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Dynamic representation of disordered electronic systems

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Zeitschrift für Physik B Condensed Matter

Abstract

A dynamic formulation of the mobility-edge problem in disordered electronic systems is presented which avoids the replica method as well as the use of Grassmann variables.

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References

  1. See the classic paper: Anderson, P.W.: Phys. Rev.109, 1492 (1958) and e.g. the following reviews;

    Google Scholar 

  2. Thouless, D.J.: Phys. Rep.13, 93 (1974)

    Google Scholar 

  3. Sadovskii, M.V.: Sov. Phys. Usp.24, 96 (1981)

    Google Scholar 

  4. Stephen, M.J.: In: Lecture Notes in Physics. Vol.186, p. 259. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  5. The main ideas are summarized in: Wegner, F.: Phys. Rep.67, 15 (1980)

    Google Scholar 

  6. Wegner, F.: Phys. Rev. B19, 783 (1979)

    Google Scholar 

  7. Wegner, F.: Z. Phys. B—Condensed Matter35, 207 (1979)

    Google Scholar 

  8. Oppermann, R., Wegner, F.: Z. Phys. B—Condensed Matter34, 327 (1979)

    Google Scholar 

  9. See Ref. 4 and Brézin, E., Hikami, S., Zinn-Justin, J.: Nucl. Phys. B165, 528 (1980)

    Google Scholar 

  10. Hikami, S.: Nucl. Phys. B215, 555 (1983) and references therein

    Google Scholar 

  11. Edwards, S.F.: J. Phys. C8, 1660 (1975)

    Google Scholar 

  12. Emery, V.J.: Phys. Rev. B11, 239 (1975)

    Google Scholar 

  13. Parisi, G., Sourlas, N.: Phys. Rev. Lett.43, 744 (1979)

    Google Scholar 

  14. McKane, A.J.: Phys. Lett.76A, 22 (1980)

    Google Scholar 

  15. De Dominicis, C.: Phys. Rev. B18, 4913 (1978)

    Google Scholar 

  16. For the replica trick see e.g. Refs. 7 and 2. For Grassmann variables see Efetov, K.B.: Sov. Phys. JETP55, 514 (1982)

    Google Scholar 

  17. Ziegler, K.: Z. Phys. B—Condensed Matter48, 293 (1982)

    Google Scholar 

  18. Wegner, F.: Z. Phys. B—Condensed Matter49, 297 (1983)

    Google Scholar 

  19. Efetov, K.B.: Adv. Phys.32, 53 (1983)

    Google Scholar 

  20. Leschke, H., Schmutz, M.: Z. Phys. B—Condensed Matter27, 85 (1977)

    Google Scholar 

  21. Langouche, F., Roekaerts, D., Tirapegui, E.: Physica95A, 252 (1979)

    Google Scholar 

  22. Martin, P.C., Siggia, E.D., Rose, H.A.: Phys. Rev. A8, 423 (1973)

    Google Scholar 

  23. De Dominicis, C.: J. Physique37, Colloque C1, 247 (1976)

    Google Scholar 

  24. Janssen, H.-K.: Z. Phys. B—Condensed Matter23, 377 (1976)

    Google Scholar 

  25. Schäfer, L., Wegner, F.: Z. Phys. B—Condensed Matter38, 113 (1980)

    Google Scholar 

  26. Velicky, B.: Phys. Rev.184, 614 (1969)

    Google Scholar 

  27. For some rigorous results concerning the smooth behaviour ofG p andp nearE c see Wegner, F.: J. Phys. C13, L45 (1980)

    Google Scholar 

  28. Wegner, F.: Z. Phys. B—Condensed Matter44, 9 (1981)

    Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Düsseldorf, Universitätsstrasse 1, D-4000, Düsseldorf 1, Germany

    Richard Bausch & Hajo Leschke

  2. Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Glückstrasse 6, D-8520, Erlangen, Germany

    Hajo Leschke

Authors
  1. Richard Bausch
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  2. Hajo Leschke
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Bausch, R., Leschke, H. Dynamic representation of disordered electronic systems. Z. Physik B - Condensed Matter 53, 249–253 (1983). https://doi.org/10.1007/BF01436286

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  • DOI: https://doi.org/10.1007/BF01436286

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