Zeitschrift für Physik B Condensed Matter

, Volume 91, Issue 4, pp 531–536 | Cite as

Negative excess noise in quantum conductors

  • Gordey B. Lesovik
  • Roland Loosen
Original Contributions

Abstract

We predict that in quantum conductors the excess noise can be absent or even negative provided the energy dependence of the electron transmission probability at the Fermi energy is sufficiently sharp. In other words the current (or voltage) fluctuations under transport conditions can be less than in equilibrium. As examples for this surprising behavior we consider resonant tunneling, ballistic point contacts and the integer quantum Hall effect.

PACS

73.50.Td 74.40.+K 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Nyquist, H.: Phys. Rev.32, 110 (1928); Callen, H.B., Welton, T.A.: Phys. Rev.83, 34 (1951)Google Scholar
  2. 2.
    Lesovik, G.B.: Pisma Zh. Eksp. Teor. Fiz.514 (1989); JETP Lett.49, 593 (1989)Google Scholar
  3. 3.
    Khlus, V.A.: Zh. Eksp. Teor. Fiz.93, 2179 (1987); Sov. Phys. JETP66, 1243 (1987) in this article an expression similar to (1) is derived by semiclassical Green's function methodGoogle Scholar
  4. 4.
    Landauer, R.: In: Localization, interaction and transport phenomena. Kramer, B., Bergmann, G., Bruynseraede, Y. (eds.). Springer Series of Solid State Sciences, Vol. 61, p. 38. Berlin, Heidelberg, New York: Springer 1985Google Scholar
  5. 5.
    For the derivation of the general multichannel formula see Büttiker, M. [8] or Martin, Th., Landauer, R.: Phys. Rev. B45, 1742 (1992)Google Scholar
  6. 6.
    Beenakker, C.W.J., Houten, H. van: Phys. Rev. B43, 12066 (1991); Landauer, R., Martin, Th.: Physica B175, 167 (1991); Beenakker, C.W.J., Büttiker, M.: Phys. Rev. B46, 1889 (1992); Yang, S.R.E.: Solid State Commun.81, 375 (1992); Shimizu, A., Sakaki, H.: Phys. Rev. B44, 13136 (1991); see also [5, 3, 8, 17, 18]Google Scholar
  7. 7.
    Kulik, I.O., Omel'yanchuk, A.N.: Fiz. Nisk. Temp.10, 305 (1984); Sov. J. Low. Temp. Phys.10, 467 (1984)Google Scholar
  8. 8.
    aBüttiker, M.: Phys. Rev. Lett.65, 2901 (1990);b Lesovik, G.: invited talk at NATO Advanced Research Workshop on Microscopic Aspects of Nonlinearity in Condensed Matter in Florence, Italy, held in 1990Google Scholar
  9. 9.
    Lesovik, G.B., MacDonald, A.H.: (unpublished)Google Scholar
  10. 10.
    Li, Y.P., Tsui, D.C., Heremans, J.J., Simmons, J.A., Weimann, G.W.: Appl. Phys. Lett.57, 774 (1990); Timp, G., Behringer, R.E., Cunningham, J.E.: Phys. Rev. B42, 9259 (1990); Dekker, C., Scholten, A.J., Liefrink, F., Eppenga, R., Houten, H. van: Phys. Rev. Lett.66, 2148 (1991)Google Scholar
  11. 11.
    Washburn, S., Haug, R.J., Lee, K.Y., Hong, J.M.: Phys. Rev. B44, 3875 (1991)Google Scholar
  12. 12.
    Wees, B.J. van, Houten, H. van, Beenakker, C.W.J., Williamson, J.G.: Phys. Rev. Lett.60, 848 (1988); Wharam, D.A., Thornton T.J., Newbury, R., Pepper, M., Ahmed, H., Frost, J.E.F., Ritchie, D.G., Jones, G.A.C.: J. Phys. C21, L209 (1988)Google Scholar
  13. 13.
    Glazman, L.I., Lesovik, G.B., Khmel'nitskii, D.E., Shekhter, R.I.: Pis'ma Zh. Eksp. Teor. Fiz.48, 238 (1988); JETP Lett.48, 238 (1988)Google Scholar
  14. 14.
    Büttiker, M.: Phys. Rev. B46, 12485 (1992)Google Scholar
  15. 15.
    Landau, L.D., Lifshitz, E.M.: Statistical physics, Part 1, Vol. 5, 2nd revised and enlarged edition. Oxford: Pergamon Press 1968; see § 121, § 126 and § 127 there inGoogle Scholar
  16. 16.
    Stone, A.D., Szafer, A.: IBM J. Res. Dev.32, 384 (1988)Google Scholar
  17. 17.
    Kane, C.L., Fisher, M.P.A.: Phys. Rev. B46, 7268 (1992)Google Scholar
  18. 18.
    Hershfield, S.: Phys. Rev. B46, 7061 (1992)Google Scholar
  19. 19.
    Shimizu, A., Ueda, M.: Phys. Rev. Lett.69, 1403 (1992)Google Scholar
  20. 20.
    Li, Y.P., Sajoto, T., Engel, L.W., Tsui, D.C., Shayegan, M.: Phys. Rev. Lett.67, 1630 (1991)Google Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Gordey B. Lesovik
    • 1
  • Roland Loosen
    • 1
  1. 1.Institut für Theoretische PhysikUniversität zu KölnKöln 41Germany
  2. 2.Institute of Solid State PhysicsRussian Academy of SciencesMoscow

Personalised recommendations