CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES |
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Van der Waals interlayer potential of graphitic structures: From Lennard-Jones to Kolmogorov-Crespy and Lebedeva models |
Zbigniew Koziol1, Grzegorz Gawlik2, Jacek Jagielski1,2 |
1 National Center for Nuclear Research, Materials Research Laboratory, ul. Andrzeja So?tana 7, 05-400 Otwock-wierk, Poland;
2 Institute of Electronic Materials Technology, ul. Wólczyńska 133, 01-919 Warszawa, Poland |
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Abstract The experimental knowledge on interlayer potential of graphitic materials is summarized and compared with the computational results based on phenomenological models. Besides Lennard-Jones approximation, the Mie potential is discussed, as well as the Kolmogorov-Crespy model and equation of Lebedeva et al. An agreement is found between a set of reported physical properties of graphite (layer binding energies, compressibility along c-axis in a broad pressure range, Raman frequencies for bulk shear and breathing modes under pressure), when a proper choice of model parameters is taken. It is argued that anisotropic potentials, Kolmogorov-Crespy and Lebedeva, are preferable for modeling, as they provide a better, self-consistent description. A method of fast numerical modeling, convenient for the accurate estimation of the discussed physical properties, is proposed. It may be useful in studies of other van der Waals homo/heterostructures as well.
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Received: 06 June 2019
Revised: 16 July 2019
Accepted manuscript online:
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PACS:
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61.46.-w
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(Structure of nanoscale materials)
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73.20.At
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(Surface states, band structure, electron density of states)
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73.22.-f
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(Electronic structure of nanoscale materials and related systems)
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61.48.De
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(Structure of carbon nanotubes, boron nanotubes, and other related systems)
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Corresponding Authors:
Zbigniew Kozioł
E-mail: zbigniew.koziol@ncbj.gov.pl
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Cite this article:
Zbigniew Koziol, Grzegorz Gawlik, Jacek Jagielski Van der Waals interlayer potential of graphitic structures: From Lennard-Jones to Kolmogorov-Crespy and Lebedeva models 2019 Chin. Phys. B 28 096101
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Avendano C, Lafitte T, Galindo A, Adjiman C S, Jackson G and Muller E 2011 J. Phys. Chem. B 115 11154
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Kolmogorov A N and Crespi V H 2000 Phys. Rev. Lett. 85 4727
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Kolmogorov A N and Crespi V H 2005 Phys. Rev. B 71 235415
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Wijk M M V, Schuring A, Katsnelson M I and Fasolino A 2014 Phys. Rev. Lett. 113 135504
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Schuring A 2014 Master Thesis (Radbound University Niimegen)
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[51] |
Ng T W, Lau C Y, Bernados-Chamagne E, Liu J Z, Sheridan J and Tan N 2012 Nanoscale Res. Lett. 7 185
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[55] |
Jiang J 2014 J. Appl. Phys. 116 164313
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[64] |
Hanfland M, Beister H and Syassen K 1989 Phys. Rev. B 39 12598
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[65] |
Clark S, Jeon K, Chen J and Yoo C 2013 Solid State Commun. 4 15
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[70] |
Yoshizawa K, Kato T and Yamabe T 1996 J. Chem. Phys. 105 2099
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[71] |
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[72] |
Gao W and Tkatchenko A 2015 Phys. Rev. Lett. 114 096101
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[73] |
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[74] |
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[75] |
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[78] |
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Lui C H and Heinz T F 2013 Phys. Rev. B 87 121404
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[80] |
Thornton S T and Marion J B 2003 Classical Dynamics of Particles and Systems (5th edn.) (Brooks Cole, Pacific Grove, CA)
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[81] |
Tan P H, Han W P, Zhao W J, Wu Z H, Chang K, Wang H, Wang Y F, Bonini N, Marzari N, Savini G, Lombardo A and Ferrari A C 2012 Nat. Mater. 11 294
|
[82] |
Cong C and Yu T 2014 Nat. Commun. 5 4709
|
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