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Reply to: On the liquid–liquid phase transition of dense hydrogen

The Original Article was published on 15 December 2021

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Fig. 1: A comparison of the potential energies and pressures predicted by the MLP and ref. 8 using PBE DFT.

Data availability

The data behind ref. 1 can be found at GitHub (https://github.com/BingqingCheng/MLP-highP-H).

References

  1. Cheng, B., Mazzola, G., Pickard, C. J. & Ceriotti, M., Evidence for supercritical behaviour of high-pressure liquid hydrogen Nature 585, 217–220 (2020).

    Article  CAS  Google Scholar 

  2. Karasiev, V. V., Hinz, J., Hu, S. X. & Trickey, S. B. On the liquid–liquid phase transition of dense hydrogen. Nature, https://doi.org/10.1038/s41586-021-04078-x (2021).

  3. Cheng, B., Mazzola, G. & Ceriotti, M. Evidence for supercritical behavior of high-pressure liquid. Preprint at https://arxiv.org/abs/1906.03341 (2019).

  4. Goncharov, A. F., Chuvashova, I., Ji, C. & Mao, H. Intermolecular coupling and fluxional behavior of hydrogen in phase IV. Proc. Natl Acad. Sci. 116, 25512–25515 (2019).

    Article  ADS  CAS  Google Scholar 

  5. Liu, H., & Ma, Y. Proton or deuteron transfer in phase IV of solid hydrogen and deuterium. Phys. Rev. Lett. 110, 025903 (2013).

    Article  ADS  Google Scholar 

  6. Lorenzen, W., Holst, B. & Redmer, R. First-order liquid-liquid phase transition in dense hydrogen. Phys. Rev. B 82, 195107 (2010).

    Article  ADS  Google Scholar 

  7. Zha, C., Liu, H., John, S. T. & Hemley, R. J. Melting and high PT transitions of hydrogen up to 300 GPa. Phys. Rev. Lett. 119, 075302 (2017).

    Article  Google Scholar 

  8. Geng, H. Y., Wu, Q., Marques, M. & Ackland, G. J. Thermodynamic anomalies and three distinct liquid-liquid transitions in warm dense liquid hydrogen. Phys. Rev. B 100, 134109 (2019).

    Article  ADS  CAS  Google Scholar 

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Acknowledgements

We thank G. Ackland, H. Geng and R. Redmer, who shared their ab initio MD trajectories for us to benchmark the MLP during the review process of our original paper.

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B.C., G.M., C.J.P. and M.C. performed research and wrote the paper.

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Correspondence to Bingqing Cheng.

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Cheng, B., Mazzola, G., Pickard, C.J. et al. Reply to: On the liquid–liquid phase transition of dense hydrogen. Nature 600, E15–E16 (2021). https://doi.org/10.1038/s41586-021-04079-w

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