
Bauer, Dieter
contents In frequently studied two-band models for solid-state high-harmonic generation, interband harmonics in principle can range from the minimum to the maximum bandgap. However, it is known that a laser-intensity dependent cutoff exists that may be well below the maximum bandgap unless the laser intensity is so high that the electrons explore the entire Brillouin zone. We show that this laser-intensity dependent cutoff is formed by destructive interference of the emission of electrons starting at different initial states in the Brillouin zone. The calculations in this work are for Su-Schrieffer-Heeger chains but our findings apply to other two-band systems as well. Only when the sampling of the Brillouin zone is fine enough or, equivalently, a finite chain is long enough in position space, the destructive interference is complete and forms the cutoff. For coarser sampling and shorter chains all harmonics between minimum and maximum bandgap are emitted. A time-frequency analysis shows how certain trajectories are responsible for the formation of the cutoff.
format Preprint
id arxiv_https___arxiv_org_abs_2211_06244
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Formation of the solid-state high-order harmonic generation plateau through destructive interference
Bielke, Lina
Jürß, Hannah
Burgtorf, Vincent
Bauer, Dieter
Optics
Mesoscale and Nanoscale Physics
Quantum Physics
In frequently studied two-band models for solid-state high-harmonic generation, interband harmonics in principle can range from the minimum to the maximum bandgap. However, it is known that a laser-intensity dependent cutoff exists that may be well below the maximum bandgap unless the laser intensity is so high that the electrons explore the entire Brillouin zone. We show that this laser-intensity dependent cutoff is formed by destructive interference of the emission of electrons starting at different initial states in the Brillouin zone. The calculations in this work are for Su-Schrieffer-Heeger chains but our findings apply to other two-band systems as well. Only when the sampling of the Brillouin zone is fine enough or, equivalently, a finite chain is long enough in position space, the destructive interference is complete and forms the cutoff. For coarser sampling and shorter chains all harmonics between minimum and maximum bandgap are emitted. A time-frequency analysis shows how certain trajectories are responsible for the formation of the cutoff.
title Formation of the solid-state high-order harmonic generation plateau through destructive interference
topic Optics
Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2211.06244