Skip to main content
Log in

The Anderson model with finite Coulomb repulsion

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

A generalization of perturbational studies of the Anderson model to the case of finite Coulomb repulsionU between the localized electrons is presented. We evaluate one particle spectra for the impurity and the lattice case. When varyingU, systematic trends in the peak positions and in the dynamic energy scale are obtained, which agree well with intuitive expectations. The results provide an understanding of the Anderson model in the full range of its parameters to the same extent as was previously furnished by the NCA approach to theU=∞ case.

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. Lawrence, J.M., Riseborough, P.S., Parks, R.D.: Rep. Prog. Phys.44, 1 (1981); Grewe, N., Leder, H.J., Entel, P.: Festkörperprobleme XX. Treusch, H. (ed.), p. 413. Braunschweig: Wieweg 1980

    Google Scholar 

  2. Stewart, G.R.: Rev. Mod. Phys.56, 755 (1984); Steglich, F.: Paper presented at the 8th Taniguchi Symposium, Kashikojiama. Japan, 1985; Ott, H.R.: Progress in low temperature Physics XI. Brewer, D.F. (ed.), p. 215. Amsterdam, Oxford, New York: Elsevier Science Publ. 1987

    Google Scholar 

  3. Bednorz, J.G., Müller, K.A.: Z. Phys. B-Condensed Matter64, 188 (1986)

    Google Scholar 

  4. Hubbard, J.: Proc. R. Soc. London Ser.A 277, 237 (1964); Ser.A 296, 82 (1967)

    Google Scholar 

  5. Grewe, N., Keiter, H.: Phys. Rev.B 24, 4420 (1981)

    Google Scholar 

  6. Kondo, J.: Proc. Theor. Phys.32, 37 (1964); Grüner, G., Zawadowski, A.: Rep. Prog. Phys.37, 1497 (1974)

    Google Scholar 

  7. Yosida, K., Yamada, K.: Suppl. Prog. Theor. Phys.46, 244 (1970); Prog. Theor. Phys.53, 1286 (1975); Yamada, K.: Prog. Theor. Phys.53, 970 (1975);54, 316 (1975)

    Google Scholar 

  8. Wilson, K.G.: Rev. Mod. Phys.47, 773 (1975)

    Google Scholar 

  9. Nozières, P.: J. Low Temp. Phys.17, 31 (1974)

    Google Scholar 

  10. Andrei, N., Furuya, K., Lowenstein, J.M.: Rev. Mod. Phys.55, 331 (1983); Tsvelik, A.M., Wiegmann, P.B.: Adv. Phys.32, 453 (1983)

    Google Scholar 

  11. Keiter, H., Kimball, J.C.: Int. J. Magn.1, 233 (1971); Keiter, H., Morandi, G.: Phys. Rep.109, 227 (1984)

    Google Scholar 

  12. Grewe, N.: Z. Phys. B-Condensed Matter53, 271 (1983)

    Google Scholar 

  13. Baym, G.: Phys. Rep.127, 1191 (1962); Kuramoto, Y.: Z. Phys. B-Condensed Matter53, 37 (1983)

    Google Scholar 

  14. Müller-Hartmann, E.: Z. Phys. B-Condensed Matter57, 281 (1984)

    Google Scholar 

  15. Bickers, N.E., Cox, D.L., Wilkins, J.W.: Phys. Rev.B 36, 2036 (1987)

    Google Scholar 

  16. Holm, J., Schönhammer, K.: Preprint 1988

  17. Coleman, P.: Phys. Rev.B 35, 5072 (1987)

    Google Scholar 

  18. Pruschke, Th.: (unpublished)

  19. Schrieffer, J.R., Wolff, P.A.: Phys. Rev.149, 491 (1966)

    Google Scholar 

  20. Keiter, H.: Z. Phys. B-Condensed Matter60, 337 (1985); see also Ref. 11

    Google Scholar 

  21. Kuramoto, Y., Kojima, H.: Z. Phys. B-Condensed Matter57, 95 (1984)

    Google Scholar 

  22. To extract this halfwidth, we performed in all cases a Lorentzian fit to the Abrikosov-Suhl resonance first

  23. Grewe, N., Pruschke, Th., Keiter, H.: Z. Phys. B.-Condensed Matter71, 75 (1988)

    Google Scholar 

  24. Brandow, B.H.: Phys. Rev.B 33, 215 (1986)

    Google Scholar 

  25. Martin, R.M.: Phys. Rev. Lett.48, 362 (1982)

    Google Scholar 

  26. Grewe, N.: Solid State Commun.50, 19 (1984)

    Google Scholar 

  27. Kim, C.-I., Kuramoto, Y., Kasuya, T.: Solid State Commun.62, 627 (1987)

    Google Scholar 

  28. Grewe, N.: Solid State Commun.66, 1053 (1988)

    Google Scholar 

  29. Grewe, N.: Solid State Commun.67, 1053 (1988)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was performed within the research program of SFB 252 “Elektronisch hochkorrelierte metallische Materialien”

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pruschke, T., Grewe, N. The Anderson model with finite Coulomb repulsion. Z. Physik B - Condensed Matter 74, 439–449 (1989). https://doi.org/10.1007/BF01311391

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01311391

Keywords

Navigation