Skip to main content
SpringerLink
Log in

Topological characteristics of electronic spectra of single crystals

  • Solids
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The paper considers the topological characteristics of dispersion functions ɛs(p) in energy bands in single crystals related to classical electron trajectories in uniform magnetic fields. Specifically, the topological properties of open trajectories in p-space on various energy levels within one energy band and related physical effects are described.

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. S. P. Novikov and A. Ya. Maltsev, JETP Lett. 63, 855 (1996).

    Article  ADS  Google Scholar 

  2. I. M. Lifshits, M. Ya. Azbel’, and M. I. Kaganov, Zh. Éksp. Teor. Fiz. 31, 63 (1956) [Sov. Phys. JETP 4, 41 (1957)].

    Google Scholar 

  3. I. M. Lifshits and V. G. Peschanskii, Zh. Éksp. Teor. Fiz. 35, 1251 (1958) [Sov. Phys. JETP 8, 875 (1959)].

    Google Scholar 

  4. I. M. Lifshits and V. G. Peschanskii, Zh. Éksp. Teor. Fiz. 38, 188 (1960) [Sov. Phys. JETP 11, 137 (1960)].

    Google Scholar 

  5. N. E. Alekseevskii and Yu. P. Gaidukov, Zh. Éksp. Teor. Fiz. 35, 554 (1958) [Sov. Phys. 8, 383 (1959)].

    Google Scholar 

  6. N. E. Alekseevskii and Yu. P. Gaidukov, Zh. Éksp. Teor. Fiz. 36, 447 (1959) [Sov. Phys. JETP 9, 311 (1959)].

    Google Scholar 

  7. N. E. Alekseevskii and Yu. P. Gaidukov, Zh. Éksp. Teor. Fiz. 37, 672 (1959) [Sov. Phys. JETP 10, 481 (1960)].

    Google Scholar 

  8. Yu. P. Gaidukov, Zh. Éksp. Teor. Fiz. 37, 1281 (1959) [Sov. Phys. JETP 10, 913 (1960)].

    Google Scholar 

  9. I. M. Lifshits, M. Ya. Azbel’, and M. I. Kaganov, Electron Theory of Metals, Consultants Bureau, New York, (1973).

    Google Scholar 

  10. S. P. Novikov, Usp. Mat. Nauk 37, 3 (1982).

    MATH  Google Scholar 

  11. S. P. Novikov, Trudy MIAN 166, 201 (1984).

    MATH  Google Scholar 

  12. S. P. Novikov, in Proceedings of the Conf. on Topological Methods in Mathematics dedicated to the 60th birthday of J. Milnor, June 15–22, 1991, S.U. N.Y. Stony Brook (1993).

  13. S. P. Novikov, in Proceedings of Conf. on Geometry, December 15–26, 1993, Tel Aviv University (1995).

  14. A. V. Zorich, Usp. Mat. Nauk 39, 235 (1984).

    MATH  MathSciNet  Google Scholar 

  15. I. A. Dynnikov, Usp. Mat. Nauk 47, 161 (1992).

    MATH  MathSciNet  Google Scholar 

  16. I. A. Dynnikov, Usp. Mat. Nauk 48, 179 (1993).

    MATH  MathSciNet  Google Scholar 

  17. I. A. Dynnikov, Mat. zametki 53, 57 (1993).

    MATH  MathSciNet  Google Scholar 

  18. I. A. Dynnikov, submitted to Advances in Soviet Math. (1997).

  19. I. A. Dynnikov, Surfaces in 3-Torus: Geometry of Plane Sections, Proceedings of ECM2, BuDA (1996).

  20. S. P. Tsarev, private communication (1992–93).

Download references

Author information

Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, 119899, Moscow, Russia

    I. A. Dynnikov

  2. L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow Region, Russia

    A. Ya. Maltsev

Authors
  1. I. A. Dynnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Ya. Maltsev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Zh. Éksp. Teor. Fiz. 112, 371–378 (July 1997)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dynnikov, I.A., Maltsev, A.Y. Topological characteristics of electronic spectra of single crystals. J. Exp. Theor. Phys. 85, 205–208 (1997). https://doi.org/10.1134/1.558309

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.558309

Keywords

Search

Navigation