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Zero-Point Energy of Compressed Rare-Gas Crystals in the Model of Deformable Atoms

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Physics and Mechanics of New Materials and Their Applications

Part of the book series: Springer Proceedings in Materials ((SPM,volume 20))

Abstract

The lattice dynamics of compressed rare-gas crystals is theoretically investigated in the model of deformable and polarizable atoms, taking into account the three-body interaction and deformation of the electron shells of dipole-type atoms within the pair and three-body approximations. Calculations of the energy of phonons and zero-point vibrations for compressed rare-gas crystals are performed at two and ten main value points of the Chadi-Cohen method in a wide range of pressures. It is shown that the contribution of three-body forces due to the overlapping of the electron shells of neighboring atoms is insignificant even at high pressure and most noticeable for Xe. At the same time, the contribution of the deformation of electron shells within the pair and three-body approximations is more significant and increase with an increase in pressure.

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References

  1. T. Kihara, S. Koba, J. Phys. Soc. Jpn. 7, 348 (1952).

    Google Scholar 

  2. M. Born, Proc. Cambridge Philos. Soc. 40, 262 (1944).

    Google Scholar 

  3. J. A. Prins, J. M. Dumore, L. T. Tjoan, Physica (Amsterdam) 18, 307 (1952).

    Google Scholar 

  4. G. L. Pollack, Rev. Mod. Phys. 36, 748 (1964).

    Google Scholar 

  5. B. W. van de Waal, Phys. Rev. Lett., 67, 3263 (1991).

    Google Scholar 

  6. J. A. Venables, In: Rare Gas Solids, M. L. Klein, J. A. Venables (Eds.), Academic Press, London, (1976).

    Google Scholar 

  7. N. V. Krainyukova, R. E. Boltnev, E. P. Bernard, V.V. Khmelenko, D. M. Lee, V. Kiryukhin, Phys. Rev. Lett. 109, 245505 (2012).

    Google Scholar 

  8. K. Rosciszewski, B. Paulus, P. Fulde, H. Stoll, Phys. Rev. B 62, 5482 (2000).

    Google Scholar 

  9. K. Rosciszewski, B. Paulus, P. Fulde, H. Stoll, Phys. Rev. B 60, 7905 (1999).

    Google Scholar 

  10. K. Rosciszewski, B. Paulus, Phys. Rev. B 66, 092102 (2002).

    Google Scholar 

  11. E. Kim and M. Nicol, Phys. Rev. Lett. 96, 035504 (2006).

    Google Scholar 

  12. I. Kwon, L. A. Collins, J. D. Kress, N. Troullier, Phys. Rev. B 52, 21, 15165 (1995).

    Google Scholar 

  13. J. K. Dewhurst, R. Ahuja, S. Li, B. Johansson, Phys. Rev. Lett. 88, 7, 075504 (2002).

    Google Scholar 

  14. N. Gaston, P. Schwerdtfeger, Phys. Rev. B 74, 024105 (2006).

    Google Scholar 

  15. F. O. Kannemann, A. D. Becke, J. Chem. Theory Comput. 5, 719 (2009).

    Google Scholar 

  16. P. Schwerdtfeger, K. G. Steenbergen, E. Pahl, Phys. Rev. B 95, 214116 (2017).

    Google Scholar 

  17. P. Schwerdtfeger, A. Hermann, Phys. Rev. B 80, 064106 (2009).

    Google Scholar 

  18. L. Trombach, R. S. Hoy, D. J. Wales, P. Schwerdtfeger Phys. Rev. E 97, 043309 (2018).

    Google Scholar 

  19. L. Trombach, P. Schwerdtfeger Phys. Rev. E 98, 033311 (2018).

    Google Scholar 

  20. E. P. Troitskaya, E. A. Pilipenko, Ie. Ie. Gorbenko, Phys. Solid State 61, 1846 (2019).

    Google Scholar 

  21. E. P. Troitskaya, Ie. Ie. Gorbenko, E. A. Pilipenko J. Low Temp. Phys. 42, 411 (2016).

    Google Scholar 

  22. E. P. Troitskaya, V. V. Chabanenko, Ie. Ie. Gorbenko, E. A. Pilipenko, Phys. Solid State 57, 119 (2015).

    Google Scholar 

  23. E. P. Troitskaya, V. V. Chabanenko, Ie. Ie. Gorbenko, N. V. Kuzovoi, Fiz. Tekh. Vys. Davl. 17 (3), 14 (2007).

    Google Scholar 

  24. D. J. Chadi, M. L. Cohen, Phys. Rev. B 8, 5747 (1973).

    Google Scholar 

  25. E. P. Troitskaya, E. A. Pilipenko, Ie. Ie. Gorbenko, Phys. Solid State 61, 30 (2019).

    Google Scholar 

  26. A. Baldereschi, Phys. Rev. B 7, 5212 (1973).

    Google Scholar 

  27. R. H. Beaumont, H. Chihara, J. A. Morrison, Proc. Phys. Soc. 78, 506, 1462 (1961).

    Google Scholar 

  28. J. Eckert, W. B. Daniels, J. D. Axe, Phys. Rev. B 14,3649 (1976).

    Google Scholar 

  29. B. Farid, R. Godby, Phys. Rev. B 43, 14 248 (1991).

    Google Scholar 

  30. Data compiled by N. Pearlman, American Institute of Physics Handbook, 3rd ed., Dwight E. Gray (Ed.), McGraw-Hill, New York, (1965).

    Google Scholar 

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Acknowledgement

This research was supported by the Ministry of Science and Higher Education of the Russian Federation (State task in the field of scientific activity, scientific project No (0852–2020-0032)/(BAZ0110/20–3-07IF).

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Correspondence to E. A. Pilipenko .

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Gorbenko, I.I., Pilipenko, E.A., Verbenko, I.A., Glazunova, E.V. (2023). Zero-Point Energy of Compressed Rare-Gas Crystals in the Model of Deformable Atoms. In: Parinov, I.A., Chang, SH., Soloviev, A.N. (eds) Physics and Mechanics of New Materials and Their Applications. Springer Proceedings in Materials, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-031-21572-8_8

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