Van der Waals correlation between two 4He monolayers on the opposite sides of graphene
- 31 Downloads
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 CarloPreview
Unable to display preview. Download preview PDF.
References
- [1]G. Zimmerli, G. Mistura and M. H. W. Chan, Phys. Rev. Lett. 68, 60 (1992).ADSCrossRefMATHGoogle Scholar
- [2]D. S. Greywall and P. A. Busch, Phys. Rev. Lett. 67, 3535 (1991).ADSCrossRefGoogle Scholar
- [3]P. A. Crowell and J. D. Reppy, Phys. Rev. Lett. 70, 3291 (1993).ADSCrossRefGoogle Scholar
- [4]P. A. Crowell and J. D. Reppy, Phys. Rev. B 53, 2701 (1996).ADSCrossRefGoogle Scholar
- [5]M. E. Pierce and E. Manousakis, Phys. Rev. Lett. 81, 156 (1998).ADSCrossRefGoogle Scholar
- [6]M. E. Pierce and E. Manousakis, Phys. Rev. B 59, 3802 (1999).ADSCrossRefMATHGoogle Scholar
- [7]P. Corboz, M. Boninsegni, L. Pollet and M. Troyer, Phys. Rev. B 78, 245414 (2008).ADSCrossRefGoogle Scholar
- [8]D. S. Greywall, Phys. Rev. B 47, 309 (1993).ADSCrossRefGoogle Scholar
- [9]S. Nakamura, K. Matsui, T. Matsui and H. Fukuyama, arXiv:1406.4388 (2014).Google Scholar
- [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]O. Leenaerts, B. Partoens and F. M. Peeters, Appl. Plys. Lett. 93, 193107 (2008).ADSCrossRefGoogle Scholar
- [12]M. C. Gordillo and J. Boronat, Phys. Rev. Lett. 102, 085303 (2009).ADSCrossRefGoogle Scholar
- [13]M. C. Gordillo, C. Cazorla and J. Boronat, Phys. Rev. B 83, 121406(R) (2011).ADSCrossRefMATHGoogle Scholar
- [14]Y. Kwon and D. M. Ceperley, Phys. Rev. B 85, 224501 (2012).ADSCrossRefGoogle Scholar
- [15]W. E. Carlos and M. W. Cole, Surf. Sci. 91, 339 (1980).ADSCrossRefGoogle Scholar
- [16]J. Happacher, P. Corboz, M. Boninsegni and L. Pollet, Phys. Rev. B 87, 094514 (2013).ADSCrossRefGoogle Scholar
- [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]L. V. Markić, P. Stipanović, I. Bešlić and R. E. Zillich, Phys. Rev. B 88, 125416 (2013).ADSCrossRefGoogle Scholar
- [19]M. C. Gordillo, Phys. Rev. B 89, 155401 (2014).ADSCrossRefGoogle Scholar
- [20]R. A. Aziz, M. J. Slaman, A. Koide, A. R. Allnatt and W. J. Meath, Mol. Phys. 77, 321 (1992).ADSCrossRefGoogle Scholar
- [21]D. M. Ceperley and E. L. Pollock, Phys. Rev. Lett. 56, 351 (1986).ADSCrossRefGoogle Scholar
- [22]D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).ADSCrossRefMATHGoogle Scholar
- [23]R. E. Zillich, F. Paesani, Y. Kwon and K. B. Whaley, J. Chem. Phys. 123, 114301 (2005).ADSCrossRefMATHGoogle Scholar