Impact of crystal symmetries and Weyl nodes on high-harmonic generation in Weyl semimetal TaAs

Fuente: arXiv
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Autori principali: Zhang, Xiao, Brink, Jeroen van den, Li, Jinbin
Natura: Preprint
Pubblicazione: 2024
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author Zhang, Xiao
Brink, Jeroen van den
Li, Jinbin
author_facet Zhang, Xiao
Brink, Jeroen van den
Li, Jinbin
contents High-harmonic generation (HHG) offers an all-optical approach to discern structural symmetries through its selection rules and probe topological phases with its spectral signatures. Here we develop a universal theoretical framework -- the Jones matrix formalism -- establishing the fundamental relationship between pulse-crystal shared symmetries and HHG selection rules. Applying this to the Weyl semimetal (WSM) material TaAs, shows that the anomalous harmonics excited by linearly and circularly polarized pulses are governed respectively by the shared twofold and fourfold rotational symmetries of laser pulses and lattice, rather than the topology of Weyl nodes. The common observables of HHG, including intensity, circular dichroism, ellipticity dependence, and carrier-envelope phase dependence, are not found to carry a signature of the Weyl cones. This insight into TaAs can be extended to other WSMs, indicating that HHG is not a particularly effective tool for investigating the topological features of WSMs. However, the Jones matrix formalism lays the groundwork for both HHG probing crystal symmetry and controlling harmonic polarization states.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16125
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Impact of crystal symmetries and Weyl nodes on high-harmonic generation in Weyl semimetal TaAs
Zhang, Xiao
Brink, Jeroen van den
Li, Jinbin
Materials Science
Optics
High-harmonic generation (HHG) offers an all-optical approach to discern structural symmetries through its selection rules and probe topological phases with its spectral signatures. Here we develop a universal theoretical framework -- the Jones matrix formalism -- establishing the fundamental relationship between pulse-crystal shared symmetries and HHG selection rules. Applying this to the Weyl semimetal (WSM) material TaAs, shows that the anomalous harmonics excited by linearly and circularly polarized pulses are governed respectively by the shared twofold and fourfold rotational symmetries of laser pulses and lattice, rather than the topology of Weyl nodes. The common observables of HHG, including intensity, circular dichroism, ellipticity dependence, and carrier-envelope phase dependence, are not found to carry a signature of the Weyl cones. This insight into TaAs can be extended to other WSMs, indicating that HHG is not a particularly effective tool for investigating the topological features of WSMs. However, the Jones matrix formalism lays the groundwork for both HHG probing crystal symmetry and controlling harmonic polarization states.
title Impact of crystal symmetries and Weyl nodes on high-harmonic generation in Weyl semimetal TaAs
topic Materials Science
Optics
url https://arxiv.org/abs/2405.16125