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.
Similar content being viewed by others
References
R. Peierls, Ann. Phys. (Leipzig) 395, 1055 (1929).
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.
G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B 64, 214204 (2001).
R. N. Gurzhi, A. N. Kalinenko, and A. I. Kopeliovich, Phys. Rev. B 52, 4744 (1995).
M. J. M. de Jong and L. W. Molenkamp, Phys. Rev. Lett. 74, 3872 (1995).
K. J. Thomas, J. T. Nicholls, M. Y. Simmons, M. Pepper, D. R. Mace, and D. A. Ritchie, Phys. Rev. Lett. 77, 135 (1996).
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).
V. A. Sablikov, JETP Lett. 84, 404 (2006).
A. M. Lunde, K. Flensberg, and L. I. Glazman, Phys. Rev. Lett. 97, 256802 (2006).
A. M. Lunde, K. Flensberg, and L. I. Glazman, Phys. Rev. B 75, 245418 (2007).
T. Micklitz, J. Rech, and K. A. Matveev, Phys. Rev. B 81, 115313 (2010).
A. Levchenko, T. Micklitz, J. Rech, and K. A. Matveev, Phys. Rev. B 82, 115413 (2010).
A. Levchenko, Z. Ristivojevic, and T. Micklitz, Phys. Rev. B 83, 041303 (2011).
K. E. Nagaev and O. S. Ayvazyan, Phys. Rev. Lett. 101, 216807 (2008).
Yu. V. Sharvin, Sov. Phys. JETP 21, 655 (1965).
I. O. Kulik, R. I. Shekhter, and A. N. Omeyanchuk, Solid State Commun. 23, 301 (1977).
E. M. Lifshitz and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 10: Physical Kinetics (Nauka, Moscow, 1978; Pergamon, New York, 1980).
A. V. Chaplik, Sov. Phys. JETP 33, 997 (1971).
G. F. Giuliani and J. J. Quinn, Phys. Rev. B 26, 4421 (1982).
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).
M. Yu. Melnikov, J. P. Kotthaus, V. Pellegrini, L. Sorba, G. Biasiol, and V. S. Khrapai, Phys. Rev. B 86, 075425 (2012).
K. E. Nagaev and T. V. Kostyuchenko, Phys. Rev. B 81, 125316 (2010).
C. W. J. Beenakker and H. van Houten, Solid State Phys. 44, 1 (1991).
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).
K. E. Nagaev and N. Yu. Sergeeva, Phys. Rev. B 85, 165404 (2012).
K. E. Nagaev, to be published.
Author information
Authors and Affiliations
Corresponding author
Additional information
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.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364017020114