Skip to main content
Log in

On the Possibility of Superconductivity in Bilayer Heterostructures

  • Condensed Matter
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

A model is created for bilayer heterostructures in a strong magnetic field which makes it possible to neglect the Coulomb interaction. The thermodynamic instability of states of the electron system in a strong magnetic field leads to the formation of a periodic vortex lattice. The case is considered where the electron density is close to the density of the half-filled Landau level. An electron spectrum is found and an analog of the Cooper effect appearing under the Bogoliubov canonical transformation for electron Fermi operators is studied.

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. New Perspectives in QHE, Ed. by S. Das Sarma and A. Pinczuk (Wiley, New York, 1997).

  2. S. M. Girvin and A. H. Mac Donald, in New Perspectives in QHE, Ed. by S. Das Sarma and A. Pinczuk (Wiley, New York, 1997).

  3. S. Luin, V. Pellegrini, A. Pinczuk, B. S. Dennis, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 94, 146804 (2005).

    Article  ADS  Google Scholar 

  4. S. V. Iordanskii, JETP Lett. 99, 523 (2014).

    Article  ADS  Google Scholar 

  5. S. V. Iordansky and D. S. Lubshin, J. Phys. Condens. Matter 21, 45661 (1981).

    Google Scholar 

  6. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1972; Pergamon, New York, 1977).

  7. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon, New York, 1984).

  8. I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 84, 5808 (2000).

    Article  ADS  Google Scholar 

  9. G. L. Bir and G. E. Pikus, Symmetry and Stain-Induced Effects in Semiconductors (Nauka, Moscow, 1972; Wiley, New York, 1975).

    Google Scholar 

  10. N. N. Bogolyubov, Sov. Phys. JETP 7, 41 (1958).

    Google Scholar 

  11. A. A. Abrikosov and I. M. Khalatnikov, Adv. Phys. 8, 45 (1959).

    Article  ADS  Google Scholar 

  12. A. A. Abrikosov, Fundamentals of the Theory of Metals (North-Holland, Amsterdam, 1988; Fizmatlit, Moscow, 2009).

    Google Scholar 

  13. L. D. Landau, J. Phys. (USSR) 5, 71 (1941).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. V. Iordansky.

Additional information

Original Russian Text © S.V. Iordansky, 2018, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 107, No. 3, pp. 203–205.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Iordansky, S.V. On the Possibility of Superconductivity in Bilayer Heterostructures. Jetp Lett. 107, 200–202 (2018). https://doi.org/10.1134/S0021364018030086

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364018030086

Navigation