Structure and stability of discrete breather in zigzag and armchair carbon nanotubes

Y. Doi; A. Nakatani

doi:10.22226/2410-3535-2016-1-49-53

Structure and stability of stationary discrete breathers (DBs) in armchair and zigzag carbon nanotubes (CNTs) are investigated numerically. Precise numerical solutions of DB in CNTs are calculated by a numerical method that couples the Newton-Raphson method and molecular dynamics method. Linear stability analysis is performed by constructing of monodromy matrix of the numerical solution of DB from the numerical results of MD simulation. In both structures of zigzag and armchair carbon nanotube, stationary DBs with higher angular frequency above zone boundary mode exist. Displacement of DB is on cylindrical plane of CNTs. Linear stability analysis shows that DBs in both armchair CNT and zigzag CNT are unstable. The maximum growth rate of the unstable perturbation mode can be calculated numerically. The maximum growth rate of armchair CNT is greater than that of zigzag CNT even when the curvature of the cylindrical plane of zigzag CNT is greater than armchair CNT. In both case of armchair and zigzag CNT, the unstable motion is excited in the direction out of the cylindrical plane of CNTs. Unstable dynamics is suppressed by introducing extensive strain in axial direction of CNT. In this case, motion of the unstable perturbation modes is confined on the cylindrical plane of CNTs

1. A. J. Sievers, S. Takeno. Phys. Rev. Lett. 61, 970 (1988).

2. S. Flach, A. V. Gorbach. Phys. Rep. 467, 1 (2008).

3. K. Yoshimura, Y. Doi, M. Kimura. Localized modes in nonlinear discrete systems. in “Progress in Nanophotonics 3” (M. Ohtsu, T. Yatsui (eds.)), pp. 119 - 166 (2015).

4. M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, H. G. Craghead. Phys. Rev. Lett. 90, 044102 (2003).

5. Y. Watanabe, T. Nishida, N. Sugimoto. Proceedings of the Estonian Academy of Sciences. 64, pp.417 - 212 (2015).

6. M. Kimura, T. Hikihara. Chaos. 19, 013138 (2009).

7. L. Q. English, F. Palmero, A. J. Sievers, P.G. Kevrekidis, D.H. Barnak. Phys Rev. E. 81 (4), 046605 (2010).

8. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, J. S. Aitchison. Phys. Rev. Lett. 81, 3383 (1998).

9. S. A. Kiselev, S. R. Bickham, A. J. Sievers. Phys. Rev. B. 50, 9135 (1994).

10. S. A. Kiselev, A. J. Sievers. Phys. Rev. Lett. 55 (9) 5755 (1997).

11. S. V. Dmitriev. Letters on Materials. 1 (2), 78 (2011).

12. A. A. Kistanov, S. V. Dmitriev. Physics of the Solid State. 54 (8), 1648 (2012).

13. A. A. Kistanov, R. T. Murzaev, S. V. Dmitriev, V. I. Dubinko, V. V. Khizhnyakov. JETP Letters. 99 (6), 353 (2014).

14. S. V. Dmitriev, A. A. Kistanov, V. I. Dubinko. Moving Discrete Breathers in 2D and 3D Crystals in “Quodons in Mica” (J. F. R. Archilla, N. Jeménez, V. J. Sánchez-Morcillo, L. M. García-Raffi. eds.), pp.205 - 227 (2015).

15. R. T. Murzaev, A. A. Kistanov, V. I. Dubinko, D. A. Terentyev, S. V. Dmitriev. Computational Material Science. 98, 88 (2015).

16. M. D. Starostenkov, A. I. Potekaev, S. V. Dmitriev, P.V. Zakharov, A.M. Erimin, V. V. Kulagina. Russian Physics Journal. 58 (9), 1353 (2016).

17. J. L. Marín, J. C. Eilbeck, F. M. Russel, Phys. Lett. A. 248, 225 (1998).

18. J. Cuevas, C. Katerji, J. F. R. Archilla, J. C. Eilbeck, F. M. Russel. Phys. Lett. A. 315, 364 (2003).

19. J. Bajars, J. C. Eilbeck, B. Leimkuhler. Physica D. 301 - 302, 8 (2015).

20. J. Bajars, J. C. Eilbeck, B. Leimkuhler. Numerical Simulations of Nonlinear Modes in Mica: Past, Present and Future in “Quodons in Mica” (J. F. R. Archilla, N. Jeménez, V. J. Sánchez-Morcillo, L. M. García-Raffi. eds.), pp 35 - 67 (2015).

