Skip to main content
Log in

Conductance noise spectrum of mesoscopic systems

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We investigate the shape as well as the size- and temperature-dependence of the conductance noise spectrum of a small system containing electrons and both fixed and mobile scatterers. If the number of mobile scatterers within a phase-coherent region is sufficiently large, the temporal variation of the conductance can be viewed as a random walk process limited by the universal conductance fluctuations, resulting in a practically Lorentzian power spectrum. We discuss the conditions under which the noise spectrum of a system consisting of many phase-coherent regions is either Lorentzian or 1/f-like. The temperature-dependence of the power spectrum is determined by the hopping mechanism and the variation of the phase breaking length. As a function of temperature the spectrum satisfies power law scaling relations with exponents depending on the dimension and the temperature range; the spectral intensity can both increase and decrease with decreasing temperature.

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. Webb, R.A., Washburn, S., Umbach, C.P., Laibowith, R.: Phys. Rev. Lett.54, 2696 (1985)

    Google Scholar 

  2. Meisenheimer, T.L., Giordano, N.: Phys. Rev. B39, 9929 (1989)

    Google Scholar 

  3. Alers, G.B., Weissman, M.B., Averback, R.S., Shyu, H.: Phys. Rev. B40, 900 (1989)

    Google Scholar 

  4. Scofield, J.H., Mantese, J.V., Webb, W.W.: Phys. Rev. B32, 736 (1985)

    Google Scholar 

  5. Birge, N.O., Golding, B., Haemmerle, W.H.: Phys. Rev. Lett.62, 195 (1989)

    Google Scholar 

  6. Koch, R.H.: Bull. Am. Phys. Soc.32, 542 (1987)

    Google Scholar 

  7. Feng, S., Lee, P.A., Stone, A.D.: Phys. Rev. Lett.56, 1960 (1986)

    Google Scholar 

  8. Weissman, M.B.: Phys. Rev. Lett.59, 1772 (1987)

    Google Scholar 

  9. Hershfield, S.: Phys. Rev. B37, 8557 (1988)

    Google Scholar 

  10. Feng, S.: Preprint (1989)

  11. Feng, S., Lee, P.A.: Preprint (1990)

  12. Al'tshuler, B.L., Spivak, B.Z.: JETP Lett.49, 773 (1989)

    Google Scholar 

  13. Al'tshuler, B.L.: JETP Lett.41, 648 (1985)

    Google Scholar 

  14. Lee, P.A., Stone, A.D.: Phys. Rev. Lett.55, 1622 (1985)

    Google Scholar 

  15. Al'tshuler, B.L., Spivak, B.Z.: JETP Lett.42, 447 (1986)

    Google Scholar 

  16. Dutta, P., Horn, P.M.: Rev. Mod. Phys.53, 497 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kiss, L.B., Kertész, J. & Hajdu, J. Conductance noise spectrum of mesoscopic systems. Z. Physik B - Condensed Matter 81, 299–303 (1990). https://doi.org/10.1007/BF01309362

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01309362

Keywords

Navigation