Zitterbewegung damping in structures based on Dirac crystals

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription or Fee Access

Abstract

The possibilities of controlling the time of damping of Zitterbewegung oscillations in graphene and graphene superlattice have been investigated. The decay time of Zitterbewegung oscillations in graphene in the presence of high-frequency radiation has been calculated. An increase in the duration of the Zitterbewegung with the inclusion of an alternating field has been explicitly demonstrated. The decay time of the Zitterbewegung for a graphene superlattice has been shown to be controlled by changing the ratio between the period of the superlattice and the width of the electron wave packet.

Full Text

Restricted Access

About the authors

E. I. Kukhar

Volgograd State Technical University

Author for correspondence.
Email: eikuhar@yandex.ru
Russian Federation, Volgograd

S. V. Kryuchkov

Volgograd State Technical University; Volgograd State Socio-Pedagogical University

Email: eikuhar@yandex.ru
Russian Federation, Volgograd; Volgograd

N. A. Ivanov

Volgograd State Technical University

Email: eikuhar@yandex.ru
Russian Federation, Volgograd

References

  1. Katsnelson M.I., Novoselov K.S., Geim A.K. // Nature Phys. 2006. V. 2. P. 620.
  2. Romanovsky I., Yannouleas C., Landman U. // Phys. Rev. B. 2013. V. 87. Art. No. 165431.
  3. Kim Y., Lee J.D. // Mater. Today Phys. 2021. V. 21. Art. No. 100525.
  4. Schliemann J., Loss D., Westervelt R.M. // Phys. Rev. Lett. 2005. V. 94. Art. No. 206801.
  5. Фирсова Н.Е., Ктиторов С.А. // ФТТ. 2021. Т. 63. № 2. С. 277; Firsova N.E., Ktitorov S.A. // Phys. Solid State. 2021. V. 63. No. 2. P. 313.
  6. Iwasaki Y., Hashimoto Y., Nakamura T. et al. // J. Phys. Conf. Ser. 2017. V. 864. Art. No. 012054.
  7. Katsnelson M.I. // Europ. Phys. J. B. 2006. V. 51. P. 157.
  8. Cserti J., Dávid G. // Phys. Rev. B. 2006. V. 74. Art. No. 172305.
  9. Oriekhov D.O., Gusynin V.P. // Phys. Rev. B. 2022. V. 106. Art. No. 115143.
  10. Rusin T.M., Zawadzki W. // Phys. Rev. B. 2013. V. 88. Art. No. 235404.
  11. Reck P., Gorini C., Richter K. // Phys. Rev. B. 2020. V. 101. Art. No. 094306.
  12. Oka T., Aoki H. // Phys. Rev. B. 2009. V. 79. Art. No. 081406.
  13. Junk V., Reck P., Gorini C., Richter K. // Phys. Rev. B. 2020. V. 101. Art. No. 134302.
  14. Reck P., Gorini C., Richter K. // Phys. Rev. B. 2018. V. 98. Art. No. 125421.
  15. Крючков С.В., Кухарь Е.И. // Опт. и спектроск. 2023. Т. 131. № 2. С. 297.
  16. Kibis O.V., Morina S., Dini K. et al. // Phys. Rev. B. 2016. V. 93. Art. No. 115420.
  17. Diago-Cisneros L., Serna E., Vargas I.R. et al. // J. Appl. Phys. 2019. V. 125. Art. No. 203902.
  18. Garraway B.M., Suominen K.A. // Rep. Prog. Phys. 1995. V. 58. P. 365.
  19. Huber R., Liu M.–H., Chen S.–C., et al. // Nano Lett. 2020. V. 21. P. 8046.
  20. Fernandes D.E. // Phys. Rev. B. 2023. V. 107. Art. No. 085119.
  21. Oubram O., Sadoqi M., Cisneros-Villalobos L. et al. // J. Phys. Cond. Matter. 2023. V. 35. No 26. Art. No. 265301.
  22. Kamal A., Jellal A. // Physica E. 2021. V. 125. Art. No. 114193.
  23. Krueckl V., Richter K. // Phys. Rev. B. 2012. V. 85. Art. No. 115433.

Supplementary files

Supplementary Files
Action
1. JATS XML
Download
2. Fig. 1. Electron group velocity in graphene as a function of time in the presence (solid line) and in the absence (dashed line) of RF radiation. 1) E0 = 0.5 kV - m-1; 2) E0 = 1.0 kV - m-1; 3) E0 = 2.0 kV - m-1

Download (122KB)
Indexing metadata
3. Fig. 2. Electron group velocity in the GSR as a function of time for d:b = 1:10 (solid line) and d = b (dashed line). 1) Centre of the mini-zone; 2) ceiling of the mini-zone

Download (192KB)
Indexing metadata

Copyright (c) 2024 Russian Academy of Sciences