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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Zimmerli, G. Mistura and M. H. W. Chan, Phys. Rev. Lett. 68, 60 (1992).
D. S. Greywall and P. A. Busch, Phys. Rev. Lett. 67, 3535 (1991).
P. A. Crowell and J. D. Reppy, Phys. Rev. Lett. 70, 3291 (1993).
P. A. Crowell and J. D. Reppy, Phys. Rev. B 53, 2701 (1996).
M. E. Pierce and E. Manousakis, Phys. Rev. Lett. 81, 156 (1998).
M. E. Pierce and E. Manousakis, Phys. Rev. B 59, 3802 (1999).
P. Corboz, M. Boninsegni, L. Pollet and M. Troyer, Phys. Rev. B 78, 245414 (2008).
D. S. Greywall, Phys. Rev. B 47, 309 (1993).
S. Nakamura, K. Matsui, T. Matsui and H. Fukuyama, arXiv:1406.4388 (2014).
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).
O. Leenaerts, B. Partoens and F. M. Peeters, Appl. Plys. Lett. 93, 193107 (2008).
M. C. Gordillo and J. Boronat, Phys. Rev. Lett. 102, 085303 (2009).
M. C. Gordillo, C. Cazorla and J. Boronat, Phys. Rev. B 83, 121406(R) (2011).
Y. Kwon and D. M. Ceperley, Phys. Rev. B 85, 224501 (2012).
W. E. Carlos and M. W. Cole, Surf. Sci. 91, 339 (1980).
J. Happacher, P. Corboz, M. Boninsegni and L. Pollet, Phys. Rev. B 87, 094514 (2013).
J. C. Meyer, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. J. Booth and S. Roth, Nature 446, 60 (2007).
L. V. Markić, P. Stipanović, I. Bešlić and R. E. Zillich, Phys. Rev. B 88, 125416 (2013).
M. C. Gordillo, Phys. Rev. B 89, 155401 (2014).
R. A. Aziz, M. J. Slaman, A. Koide, A. R. Allnatt and W. J. Meath, Mol. Phys. 77, 321 (1992).
D. M. Ceperley and E. L. Pollock, Phys. Rev. Lett. 56, 351 (1986).
D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).
R. E. Zillich, F. Paesani, Y. Kwon and K. B. Whaley, J. Chem. Phys. 123, 114301 (2005).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kwon, Y. Van der Waals correlation between two 4He monolayers on the opposite sides of graphene. Journal of the Korean Physical Society 66, 1856–1861 (2015). https://doi.org/10.3938/jkps.66.1856
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.66.1856