Skip to main content
SpringerLink
Log in

Discrete breathers in biatomic crystals of AB and A 3 B composition

  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The conditions for the existence of discrete breathers (DBs) in biatomic crystals of AB and A 3 B composition are established, and their properties are studied by means of molecular mechanics using the examples of CuAu and Pt3Al, respectively. The phonon spectra of the crystals are analyzed, and a gap in the phonon spectrum of CuAu is obtained via considerable homogeneous elastic strain. There is a gap in the phonon spectrum of the Pt3Al crystal at zero strain, due to the considerable difference between the atomic weights of its components. The frequencies at which discrete breathers can exist in the considered crystals are determined. The energy localized on different types of DBs is estimated. The propagation of a current pulse through Pt3Al resulting in the excitation of DBs with mild nonlinearity is simulated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sievers, A.J. and Takeno, S., Phys. Rev. Lett., 1988, vol. 61, p. 970.

    Article  ADS  Google Scholar 

  2. Chechin, G.M., Dzhelauhova, G.S., and Mehonoshina, E.A., Phys. Rev. E, 2006, vol. 74, p. 036608.

    Article  ADS  MathSciNet  Google Scholar 

  3. Dubinko, V.I. and Piazza, F., Lett. Mater., 2014, vol. 4, no. 4, p. 273.

    Article  Google Scholar 

  4. Kistanov, A.A., Dmitriev, S.V., Semenov, A.S., Dubinko, V.I., Terent’ev, D.A., Tech. Phys. Lett., 2014, vol. 40, no. 8, p. 657.

    Article  ADS  Google Scholar 

  5. Velarde, M.G., J. Comput. Appl. Math., 2010, vol. 233, p. 1432.

    Article  ADS  MathSciNet  Google Scholar 

  6. Archilla, J.F.R., Coelho, S.M.M., Auret, F.D., et al., Phys. D, 2015, vol. 297, p. 56.

    Article  Google Scholar 

  7. Dubinko, V.I. and Dubinko, A.V., Nucl. Instrum. Methods Phys. Res., Sect. B, 2013, vol. 303, p. 133.

    Article  ADS  Google Scholar 

  8. Kistanov, A.A., Dmitriev, S.V., Chetverikov, A.P., and Velarde, M.G., Eur. Phys. J. B, 2014, vol. 87, no. 9, p. 211.

    Article  ADS  Google Scholar 

  9. Dmitriev, S.V, Korznikova, E.A., Baimova, Yu.A., and Velarde, M.G., Phys.-Usp., 2016, vol. 59, p. 446.

    Article  ADS  Google Scholar 

  10. Zakharov, P.V., Starostenkov, M.D., Dmitriev, S.V., Medvedev, N.N., and Eremin, A.M., J. Exp. Theor. Phys., 2015, vol. 121, no. 2, p. 217.

    Article  ADS  Google Scholar 

  11. Starostenkov, M.D., Potekaev, A.I., Dmitriev, S.V., Zakharov, P.V., Eremin, A.M., and Kulagina, V.V., Russ. Phys. J., 2016, vol. 58, no. 9, p. 1353.

    Article  Google Scholar 

  12. Zakharov, P.V., Starostenkov, M.D., Medvedev, N.N., et al., Fundam. Probl. Sovrem. Materialoved., 2014, vol. 11, no. 4, p. 533.

    Google Scholar 

  13. Liu, B., Baimova, J.A., Dmitriev, S.V., et al., J. Phys. D: Appl. Phys., 2013, vol. 46, p. 305.

    Google Scholar 

  14. Murzaev, R.T., Kistanov, A.A., Dubinko, V.I., et al., Comput. Mater. Sci., 2015, vol. 98, p. 88.

    Article  Google Scholar 

  15. Zakharov, P.V., Starostenkov, M.D., Eremin, A.M., Korznikova, E.A., Dmitriev, S.V., Phys. Solid State, 2017, vol. 59, no. 2, p. 223.

    Article  ADS  Google Scholar 

  16. Jin, W., Fan, J., Zhang, H., et al., J. Alloys Compd., 2015, vol. 646, p. 1.

    Article  Google Scholar 

  17. Ye, X., Kuang, J., Li, X., and Tang, G., J. Alloys Compd., 2014, vol. 599, p. 1.

    Article  Google Scholar 

  18. Liu, K., Dong, X., Xie, H., et al., J. Alloys Compd., 2016, vol. 676, p. 106.

    Article  Google Scholar 

  19. Stolyarov, V.V., Mater. Sci. Eng., 2009, vol. 503, p. 18.

    Article  Google Scholar 

  20. Potapova, A.A. and Stolyarov, V.V., Mater. Sci. Eng., 2013, vol. 579, p. 114.

    Article  Google Scholar 

  21. Wanga, H., Songa, G., and Tang, G., J. Alloys Compd., 2016, vol. 681, p. 146.

    Article  Google Scholar 

  22. Dubinko, V.I., Dovbnya, A.N., Kushnir, V.A., Khodak, I.V., Lebedev, V.P., Krylovskiy, V.S., Lebedev, S.V., Klepikov, V.F., and Ostapchuk, P.N., Phys. Solid State, 2012, vol. 54, p. 2442.

    Article  ADS  Google Scholar 

  23. Klinger, L., Levin, L., and Srolovitz, O., J. Appl. Phys., 1996, vol. 79, p. 6834.

    Article  ADS  Google Scholar 

  24. Goldstein, R.V., Makhviladze, T.M., and Sarychev, M.E., J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech., 2015, vol. 9, p. 67.

    Article  Google Scholar 

  25. Goldstein, R.V., Makhviladze, T.M., and Sarychev, M.E., Lett. Mater., 2016, vol. 6, p. 98.

    Article  Google Scholar 

  26. Maroudas, D., Surf. Sci. Rep., 2011, vol. 66, p. 299.

    Article  ADS  Google Scholar 

  27. Korznikova, E.A., Baimova, J.A., and Dmitriev, S.V., Europhys. Lett., 2013, vol. 102, p. 60004.

    Article  ADS  Google Scholar 

  28. Korznikova, E.A., Savin, A.V., Baimova, Yu.A., Dmitriev, S.V., and Mulyukov, R.R., JETP Lett., 2012, vol. 96, p. 222.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shukshin Altai State Humanities Pedagogical University, Biysk, 659333, Russia

    P. V. Zakharov

  2. Polzunov Altai State Technical University, Barnaul, 656038, Russia

    P. V. Zakharov & M. D. Starostenkov

  3. Institute for Problems of Metal Superplasticity, Russian Academy of Sciences, Ufa, Bashkorstostan, 450001, Russia

    S. V. Dmitriev

  4. National Research Tomsk State University, Tomsk, 634050, Russia

    S. V. Dmitriev

Authors
  1. P. V. Zakharov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. D. Starostenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. V. Dmitriev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. V. Zakharov.

Additional information

Original Russian Text © P.V. Zakharov, M.D. Starostenkov, S.V. Dmitriev, 2017, published in Izvestiya Rossiiskoi Akademii Nauk, Seriya Fizicheskaya, 2017, Vol. 81, No. 11, pp. 1471–1476.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zakharov, P.V., Starostenkov, M.D. & Dmitriev, S.V. Discrete breathers in biatomic crystals of AB and A 3 B composition. Bull. Russ. Acad. Sci. Phys. 81, 1322–1326 (2017). https://doi.org/10.3103/S1062873817110211

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873817110211

Search

Navigation