Zeitschrift für Physik B Condensed Matter

, Volume 78, Issue 2, pp 219–227 | Cite as

Coherent motion of a hole in a two-dimensional quantum antiferromagnet

  • R. Eder
  • K. W. Becker


The dispersion relation for the coherent propagation of a hole moving in a two-dimensional quantum antiferromagnet is discussed. The system is described by two model Hamiltonians, thet-J model and thet-t′-J model, which have been used frequently to discuss strong electron-correlation effects present in high-T c superconductors. The calculations are based on the introduction of a new wave function which is constructed by use of equations derived by Shraiman and Siggia. The different mechanisms for the coherent propagation, which are due to the spin fluctuation and the hopping terms of the Hamiltonian, are treated on the same footing. As a result of the inclusion of an effective hopping mechanism along spiral paths-first discussed by Trugman-the minimum of the band is somewhat changed compared to results recently obtained in the literature. For large values of the ratiot/J an inversion of the whole dispersion relation occurs. The overall shapes of the dispersion within both models are found to agree quite well, though for small values oft/J the bandwidth within thet-J model becomes significantly smaller than that of thet-t′-J model.


Spectroscopy Neural Network State Physics Wave Function Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bednorz, J.G., Müller, K.A.: Z. Phys. B-Condensed Matter64, 189 (1986)Google Scholar
  2. 2.
    Fulde, P.: Physica C153–155, 1769 (1988)Google Scholar
  3. 3.
    Rice, T.M.: Z. Phys. B-Condensed Matter67, 141 (1987); Preprint (1989) and references thereinGoogle Scholar
  4. 4.
    Anderson, P.W.: Science235, 1196 (1987); In: Proceedings of the International School of Physics “Enrico Fermi”, July 1987. Frontiers and borderlines in many particle physics. Amsterdam: North Holland 1989Google Scholar
  5. 5.
    Anderson, P.W.: Phys. Rev.115, 2 (1959)Google Scholar
  6. 6.
    Zhang, F.C., Rice, T.M.: Phys. Rev. B37, 3759 (1988)Google Scholar
  7. 7.
    Chao, K.A., Spalek, J., Oles, A.M.: J. Phys. C58, L271 (1977)Google Scholar
  8. 8.
    Hirsch, J.E.: Phys. Rev. Lett.54, 1317 (1985)Google Scholar
  9. 9.
    Gros, C., Joynt, R., Rice, T.M.: Phys. Rev. B36, 381 (1987)Google Scholar
  10. 10.
    Zou, Z., Anderson, P.W.: Phys. Rev. B37, 627 (1988)Google Scholar
  11. 11.
    Schmitt-Rink, S., Varma, C.M., Ruckenstein, A.E.: Phys. Rev. Lett.60, 2793 (1988)Google Scholar
  12. 12.
    Kane, C.L., Lee, P.A., Read, N.: Phys. Rev.39, 6880 (1989)Google Scholar
  13. 13.
    Yoshioka, D.: J. Phys. Soc. Jpn.58, 32 (1989)Google Scholar
  14. 14.
    Gros, C., Johnson, M.D.: PreprintGoogle Scholar
  15. 15.
    Becker, K.W., Fulde, P.: Z. Phys. B-Condensed Matter72, 423 (1989)Google Scholar
  16. 16.
    Won, H., Becker, K.W., Fulde, P.: Z. Phys. B-Condensed Matter75, 335 (1989)Google Scholar
  17. 17.
    Brenig, W., Becker, K.W.: Z. Phys. B-Condensed Matter76, 473 (1989)Google Scholar
  18. 18.
    Brinkman, W.F., Rice, T.M.: Phys. Rev. B2, 1324 (1970)Google Scholar
  19. 19.
    Bulaevskii, L.N., Nagaev, E.L., Khomskii, D.L.: Sov. Phys. JETP.27, 836 (1968)Google Scholar
  20. 20.
    Shraiman, B.I., Siggia, E.D.: Phys. Rev. Lett.60, 740 (1988)Google Scholar
  21. 21.
    Trugman, S.A.: Phys. Rev. B37, 1597 1988)Google Scholar
  22. 22.
    Nagaev, E.L.: Sov. Phys. JETP.31, 682 (1970)Google Scholar
  23. 23.
    Sczcepanski, K.v., Horsch, P., Stephan, W., Ziegler, M.: Preprint 1989Google Scholar
  24. 24.
    Sczcepanski, K.v., Horsch, P., Stephan, W., Ziegler, M.: Preprint 1989Google Scholar
  25. 25.
    Maekawa, S., Inoue, J., Tohyama, T.: In: Strong correlations and superconductivity. In: Springer Series in Solid-State Sciences. Vol. 89, p. 66. Berlin, Heidelberg, New York: Springer 1989Google Scholar
  26. 26.
    Nagaoka, Y.: Phys. Rev.147, 392 (1966)Google Scholar
  27. 27.
    Trugman, S.A.: Preprint 1989Google Scholar
  28. 28.
    Sczcepanski, K.v.: Private communicationGoogle Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • R. Eder
    • 1
  • K. W. Becker
    • 1
  1. 1.Max-Planck Institut für FestkörperforschungStuttgartGermany

Personalised recommendations