Skip to main content
SpringerLink
Log in

Renormalization of the Excitation Spectrum and the Migdal Effect in a 2D Electron System with Strong Interaction

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

Abstract

The dependence of the Fermi energy of quasiparticles on the electron concentration is studied from analysis of the spectra of radiative recombination of 2D electrons with photoexcited holes bound at remote acceptors; in this way, the dependence of the renormalized mass of quasiparticles on the 2D electron concentration is determined. It is found that upon a decrease in the electron concentration (with decreasing parameter rs to 4.5), the effective mass of the density of quasiparticle states increases by 35% as compared to the cyclotron mass of electrons. It is shown that in a transverse magnetic field, the concept of quasiparticles in a 2D Fermi liquid is preserved not only near the Fermi surface, but at a large depth under it (down to the bottom of the size-quantization band) because the broadening of excitations turns out to be much smaller than their energy. It is found that the mass of quasiparticles as well as their broadening noticeably depend on their energy measured from the Fermi surface to the bulk down to the very bottom of the size-quantization band. The Migdal effect is detected: in the regime of the strong electron–electron interaction at a very low temperature (25 mK), the electron distribution function acquires tails on both sides of the Fermi energy (EF); in addition, for E = EF, a sharp jump is observed in the electron distribution function. It is shown that upon a decrease in the 2D electron concentration, the contribution of the tails detected in the distribution function increases, and amplitude Z of the Migdal jump decreases significantly. The dependence of the Migdal jump amplitude on the electron concentration is investigated experimentally.

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.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.
Fig. 11.

Similar content being viewed by others

REFERENCES

  1. L. D. Landau, Sov. Phys. JETP 3, 920 (1956).

    Google Scholar 

  2. L. D. Landau, Sov. Phys. JETP 5, 101 (1957).

    Google Scholar 

  3. V. P. Silin, Sov. Phys. JETP 7, 538 (1958).

    Google Scholar 

  4. P. Nozieres and J. M. Luttinger, Phys. Rev. 127, 1423 (1962).

    Article  ADS  MathSciNet  Google Scholar 

  5. R. Freedman, Phys. Rev. B 18, 2482 (1978).

    Article  ADS  Google Scholar 

  6. C. Chamon, E. R. Mucciolo, and A. H. Castro Neto, Phys. Rev. B 64, 245115 (2001).

  7. Yu. A. Bychkov and A. V. Kolesnikov, JETP Lett. 58, 352 (1993).

    ADS  Google Scholar 

  8. A. B. Migdal, Sov. Phys. JETP 5, 333 (1957).

    MathSciNet  Google Scholar 

  9. A. A. Abrikosov and I. M. Khalatnikov, Sov. Phys. JETP 6, 888 (1957).

    ADS  Google Scholar 

  10. P. T. Coleridge, M. Hayne, P. Zawadzki, and A. S. Sachrajda, Surf. Sci. 361–362, 560 (1996).

    Article  ADS  Google Scholar 

  11. V. M. Pudalov, M. E. Gershenson, H. Kojima, N. Butch, E. M. Dizhur, G. Brunthaler, A. Prinz, and G. Bauer, Phys. Rev. Lett. 88, 196404 (2002).

  12. A. A. Shashkin, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, Phys. Rev. B 66, 073303 (2002).

  13. A. A. Shashkin, M. Rahimi, S. Anissimova, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, Phys. Rev. Lett. 91, 046403 (2003).

  14. Y. W. Tan, J. Zhu, H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 94, 016405 (2005).

  15. E. M. Lifshits and L. P. Pitaevski, Course of Theoretical Physics, Vol. 9: Statistical Physics, Part 2 (Nauka, Moscow, 1978; Pergamon, New York, 1980).

  16. V. T. Dolgopolov, JETP Lett. 101, 282 (2015).

    Article  ADS  Google Scholar 

  17. V. M. Pudalov, M. E. Gershenson, and H. Kojima, Phys. Rev. B 90, 075147 (2014).

  18. I. V. Kukushkin and V. B. Timofeev, Adv. Phys. 45, 147 (1996).

    Article  ADS  Google Scholar 

  19. I. V. Kukushkin, R. J. Haug, K. von Klitzing, K. Eberl, and K. Totemeyer, Phys. Rev. B 50, 11259 (1994).

    Article  ADS  Google Scholar 

  20. I. V. Kukushkin, K. von Klitzing, K. Ploog, V. E. Kirpichev, and B. N. Shepel, Phys. Rev. B 40, 4179 (1989).

    Article  ADS  Google Scholar 

  21. W. R. Clarke, C. E. Yasin, A. R. Hamilton, A. P. Micolich, M. Y. Simmons, K. Muraki, Y. Hiroyama, M. Pepper, and D. A. Ritchie, Nat. Phys. 4, 55 (2008).

    Article  Google Scholar 

  22. V. M. Apal’kov and E. I. Rashba, JETP Lett. 53, 442 (1991).

    ADS  Google Scholar 

  23. I. V. Kukushkin, J. H. Smet, S. A. Mikhailov, D. V. Kulakovskii, K. von Klitzing, and W. Wegscheider, Phys. Rev. Lett. 90, 156801 (2003).

  24. M. A. Hopkins, R. J. Nicholas, M. A. Brummel, J. J. Harris, and C. T. Foxon, Phys. Rev. B 36, 4789 (1987).

    Article  ADS  Google Scholar 

  25. Y.-W. Tan, J. Zhu, H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 94, 016405 (2005).

Download references

Funding

This study was supported by the Russian Foundation for Basic Research (project no. 20-02-00177) and the Russian Science Foundation (project no. 22-12-00257).

Author information

Authors and Affiliations

  1. Institute of Solid State Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow oblast, Russia

    I. V. Kukushkin

Authors
  1. I. V. Kukushkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. V. Kukushkin.

Ethics declarations

CONFLICT OF INTEREST

The authors declare that they have no conflicts of interest.

ADDITIONAL INFORMATION

This article was prepared for the special issue of Journal of Experimental and Theoretical Physics dedicated to the 95th birthday of Professor E.I. Rashba.

Additional information

Translated by N. Wadhwa

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kukushkin, I.V. Renormalization of the Excitation Spectrum and the Migdal Effect in a 2D Electron System with Strong Interaction. J. Exp. Theor. Phys. 135, 448–457 (2022). https://doi.org/10.1134/S1063776122100168

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776122100168

Search

Navigation