Abstract
For 14 two-dimensional hexagonal compounds IV–IV and III–V, analytical expressions have been obtained using the Harrison bond-orbital method for the contribution from the π-interaction to the polarity of interatomic bonds, the effective atomic and transverse dynamical charges and their dependences on the deformation, as well as to the binding energy, the cohesive energy, and the central and non-central force constants.
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A. H. Castro Neto, F. Guinea, N. M. R. Peres, R. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81, 109 (2009).
A. Kara, H. Enriquez, A. P. Seitsonen, L. C. Lew Yan Voon, S. Vizzini, B. Aufray, and H. Oughaddou, Surf. Sci. Rep. 67, 1 (2012).
A. H. Castro Neto and K. Novoselov, Rep. Prog. Phys. 74, 082501 (2011).
A. K. Geim and I. V. Grigorieva, Nature (London) 499, 419 (2013).
M. Xu, T. Liang, and H. Cheng, Chem. Rev. 113, 3766 (2013).
H. Sahin, S. Cahangirov, M. Topsakal, E. Bekaroglu, E. Akturk, R. T. Senger, and S. Ciraci, Phys. Rev. B: Condens. Matter 80, 155453 (2009).
M. Topsakal and S. Ciraci, Phys. Rev. B: Condens. Matter 81, 024107 (2010).
T. Suzuki and Y. Yokomizo, Physica E (Amsterdam) 40, 2810 (2010).
S. Wang, J. Phys. Soc. Jpn. 79, 064602 (2010).
G. Mukhopadhyay and H. Behera, World J. Eng. 10, 39 (2013).
H. L. Zhuang, A. K. Singh, and R. G. Hennig, Phys. Rev. B: Condens. Matter 87, 165415 (2013).
A. K. Singh, H. L. Zhuang, and R. G. Henning, Phys. Rev. B: Condens. Matter 89, 245431 (2014).
C.-J. Tong, H. Zhang, Y.-N. Zhang, H. Liu, and L.-M. Liu, J. Mater. Chem. A 2, 17971 (2014).
V. Zoliomi, J. R. Wallbank, and V. I. Fal’ko, 2D Materials 1, 011005 (2014).
S. Yu. Davydov, Fiz. Tekh. Poluprovodn. 47, 1065 (2013).
S. Yu. Davydov and O. V. Posrednik, Phys. Solid State 57 (4), 831 (2015).
W. A. Harrison, Electronic Structure and the Properties of Solids: The Physics of the Chemical Bond (Freeman, San Francisco, 1980; Mir, Moscow, 1983).
W. A. Harrison, Phys. Rev. B: Condens. Matter 27, 3592 (1983).
W. A. Harrison, Phys. Rev. B: Condens. Matter 31, 2121 (1985).
S. Yu. Davydov and O. V. Posrednik, The Method of Bonding Orbitals in the Theory of Semiconductors (St. Petersburg State Electrochemical University “LETI,” St. Petersburg, 2007) [in Russian]. twirpx.com/file/1014608/.
S. Yu. Davydov, Phys. Solid State 52 (1), 184 (2010).
M. Kitamura and W. A. Harrison, Phys. Rev. B: Condens. Matter 44, 7941 (1991).
W. A. Harrison and E. A. Kraut, Phys. Rev. B: Condens. Matter 37, 8244 (1988).
F. Bechstedt and W. A. Harrison, Phys. Rev. B: Condens. Matter 38, 5041 (1989).
S. Yu. Davydov, Phys. Solid State 54 (4), 875 (2012).
S. P. Nikanorov and B. K. Kardashev, Elasticity and Dislocation Inelasticity of Crystals (Nauka, Moscow, 1985) [in Russian].
M. Levinshtein, S. Rumyantsev, and M. Shur, Handbook Series on Semiconductor Parameters (World Scientific, London, 1999), Vols. 1, 2.
T. Azuhata, T. Sota, and K. Suzuki, J. Phys.: Condens. Matter 8, 3111 (1996).
A. F. Wright, J. Appl. Phys. 82, 2833 (1997).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Nauka, Moscow, 1987; Butterworth–Heinemann, Oxford, 1995).
W. A. Harrison, Phys. Rev. B: Condens. Matter 41, 6008 (1990).
R. Osgood III and W. A. Harrison, Phys. Rev. B: Condens. Matter 43, 14255 (1991).
M. Kitamura, R. Muramatsu, and W. A. Harrison, Phys. Rev. B: Condens. Matter 46, 1351 (1992).
S.-G. Shen, J. Phys.: Condens. Matter 6, 8733 (1994).
S. Q. Wang and H. Q. Ye, J. Phys.: Condens. Matter 17, 4475 (2005).
G. Bester, X. Wu, D. Vanderbilt, and A. Zunger, Phys. Rev. Lett. 96, 187602 (2006).
G. Bester, A. Zunger, X. Wu, and D. Vanderbilt, Phys. Rev. B: Condens. Matter 74, 081305(R) (2006).
M. A. Migliorato, D. Powell, A. G. Cullis, T. Hammerschmidt, and G. P. Srivastava, Phys. Rev. B: Condens. Matter 74, 245332 (2006).
S. Yu. Davydov, Phys. Solid State 51 (6), 1231 (2009).
L. C. Lew Yan Voon, and M. Willatzen, J. Appl. Phys. 109, 031101 (2011).
M. A. Caro, S. Schultz, and E. P. O’Reilly, arXiv:1502.05489.
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Original Russian Text © S.Yu. Davydov, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 2, pp. 392–400.
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Davydov, S.Y. Contribution of π-bonds to effective charges, cohesive energy, and force constants of graphene-like compounds. Phys. Solid State 58, 402–412 (2016). https://doi.org/10.1134/S1063783416020098
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DOI: https://doi.org/10.1134/S1063783416020098