21. J. A. Baimova, E. A. Korznikova, I. P. Lobzenko, S. V. Dmitriev. Reviews on Advanced Materials Science. 42 (1), 68 (2015).

22. Y. Yamayose, Y. Kinoshita, Y. Doi, A. Nakatani, T. Kitamura. EPL. 80, 40008 (2007).

23. Y. Doi, A. Nakatani. Journal of Solid Mechanics and Materials Engineering. 6 (1), 71 (2012).

24. E. A. Korznikova, A. V. Savin, Yu. A. Baimova, S. V. Dmitriev, R. R. Mulyukov. JETP Letters. 96 (4), 222 (2012).

25. J. A. Baimova, S. V. Dmitriev. Russian Physics Journal. 58 (6), 785 (2015).

26. Y. Kinoshita, Y. Yamayose, Y. Doi, A. Nakatani, T. Kitamura. Phys. Rev. B. 77, 024307 (2008).

27. T. Shimada, D. Shirasaki, Y. Kinoshita, Y. Doi, A. Nakatani, T. Kitamura. Physica D. 239, 407 (2010).

28. Y. Doi, A. Nakatani. Proc. of 2015 International Symposium of Nonlinear Theory and its Applications (NOLTA2015). Hong Kong. No. 6259 (2015).

29. T. Shimada, D. Shirasaki, T. Kitamura. Phys. Rev. B. 81, 035401 (2010).

30. D. W. Brenner. Phys. Rev. B. 42 (15), 9458 (1990).

1.

I. Evazzade, Ivan P. Lobzenko, Elena A. Korznikova, Ilya A. Ovid'ko, M. Roknabadi, Sergey V. Dmitriev. Phys. Rev. B. 95(3) (2017). Crossref

2.

M. Kimura, A. Mitani, S. Doi. NOLTA. 8(2), 153 (2017). Crossref

3.

E. Barani, Elena A. Korznikova, Alexander P. Chetverikov, K. Zhou, Sergey V. Dmitriev. Physics Letters A. 381(41), 3553 (2017). Crossref

4.

V. Dubinko, D. Laptev, D. Terentyev, Sergey V. Dmitriev, K. Irwin. Computational Materials Science. 158, 389 (2019). Crossref

5.

E. Barani, Ivan P. Lobzenko, Elena A. Korznikova, Elvira G. Soboleva, Sergey V. Dmitriev, K. Zhou, A. Marjaneh. Eur. Phys. J. B. 90(3) (2017). Crossref

6.

Elena A. Korznikova, Dmitry V. Bachurin, Sergey Yu. Fomin, Alexander P. Chetverikov, Sergey V. Dmitriev. Eur. Phys. J. B. 90(2) (2017). Crossref

7.

Sergey V. Dmitriev, Julia A. Baimova, Elena A. Korznikova, Alexander P. Chetverikov. Understanding Complex Systems: Nonlinear Systems, Vol. 2, Chapter 7, p.175 (2018). Crossref

8.

I. Evazzade, M. Roknabadi, M. Behdani, F. Moosavi, D. Xiong, K. Zhou, Sergey V. Dmitriev. Eur. Phys. J. B. 91(7) (2018). Crossref

9.

M. Gzal, O. V. Gendelman. Nonlinear Dyn. 99(1), 661 (2020). Crossref

10.

B. Mozola, C. Tabi, T. Kofané. Wave Motion. 94, 102511 (2020). Crossref

11.

E. Parasuraman. Wave Motion. 83, 188 (2018). Crossref

12.

Y. Watanabe, S. Izumi. J. Phys. Soc. Jpn. 90(1), 014003 (2021). Crossref

13.

T. da Costa Oliveira, S. Nascimento. Advances in Bioelectrochemistry Volume 5, Chapter 3, p.85 (2023). Crossref

14.

E. Parasuraman. Eur. Phys. J. Plus. 137(10) (2022). Crossref

Оценка и влияние армирования многослойных углеродных нанотрубок в нанокомпозитных покрытиях Ni-Al2O3 и Ni-SiC с использованием метода импульсного обратного электроосаждения

К. Венкатеш Раджа, А. Ранджит Кумар, С. Нарен

Structure and stability of discrete breather in zigzag and armchair carbon nanotubes

Аннотация

Ссылки (30)

Цитирования (14)

Другие статьи на эту тему

Discrete breathers in crystals: achievements and open problems

Existence and stability of intrinsic localized modes in a finite FPU chain placed in three-dimensional space

Super square carbon nanotube networks: mechanical properties and electric conductivity

Общая информация

Читателю

Автору

Рецензенту