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Simple model potential for the description of elastic properties of single-layer graphene

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Abstract

A model potential for the description of elastic properties of single-layer graphene has been proposed. The potential is reduced to the two-dimensional Keating model at a small strain, but is also applicable to the description of the response of graphene to a finite in-plane strain.

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References

  1. A. V. Eletskii, I. M. Iskanderova, A. A. Knizhnik, and D. N. Krasikov, Phys.—Usp. 54(3), 227 (2011).

    Article  ADS  Google Scholar 

  2. D. R. Cooper, B. D’Anjou, N. Ghattamaneni, B. Harack, M. Hilke, A. Horth, N. Majlis, M. Massicotte, L. Vandsburger, E. Whiteway, and V. Yu, arXiv:1110.6557.

  3. S. Yu. Davydov, Phys. Solid State 52(9), 1947 (2010).

    Article  ADS  Google Scholar 

  4. S. Yu. Davydov, Phys. Solid State 54(3), 652 (2012).

    Article  ADS  Google Scholar 

  5. S. Yu. Davydov, Phys. Solid State 54(4), 875 (2012).

    Article  ADS  Google Scholar 

  6. R. A. Brazhe, A. A. Karenin, A. I. Kochaev, and R. M. Meftakhutdinov, Phys. Solid State 53(7), 1481 (2011).

    Article  ADS  Google Scholar 

  7. W. A. Harrison, Electronic Structure and Properties of Solids (Freeman, San Francisco, California, United States; Mir, Moscow, 1983), Vol. 1.

    Google Scholar 

  8. W. A. Harrison, Phys. Rev. B: Condens. Matter 27(6), 3592 (1983).

    Article  ADS  Google Scholar 

  9. W. A. Harrison and E. A. Kraut, Phys. Rev. B: Condens. Matter 37(14), 8244 (1988).

    Article  ADS  Google Scholar 

  10. F. Bechstedt and W. A. Harrison, Phys. Rev. B: Condens. Matter 39(8), 5041 (1989).

    Article  ADS  Google Scholar 

  11. L. A. Falkovsky, JETP 105(2), 397 (2007).

    Article  ADS  Google Scholar 

  12. V. M. Adomyan and V. V. Zavalniuk, arXiv:1009.5328.

  13. S. Yu. Davydov, Phys. Solid State 52(4), 810 (2010).

    Article  Google Scholar 

  14. S. Yu. Davydov, Phys. Solid State 53(3), 665 (2011).

    Article  ADS  Google Scholar 

  15. R. A. Brazhe, A. I. Kochaev, and R. M. Meftakhutdinov, Phys. Solid State 53(8), 1699 (2011).

    Article  Google Scholar 

  16. H. Karamitaheri, N. Neophiton, M. Poufath, and H. Kosina, arXiv:1202.1988.

  17. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Clarendon, Oxford, 1954; Inostrannaya Literatura, Moscow, 1958).

    MATH  Google Scholar 

  18. G. Leibfried, Gittertheorie der mechanischen und thermischen Eigenschaften der Kristalle (Springer, Berlin, 1955; GIFML, Moscow, 1963) [in German and in Russian].

    Google Scholar 

  19. J.-W. Jiang, J.-S. Wang, and B. Li, arXiv:1001.4112.

  20. Q. Lu, M. Arroyo, and R. Huang, J. Phys. D: Appl. Phys. 42, 102002 (2009).

    Article  ADS  Google Scholar 

  21. D. W. Brenner, Phys. Rev. B: Condens. Matter 42(15), 9458 (1990).

    Article  ADS  Google Scholar 

  22. D. W. Brenner, O. A. Shenderova, J. A. Harrison, S. J. Stuart, B. Ni, and S. B. Sinnott, J. Phys. C: Solid State Phys. 14(4), 783 (2002).

    Google Scholar 

  23. M. R. Vukcevich, Phys. Status Solidi 40(1), 193 (1970).

    Article  Google Scholar 

  24. A. I. Gubanov and S. Yu. Davydov, Sov. Phys. Solid State 14(2), 372 (1972).

    Google Scholar 

  25. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Nauka, Moscow, 1987; Butterworth-Heinemann, Oxford, 1995).

    Google Scholar 

  26. S. Flügge, Practical Quantum Mechanics (Springer, Heidelberg, 1971; Mir, Moscow, 1974), Vol. 1.

    Book  Google Scholar 

  27. P. N. Keating, Phys. Rev. 152(2), 774 (1966).

    Article  ADS  Google Scholar 

  28. S. Yu. Davydov, Phys. Solid State 52(4), 810 (2010).

    Article  Google Scholar 

  29. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1953; Nauka, Moscow, 1978).

    MATH  Google Scholar 

  30. S. Yu. Davydov, Phys. Solid State 53(3), 665 (2011).

    Article  ADS  Google Scholar 

  31. O. L. Blaksly, D. G. Proctor, E. J. Seldin, G. B. Spence, and T. Weng, J. Appl. Phys. 41(8), 3373 (1970).

    Article  ADS  Google Scholar 

  32. M. Arroyo and T. Belytschro, Phys. Rev. B: Condens. Matter 69, 115415 (2004).

    Article  ADS  Google Scholar 

  33. Handbook of Physical Quantities, Ed. by I. S. Grigoriev and E. Z. Meilikhov (Energoatomizdat, Moscow, 1991; CRC Press, Boca Raton, Florida, United States, 1997).

    Google Scholar 

  34. K. N. Kudin, G. E. Scuseria, and B. I. Yakobson, Phys. Rev. B: Condens. Matter 64(23), 235406 (2001).

    Article  ADS  Google Scholar 

  35. R. A. Brazhe and A. I. Kochaev, Phys. Solid State 54(8), 1612 (2012).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Ioffe Physical Technical Institute, Russian Academy of Sciences, Politekhnicheskaya ul. 26, St. Petersburg, 194021, Russia

    S. Yu. Davydov

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  1. S. Yu. Davydov
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Correspondence to S. Yu. Davydov.

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Original Russian Text © S.Yu. Davydov, 2013, published in Fizika Tverdogo Tela, 2013, Vol. 55, No. 4, pp. 813–815.

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Davydov, S.Y. Simple model potential for the description of elastic properties of single-layer graphene. Phys. Solid State 55, 885–888 (2013). https://doi.org/10.1134/S1063783413040070

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