Journal of the Korean Physical Society

, Volume 66, Issue 12, pp 1856–1861 | Cite as

Van der Waals correlation between two 4He monolayers on the opposite sides of graphene

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Abstract

Path-integral Monte Carlo calculations have been performed to study the correlation between two 4He monolayers adsorbed on opposite sides of a graphene sheet. Here, the 4He-substrate interaction is described by the pairwise sum of the 4He-C interatomic potentials. We employ two different anisotropic 4He-C pair potentials proposed to fit the helium scattering data on a graphite surface, namely, a 6–12 Lennard-Jones potential and a Yukawa-6 potential. With the Lennard-Jones substrate potential, we do not observe any noticeable correlation between two oppositeside 4He monolayers, which is consistent with the prediction of the previous theoretical studies based on the same substrate potential. When the Yukawa-6 substrate potential is used, however, two incommensurate triangular solids, which are realized at the first-layer completion density of 0.12 Å -2, are found to favor an AA stacking order, two triangular lattices on top of each other, over an AB stacking. Finally, the effects of this interlayer correlation on the formation of stable mobile vacancies are discussed.

Keywords

4He Graphene Interlayer Correlation Path-integral Monte Carlo 

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References

  1. [1]
    G. Zimmerli, G. Mistura and M. H. W. Chan, Phys. Rev. Lett. 68, 60 (1992).ADSCrossRefMATHGoogle Scholar
  2. [2]
    D. S. Greywall and P. A. Busch, Phys. Rev. Lett. 67, 3535 (1991).ADSCrossRefGoogle Scholar
  3. [3]
    P. A. Crowell and J. D. Reppy, Phys. Rev. Lett. 70, 3291 (1993).ADSCrossRefGoogle Scholar
  4. [4]
    P. A. Crowell and J. D. Reppy, Phys. Rev. B 53, 2701 (1996).ADSCrossRefGoogle Scholar
  5. [5]
    M. E. Pierce and E. Manousakis, Phys. Rev. Lett. 81, 156 (1998).ADSCrossRefGoogle Scholar
  6. [6]
    M. E. Pierce and E. Manousakis, Phys. Rev. B 59, 3802 (1999).ADSCrossRefMATHGoogle Scholar
  7. [7]
    P. Corboz, M. Boninsegni, L. Pollet and M. Troyer, Phys. Rev. B 78, 245414 (2008).ADSCrossRefGoogle Scholar
  8. [8]
    D. S. Greywall, Phys. Rev. B 47, 309 (1993).ADSCrossRefGoogle Scholar
  9. [9]
    S. Nakamura, K. Matsui, T. Matsui and H. Fukuyama, arXiv:1406.4388 (2014).Google Scholar
  10. [10]
    K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, Y. Zhang, S. V. Dubonos, I. V. Grigorieva and A. A. Frisov, Science 306, 666 (2004).ADSCrossRefGoogle Scholar
  11. [11]
    O. Leenaerts, B. Partoens and F. M. Peeters, Appl. Plys. Lett. 93, 193107 (2008).ADSCrossRefGoogle Scholar
  12. [12]
    M. C. Gordillo and J. Boronat, Phys. Rev. Lett. 102, 085303 (2009).ADSCrossRefGoogle Scholar
  13. [13]
    M. C. Gordillo, C. Cazorla and J. Boronat, Phys. Rev. B 83, 121406(R) (2011).ADSCrossRefMATHGoogle Scholar
  14. [14]
    Y. Kwon and D. M. Ceperley, Phys. Rev. B 85, 224501 (2012).ADSCrossRefGoogle Scholar
  15. [15]
    W. E. Carlos and M. W. Cole, Surf. Sci. 91, 339 (1980).ADSCrossRefGoogle Scholar
  16. [16]
    J. Happacher, P. Corboz, M. Boninsegni and L. Pollet, Phys. Rev. B 87, 094514 (2013).ADSCrossRefGoogle Scholar
  17. [17]
    J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth and S. Roth, Nature 446, 60 (2007).ADSCrossRefMATHGoogle Scholar
  18. [18]
    L. V. Markić, P. Stipanović, I. Bešlić and R. E. Zillich, Phys. Rev. B 88, 125416 (2013).ADSCrossRefGoogle Scholar
  19. [19]
    M. C. Gordillo, Phys. Rev. B 89, 155401 (2014).ADSCrossRefGoogle Scholar
  20. [20]
    R. A. Aziz, M. J. Slaman, A. Koide, A. R. Allnatt and W. J. Meath, Mol. Phys. 77, 321 (1992).ADSCrossRefGoogle Scholar
  21. [21]
    D. M. Ceperley and E. L. Pollock, Phys. Rev. Lett. 56, 351 (1986).ADSCrossRefGoogle Scholar
  22. [22]
    D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).ADSCrossRefMATHGoogle Scholar
  23. [23]
    R. E. Zillich, F. Paesani, Y. Kwon and K. B. Whaley, J. Chem. Phys. 123, 114301 (2005).ADSCrossRefMATHGoogle Scholar

Copyright information

© The Korean Physical Society 2015

Authors and Affiliations

  1. 1.Division of Quantum Phases and Devices, School of PhysicsKonkuk UniversitySeoulKorea

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