Skip to main content
Log in

Role of defects in the kink mechanism of state switching

  • Low-Dimensional Systems
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

State switching occurring via the kink mechanism in linear systems has been described considering the effect of defects forming centers of enhanced kink pair nucleation and obstacles for kink propagation. An equation describing the switching kinetics has been derived considering the stochastic nature of kink pair formation in time and the random distribution of defects in space. Using this equation, the average switching time has been calculated as a function of the defect density and delay times caused by defects, and the ranges of parameters with domination of this or that defect type have been determined. The theory has been applicable to magnetic nanowires, dislocations, biological macromolecules, and many other systems.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Hrkac, J. Dean, and D. A. Allwood, Philos. Trans. R. Soc. London, Ser. A 369, 3214 (2011).

    Article  ADS  Google Scholar 

  2. B. V. Petukhov, in Crystal Lattice Defects and Dislocation Dynamics, Ed. by R. A. Vardanian (Nova Science, Huntington, New York, 2000); http://ns.crys.ras.ru/~petukhov

    Google Scholar 

  3. M. G. Gauthier, J. Herrick, and J. Bechhoefer, Phys. Rev. Lett. 104, 218104 (2010).

    Article  ADS  Google Scholar 

  4. P. Kraikivski, R. Lipowsky, and J. Kierfeld, Eur. Phys. J. E 16, 319 (2005).

    Article  Google Scholar 

  5. R. M. Zakalyukin, L. N. Dem’yanets, N. A. Kiselev, A. S. Kumskov, M. B. Kislov, A. V. Krestinin, and J. L. Hutchison, Crystallogr. Rep. 55(3), 507 (2010).

    Article  ADS  Google Scholar 

  6. J. H. Warner, S. R. Plant, N. P. Young, K. Porfyrakis, A. I. Kirkland, and G. A. D. Briggs, ACS Nano 5, 1410 (2011).

    Article  Google Scholar 

  7. J. Briones, F. Montaigne, M. Hehn, D. Lacour, J. R. Childress, and M. J. Carey, Phys. Rev. B: Condens. Matter 83, 060401(R) (2011).

    Article  ADS  Google Scholar 

  8. W. Wernsdorfer, B. Doudin, D. Mailly, K. Hasselbach, A. Benoit, J. Meier, J.-Ph. Ansermet, and B. Barbara, Phys. Rev. Lett. 77, 1873 (1996).

    Article  ADS  Google Scholar 

  9. E. Pink and R. J. Arsenault, Prog. Mater. Sci. 24, 1 (1979).

    Article  Google Scholar 

  10. P. Lendecke and G. Meier, J. Phys.: Condens. Matter. 24, 024207 (2012).

    Article  ADS  Google Scholar 

  11. R. G. P. McQuaid, M. McMillen, L.-W. Chang, A. Gruverman, and J. M. Gregg, J. Phys.: Condens. Matter 24, 024204 (2012).

    Article  ADS  Google Scholar 

  12. B. V. Petukhov, Phys. Solid State 54(6), 1289 (2012).

    Article  ADS  Google Scholar 

  13. B. V. Petukhov, JETP 114(6), 988 (2012).

    Article  ADS  Google Scholar 

  14. B. V. Petukhov, Sov. Phys. Solid State 25(6), 1048 (1983).

    Google Scholar 

  15. A. N. Kolmogorov, Izv. Akad. Nauk SSSR, Ser. Mat. 3, 355 (1937).

    Google Scholar 

  16. W. A. Johnson and P. A. Mehl, Trans. Am. Inst. Min., Metall. Pet. Eng. 135, 416 (1939).

    Google Scholar 

  17. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1: Elementary Functions (Nauka, Moscow, 1981; Gordon and Breach, New York, 1986).

    Google Scholar 

  18. B. V. Petukhov, Crystallogr. Rep. 52(1), 112 (2007).

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. V. Petukhov.

Additional information

Original Russian Text © B.V. Petukhov, 2012, published in Fizika Tverdogo Tela, 2012, Vol. 54, No. 12, pp. 2366–2371.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petukhov, B.V. Role of defects in the kink mechanism of state switching. Phys. Solid State 54, 2491–2496 (2012). https://doi.org/10.1134/S106378341212027X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106378341212027X

Keywords

Navigation