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Ab initio Pseudopotential and Interionic Interaction in Metallic Helium

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Abstract

For the first time, an ab initio nonlocal pseudopotential of the electron–ion interaction for metallic helium is proposed. With its help, a pairwise effective interionic interaction in the case of singly ionized helium atoms is found in a wide range of densities. The calculation results are compared with the results given by simpler models of metallic helium, as well as for metallic hydrogen. The use of the proposed pseudopotential allows one to conclude that metallic helium can exist in a stable state at relatively high temperatures in a wide range of densities. Such conclusions are fundamentally related to the effect of orthogonality of the wave functions of conduction electrons and the wave functions of bound electrons of helium ions, which are taken into account when constructing the pseudopotential from first principles.

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REFERENCES

  1. E. Wigner and H. B. Huntington, “On the possibility of a metallic modification of hydrogen,” J. Chem. Phys. 3, No. 12, 764 (1935). https://doi.org/10.1063/1.1749590

    Article  CAS  Google Scholar 

  2. S. T. Weir, A. C. Mitchell, and W. J. Nellis, “Metallization of fluid molecular hydrogen at 140 GPa (1.4 Mbar),” Phys. Rev. Lett. 76, No. 11, 1860 (1996). https://doi.org/10.1103/PhysRevLett.76.1860

    Article  CAS  Google Scholar 

  3. C. Narayana, H. Luo, J. Orloff, and A. L. Ruoff, “Solid hydrogen at 342 GPa,” Nature 393, No. 6680, 46 (1998). https://doi.org/10.1038/29949

    Article  CAS  Google Scholar 

  4. S. Deemyad and I. F. Silvera, “The melting line of hydrogen at high pressures,” Phys. Rev. Lett. 100, No. 15, 155701 (2008). (arXiv: 0803.2321). https://doi.org/101103/PhysRevlett.100.155701

  5. M. I. Eremets and I. A. Troyan, “Conductive dense hydrogen,” Nature Mater., No. 10, 927 (2011). https://doi.org/10.1038/nmat3175

  6. M. D. Knudson, M. P. Desjarlais, A. Becker, R. W. Lemke, K. R. Cochrane, M. E. Savage, D. E. Bliss, T. R. Mattsson, and R. Redmer, “Direct observation of an abrupt insulator-to-metal transition in dense liquid deuterium,” Science 348, No. 6242, 1455 (2015). https://doi.org/10.1126/science.aaa7471

    Article  CAS  Google Scholar 

  7. M. Bastea, A. C. Mitchell, and W. J. Nellis, “High pressure insulator-metal transition in molecular fluid oxygen,” Phys. Rev. Lett. 86, No. 14, 3108 (2001). https://doi.org/10.1103/PhysRevLett.86.3108

    Article  CAS  Google Scholar 

  8. R. Chau, A. C. Mitchell, R. W. Minich, and W. J. Nellis, “Metallization of fluid nitrogen and the mott transition in highly compressed low-Z fluids,” Phys. Rev. Lett. 90, No. 24, 245501 (2003). https://doi.org/10.1103/PhysRevLett.90.245501

    Article  CAS  Google Scholar 

  9. V. T. Shvets, “Equation of state of metallic helium,” J. Exp. Theor. Phys. 116, No. 1, 159 (2013). https://doi.org/10.1134/S1063776113010159

    Article  CAS  Google Scholar 

  10. V. T. Shvets, Extremal State of Substance. Metallization of Gases (Grin D. S., Kherson, 2016) (in Ukrainian).

    Google Scholar 

  11. W. A. Harrison, Pseudopotentias in the Theory of Metals (W.A. Benjamin, New York–Amsterdam, 1966).

    Google Scholar 

  12. D. J. M. Geldart and S. H. Vosko, “The Screening Function of an Interacting Electron Gas,” Can. J. Phys. 44, No. 9, 2137 (1966). https://doi.org/10.1139/Can.J.Phys.44.2137

    Article  Google Scholar 

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Correspondence to V. T. Shvets.

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Translated by E. Chernokozhin

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Shvets, V.T. Ab initio Pseudopotential and Interionic Interaction in Metallic Helium. Phys. Metals Metallogr. 122, 950–953 (2021). https://doi.org/10.1134/S0031918X21100112

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