Correction to: _npj Computational Materials_ https://doi.org/10.1038/s41524-024-01399-z, published online 02 September 2024 In this article, there are typos that need to be corrected. The

main corrections are below. The original article has been corrected. * 1. Page 5. Equation 2: $$G({\rm{\omega }},{t}_{0})={\left|\int {dt}{\partial

}_{t}{\boldsymbol{j}}\left(t\right){e}^{-\frac{{\left(t-{t}_{0}\right)}^{2}}{{\sigma }^{2}}}{e}^{-i{\rm{\omega }}t}\right|}^{2},$$ (2) * 2. Page 5. Equation 3:

$${N}_{{ex}}\left(t\right)={N}_{e}-\frac{1}{{N}_{{\boldsymbol{k}}}}\mathop{\sum }\limits_{n,\,{n}^{{\prime} }}^{{occ}}\mathop{\sum }\limits_{{\boldsymbol{k}}}^{{BZ}}{\left|\left\langle {\psi

first-principles calculations, data analysis, investigation, and wrote the initial manuscript with consultation from Ofer Neufeld, Nicolas Tancogne-Dejean, I-Te Lu, Hannes Hübener and

Umberto De Giovannini. All authors participated in discussing and editing the manuscripts. * 5. Page 2. Right column (top). “Our calculations confirm the two methods are equivalent in the

simulations of high harmonic generation.“ To “Our calculations confirm the two methods are equivalent in the simulations of high harmonic generation, thus mimicking the experimental

condition whereby coherent phonons are excited by another laser pulse.” * 6. Page 4, Figure 4 caption “Numbers of excited electrons for the phonon-free case at the end of the laser pulses

and the excited phonon case in bulk hBN for different laser intensities.” To “Numbers of excited electrons for the phonon-free case pulses and the excited phonon case in bulk hBN for

different laser intensities at the end of the laser.” * 7. Page 3, Left column (bottom) “The time-frequency analysis in HHG is a powerful tool that combines temporal and spectral analysis to

provide a comprehensive understanding of the ultrafast processes involved in high harmonic generation, involving a windowed Fourier transform of the induced current.” To “The time-frequency

analysis in HHG is a powerful tool that combines temporal and spectral analysis to provide a comprehensive understanding of the ultrafast processes involved in high harmonic generation,

which is useful for deciphering the mechanism through which phonons enhance the HHG yield.” Also, the SI needs to be replaced. AUTHOR INFORMATION Author notes * These authors contributed

equally: Jin Zhang, Ofer Neufeld. AUTHORS AND AFFILIATIONS * Laboratory of Theoretical and Computational Nanoscience, National Center for Nanoscience and Technology, Chinese Academy of

Sciences, 100190, Beijing, China Jin Zhang * Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science, Luruper Chaussee 149, 22761, Hamburg,

Germany Jin Zhang, Ofer Neufeld, Nicolas Tancogne-Dejean, I-Te Lu, Hannes Hübener, Umberto De Giovannini & Angel Rubio * Università degli Studi di Palermo, Dipartimento di Fisica e

Chimica—Emilio Segrè, Palermo, I-90123, Italy Umberto De Giovannini * Center for Computational Quantum Physics (CCQ), The Flatiron Institute, 162 Fifth avenue, New York, NY, 10010, USA Angel

Rubio * Nano-Bio Spectroscopy Group, Universidad del País Vasco UPV/EHU- 20018 San Sebastián, San Sebastián, Spain Angel Rubio Authors * Jin Zhang View author publications You can also

search for this author inPubMed Google Scholar * Ofer Neufeld View author publications You can also search for this author inPubMed Google Scholar * Nicolas Tancogne-Dejean View author

publications You can also search for this author inPubMed Google Scholar * I-Te Lu View author publications You can also search for this author inPubMed Google Scholar * Hannes Hübener View

author publications You can also search for this author inPubMed Google Scholar * Umberto De Giovannini View author publications You can also search for this author inPubMed Google Scholar *

Angel Rubio View author publications You can also search for this author inPubMed Google Scholar CORRESPONDING AUTHORS Correspondence to Jin Zhang, Ofer Neufeld, Nicolas Tancogne-Dejean or

Angel Rubio. RIGHTS AND PERMISSIONS OPEN ACCESS This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution

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ARTICLE Zhang, J., Neufeld, O., Tancogne-Dejean, N. _et al._ Author Correction: Enhanced high harmonic efficiency through phonon-assisted photodoping effect. _npj Comput Mater_ 10, 250

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