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Electron–electron scattering and the transport properties of two-dimensional ballistic contacts

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Abstract

Recent results on the effect of electron–electron collisions on the electric properties of contacts to a twodimensional electron gas with a direct conductivity in the absence of scattering by impurities and boundaries have been reviewed. A correction to the conductance of such contacts owing to the electron–electron scattering can be either positive or negative depending on the contact geometry. The magnitude of this correction strongly depends on the magnetic field.

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References

  1. R. Peierls, Ann. Phys. (Leipzig) 395, 1055 (1929).

    Article  ADS  Google Scholar 

  2. B. L. Altshuler and A. G. Aronov, in Electron–Electron Interactions in Disordered Systems, Ed. by A. L. Efros and M. Pollak (North-Holland, Amsterdam, 1985), p.1.

  3. G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B 64, 214204 (2001).

    Article  ADS  Google Scholar 

  4. R. N. Gurzhi, A. N. Kalinenko, and A. I. Kopeliovich, Phys. Rev. B 52, 4744 (1995).

    Article  ADS  Google Scholar 

  5. M. J. M. de Jong and L. W. Molenkamp, Phys. Rev. Lett. 74, 3872 (1995).

    Article  Google Scholar 

  6. K. J. Thomas, J. T. Nicholls, M. Y. Simmons, M. Pepper, D. R. Mace, and D. A. Ritchie, Phys. Rev. Lett. 77, 135 (1996).

    Article  ADS  Google Scholar 

  7. S. M. Cronenwett, H. J. Lynch, D. Goldhaber-Gordon, L. P. Kouwenhoven, C. M. Marcus, K. Hirose, N. S. Wingreen, and V. Umansky, Phys. Rev. Lett. 88, 226805 (2002).

    Article  ADS  Google Scholar 

  8. V. A. Sablikov, JETP Lett. 84, 404 (2006).

    Article  ADS  Google Scholar 

  9. A. M. Lunde, K. Flensberg, and L. I. Glazman, Phys. Rev. Lett. 97, 256802 (2006).

    Article  ADS  Google Scholar 

  10. A. M. Lunde, K. Flensberg, and L. I. Glazman, Phys. Rev. B 75, 245418 (2007).

    Article  ADS  Google Scholar 

  11. T. Micklitz, J. Rech, and K. A. Matveev, Phys. Rev. B 81, 115313 (2010).

    Article  ADS  Google Scholar 

  12. A. Levchenko, T. Micklitz, J. Rech, and K. A. Matveev, Phys. Rev. B 82, 115413 (2010).

    Article  ADS  Google Scholar 

  13. A. Levchenko, Z. Ristivojevic, and T. Micklitz, Phys. Rev. B 83, 041303 (2011).

    Article  ADS  Google Scholar 

  14. K. E. Nagaev and O. S. Ayvazyan, Phys. Rev. Lett. 101, 216807 (2008).

    Article  ADS  Google Scholar 

  15. Yu. V. Sharvin, Sov. Phys. JETP 21, 655 (1965).

    ADS  Google Scholar 

  16. I. O. Kulik, R. I. Shekhter, and A. N. Omeyanchuk, Solid State Commun. 23, 301 (1977).

    Article  ADS  Google Scholar 

  17. E. M. Lifshitz and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 10: Physical Kinetics (Nauka, Moscow, 1978; Pergamon, New York, 1980).

    Google Scholar 

  18. A. V. Chaplik, Sov. Phys. JETP 33, 997 (1971).

    ADS  Google Scholar 

  19. G. F. Giuliani and J. J. Quinn, Phys. Rev. B 26, 4421 (1982).

    Article  ADS  Google Scholar 

  20. V. T. Renard, O. A. Tkachenko, V. A. Tkachenko, T. Ota, N. Kumada, J.-C. Portal, and Y. Hirayama, Phys. Rev. Lett. 100, 186801 (2008).

    Article  ADS  Google Scholar 

  21. M. Yu. Melnikov, J. P. Kotthaus, V. Pellegrini, L. Sorba, G. Biasiol, and V. S. Khrapai, Phys. Rev. B 86, 075425 (2012).

    Article  ADS  Google Scholar 

  22. K. E. Nagaev and T. V. Kostyuchenko, Phys. Rev. B 81, 125316 (2010).

    Article  ADS  Google Scholar 

  23. C. W. J. Beenakker and H. van Houten, Solid State Phys. 44, 1 (1991).

    Google Scholar 

  24. H. van Houten, C. W. J. Beenakker, P. H. M. van Loosdrechtet, T. J. Thornton, H. Ahmed, M. Pepper, C. T. Foxon, and J. J. Harris, Phys. Rev. B 37, 8534 (1988).

    Article  ADS  Google Scholar 

  25. K. E. Nagaev and N. Yu. Sergeeva, Phys. Rev. B 85, 165404 (2012).

    Article  ADS  Google Scholar 

  26. K. E. Nagaev, to be published.

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Correspondence to K. E. Nagaev.

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Original Russian Text © K.E. Nagaev, 2017, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 105, No. 2, pp. 112–119.

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Nagaev, K.E. Electron–electron scattering and the transport properties of two-dimensional ballistic contacts. Jetp Lett. 105, 137–144 (2017). https://doi.org/10.1134/S0021364017020114

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  • DOI: https://doi.org/10.1134/S0021364017020114

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