Abstract
The concentration dependences of the elastic constants of the two-dimensional Si x C1 − x system have been investigated with the use of the Harrison bonding-orbital method and the Keating model. The central and non-central force constants and the Grüneisen parameter have been considered by means of the bonding-orbital method. All quantities under consideration have been shown to exhibit a nonlinear behavior during the transition from graphene to silicene. A nontrivial role of the short-range repulsion has been discussed. The second-order and third-order elastic constants, the pressure dependences of the second-order elastic constants, as well as the Poisson’s ratio and Young’s modulus have been investigated in the Keating model. It has been found that the elastic constants and Young’s modulus change almost linearly upon the transition from graphene to silicene, whereas the other quantities under consideration exhibit nonlinearity.
Similar content being viewed by others
References
A. V. Eletskii, Phys.—Usp. 50(3), 225 (2007).
A. V. Eletskii, I. M. Iskandarova, A. A. Knizhnik, and D. N. Krasikov, Phys.—Usp. 54(3), 227 (2011).
A. Kara, C. Léandri, M. E. Dávila, P. de Padova, B. Ealet, H. Oughaddou, B. Aufray, and G. Le Lay, arXiv:0811.2611.
S. Yu. Davydov, Phys. Solid State 52(1), 184 (2010).
W. Harrison, Electronic Structure and Properties of Solids (Freeman, San Francisco, California, United States, Mir, Moscow, 1983), Vol. 1.
W. A. Harrison, Phys. Rev. B: Condens. Matter 27, 3592 (1983).
W. A. Harrison, Phys. Rev. B: Condens. Matter 24, 5835 (1981).
S. B. Fagan, R. J. Baierle, and R. Mota, Phys. Rev. B: Condens. Matter 61, 9994 (2000).
B. F. Ormont, Introduction to Physical Chemistry and Crystal Chemistry of Semiconductors (Vysshaya Shkola, Moscow, 1968) [in Russian].
S. Yu. Davydov, Phys. Solid State 52(9), 1947 (2010).
S. Yu. Davydov, Phys. Solid State 52(4), 810 (2010).
P. N. Keating, Phys. Rev. 145(2), 637 (1965).
S. P. Nikanorov and B. K. Kardashev, Elasticity and Dislocation Anelasticity of Crystals (Nauka, Moscow, 1985) [in Russian].
S. Yu. Davydov, Phys. Solid State 53(3), 665 (2011).
P. N. Keating, Phys. Rev. 149(2), 674 (1966).
J. Callaway, Energy Band Theory (Academic, New York, 1964; Mir, Moscow, 1969).
G. Leibfried, Gittertheorie der mechanischen und thermischen Eigenschaften der Kristalle (Springer, Berlin, 1955; GIFML, Moscow, 1963) [in German and in Russian].
L. Ci, L. Song, C. Jin, D. Jariwala, D. Wu, Y. Li, A. Srivastava, Z. F. Wang, K. Storr, L. Balicas, F. Liu, and P. M. Ajayan, Nat. Mater. 9(5), 430 (2010).
Q. Peng, A. R. Zamiri, and S. De, arXiv:1107.1448.
P. C. Kelires and F. Kaxiras, Phys. Rev. Lett. 78(18), 3479 (1997).
D. Mura, L. Colombo, R. Bertoncini, and G. Mula, Phys. Rev. B: Condens. Matter 58(16), 10357 (1998).
S. H. Ka and T. Uda, Phys. Rev. B: Condens. Matter 59(23), 15013 (1999).
W. Qin, C. Wu, G. Qin, J. Zhang, and D. Zhao, Phys. Rev. Lett. 90(24), 245503 (2003).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.Yu. Davydov, 2012, published in Fizika Tverdogo Tela, 2012, Vol. 54, No. 3, pp. 609–614.
Rights and permissions
About this article
Cite this article
Davydov, S.Y. Concentration dependences of the elastic constants of the two-dimensional graphene-silicene system. Phys. Solid State 54, 652–657 (2012). https://doi.org/10.1134/S1063783412030080
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783412030080