Skip to main content
SpringerLink
Log in

Influence of temperature on the oscillations of longitudinal magnetoresistance in semiconductors with a nonparabolic dispersion law

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

The density of energy states were obtained in a quantizing magnetic field at different temperature and for nonquadratic dispersion law. The dependence of the density of energy states on temperature in quantizing magnetic fields is studied with the nonquadratic dispersion law. The continuous spectrum of the energy density of states at low temperature is transformed into discrete Landau levels. The theory of the temperature dependence of the oscillation Shubnikov–de Haas in semiconductors with a nonparabolic dispersion law is constructed, taking into account the thermal broadening of the Landau levels. The cyclotron effective mass of the electrons is determined from the Shubnikov–de Haas data. The theoretical results are compared with experimental data in Bi1.99Tl0.01Se3.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. N T Bagraev, L E Klyachkin, A A Kudryavtsev, A M Malyarenko and V V Romanov Semiconductors 43 1441 (2009)

    Article  ADS  Google Scholar 

  2. N T Bagraev, O N Gimbitskaya, L E Klyachkin, A A Kudryavtsev, A M Malyarenko, V V Romanov, A I Ryskin and A S Shcheulin Semiconductors 44 1328 (2010)

    Article  ADS  Google Scholar 

  3. N T Bagraev, E S Brilinskaya, E Yu Danilovskii, L E Klyachkin, A M Malyarenko and V V Romanov Semiconductors 46 87 (2012)

    Article  ADS  Google Scholar 

  4. B K Ridley Quantum Processes in Semiconductors (Oxford: Clarendon Press) p 436 (1999)

    Google Scholar 

  5. G Gulyamov, U I Erkaboev, N Yu Sharibaev Semiconductors 48 1287 (2014)

    Article  ADS  Google Scholar 

  6. G Gulyamov, U I Erkaboev and N Yu Sharibaev J. Mod. Phys. 5 680 (2014)

    Article  Google Scholar 

  7. G Gulyamov, U I Erkaboev and N Yu Sharibaev Mod. Phys. Lett. B 30, Article ID 1650077 (2016)

  8. G Gulyamov, N Yu Sharibaev Semiconductors 45, 174 (2011)

    Article  ADS  Google Scholar 

  9. G Gulyamov, I N Karimov, N Yu Sharibaev and U I Erkaboev Uzbek J. Phys. 12 143 (2010)

    Google Scholar 

  10. J Ziman Principles of the Theory of Solids (Cambridge University, Cambridge, 1976; Mir, Moscow, 1974), ch 9, p 349

  11. I M Lifshits, M Ya Azbel’ and M I Kaganov Electron Theory of Metals (Nauka, Moscow, 1971; Consultants Bureau, Adam Hilger, New York, 1973), pt 2, p 119

  12. N B Brandt, V A Kulbachinsky Quasiparticles in Condensed Matter Physics (Moscow: Fizmatlit) (2007) ch 6, p 290 (in Russian)

  13. I M Tsidilkovsky Electrons and Holes in Semiconductors (Moscow: Nauka) (1972) ch 5, p 457 (in Russian)

  14. I V Kukushkin, S V Meshkov, V B Timofeev Physics-Uspekhi 31 511 (1988)

    Article  Google Scholar 

  15. A I Anselm Introduction to the Theory of Semiconductors (Moscow: Nauka) Chapter 8, p 492 (1978)

  16. T Kim, M Jung and K H Yoo J. Phys. Chem. Sol. 61 1769 (2002)

    Article  ADS  Google Scholar 

  17. T Ando, A Fowler and F Stern, Rev. Mod. Phys. 54 437 (1982)

    Article  ADS  Google Scholar 

  18. D Schoenberg Magnetic Oscillations in Metals (Moscow, Mir) (1986)

    Google Scholar 

  19. A A Kudryashov, V G Kytin, R A Lunin, V A Kulbachinskii and A Banerjee Semiconductors 50 869 (2016)

    Article  ADS  Google Scholar 

  20. V A Kulbachinskii, N Miura, H Nakagawa, H Arimoto, T Ikaida, P Lostak and C Drasar. Phys. Rev. B 59 733 (1999)

    Article  Google Scholar 

  21. N P Butch, K Kirshenbaum, P Syers, A B Sushkov, G S Jenkins, H D Drew and J Paglione Phys. Rev. B 81 1301 (2010)

    Google Scholar 

  22. K Eto, Z Ren, A A Taskin, K Segawa and Y Ando Phys. Rev. B 81 5309 (2010)

    ADS  Google Scholar 

  23. H Cao, J Tian, I Miotkowski, T Shen, J Hu, S Qiao and Y P Chen Phys. Rev. Lett. 108 6803 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Namangan Engineering-Technology Institute, Namangan, Uzbekistan, 160115

    G. Gulyamov, U. I. Erkaboev & A. G. Gulyamov

  2. Namangan Engineering-Construction Institute, Namangan, Uzbekistan, 160103

    G. Gulyamov & A. G. Gulyamov

  3. Physico-technical Institute, NGO “Physics-Sun”, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan, 100084

    U. I. Erkaboev

Authors
  1. G. Gulyamov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. U. I. Erkaboev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. G. Gulyamov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to U. I. Erkaboev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gulyamov, G., Erkaboev, U.I. & Gulyamov, A.G. Influence of temperature on the oscillations of longitudinal magnetoresistance in semiconductors with a nonparabolic dispersion law. Indian J Phys 93, 639–645 (2019). https://doi.org/10.1007/s12648-018-1331-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-018-1331-0

Keywords

PACS Nos.

Search

Navigation