Skip to main content
SpringerLink
Log in

Localization of electrons in infinitely long random systems - diagrammatic approach

  • V. Localisation
  • Conference paper
  • First Online:
Static Critical Phenomena in Inhomogeneous Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 206))

  • 150 Accesses

Abstract

We describe the diagram analysis for the one-dimensional localization problem developed by Berezinskii in a simplified and modified form. Then we discuss the generalization to N coupled chains (a disordered wire). It is shown that all eigenstates are localized and that the localization length is approximately equal to NI2 (I2 scattering length for backward scattering at one chain).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N.F. Mott, and D.W. Twose, Adv.Phys.10,107 (1961).

    Article  ADS  Google Scholar 

  2. V.L. Berezinskii,Zh.eksper.teor.Fiz.65,1251 (1973).

    Google Scholar 

  3. D.J. Thouless, Phys.Rev. Letters 39,1167 (1977).

    Article  ADS  Google Scholar 

  4. P.W. Anderson, D.J. Thouless, E. Abrahams, and D.S. Fisher, Phys.Rev.B22,3519 (1980).

    ADS  MathSciNet  Google Scholar 

  5. P.W. Anderson, Phys.Rev.B23,4828 (1981).

    ADS  Google Scholar 

  6. M.Ya. Azbel, Phys.Rev. Letters46,675 (1981).

    Article  ADS  Google Scholar 

  7. W. Weller, V.N. Prigodin, and Yu.A. Firsov, phys.stat.sol.(b)110,143 (1982).

    Article  ADS  Google Scholar 

  8. W. Weller, Yu.A. Firsov, and V.N. Prigodin, Proceedings of the International Seminar on “Localization in Disordered Systems”, Johnsbach 1983, ed. by W. Weller and P. Ziesche, B.G. Teubner Leipzig 1984.

    Google Scholar 

  9. O.N. Dorokhov, Solid state Commun.44,915 (1982).

    Article  ADS  Google Scholar 

  10. O.N. Dorokhov, Zh.eksper.teor.Fiz.85,1040 (1983).

    Google Scholar 

  11. K.B. Efetov, and A.I. Larkin, ZH.eksper.teor.Fiz.85,764 (1983). K.B. Efetov, Adv.Phys.32,53(1983).

    Google Scholar 

  12. A. MacKinnon, and B. Kramer, Phys. Rev. Letters 47, 1546 (1981).

    Article  ADS  Google Scholar 

  13. P.W. Anderson, Phys. Rev.109,1942 (1958).

    Google Scholar 

  14. E.N. Economou, and M.H. Cohen, Phys. Rev.B5,2931 (1972).

    ADS  Google Scholar 

  15. W. Weller, and M. Kasner, Contribution to MECO-Seminar 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Sektion Physik, Karl-Marx-Universität, DDR-7010, Leipzig

    W. Weller

Authors
  1. W. Weller
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

A. Pękalski J. Sznajd

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Weller, W. (1984). Localization of electrons in infinitely long random systems - diagrammatic approach. In: Pękalski, A., Sznajd, J. (eds) Static Critical Phenomena in Inhomogeneous Systems. Lecture Notes in Physics, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13389-0_16

Download citation

  • DOI: https://doi.org/10.1007/3-540-13389-0_16

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13369-8

  • Online ISBN: 978-3-540-38925-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation