Skip to main content
SpringerLink
Log in

Thed=2tJ model on a triangular lattice at large doping

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We determine the spectra and interactions of quasiparticles in thed=2tJ model on a triangular lattice forJ∼2t and near 2/3 electron filling. We find coexistence of magnons and quasielectrons atJ=2t and a transition from repulsion among quasielectrons atJ<2t to attraction atJ>2t. The mathematical methods developed here involve graded cosets and are also applicable, in modified form, to the Fermi liquid regime of thetJ model on a square lattice.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Emery, V.J.: Phys. Rev. Lett.58, 279 (1987) and Nature328, 756 (1987); Anderson, P.W.: Science235, 1196 (1987); Zhang, F.C., Rice, T.M.: Phys. Rev. B37, 3759 (1988)

    Google Scholar 

  2. Lieb, E.H., Wu, F.Y.: Phys. Rev. Lett.20, 1445 (1968); Efetov, K.B., Larkin, A.I.: Sov. Phys. — JETP42, 390 (1976); Bares, D.A., Blatter, G.: Phys. Rev. Lett.64, 2567 (1990)

    Google Scholar 

  3. Anderson, P.W.: Phys. Rep.184, 195 (1989); Haldane, F.D.M.: J. Phys. C14, 2585 (1981) and Cargese Lectures 1990; Anderson, P.W.: Phys. Rev. Lett.64, 1839 (1990); Carmelo, J., Ovchinnikov, A.A.: Stuttgart, Max-Planck-Institut Preprint; Kawakami, N., Yang, S.K.: Kyoto, Yukawa Institute Preprint and further references

    Google Scholar 

  4. Moreo, A., Scalapino, D.J., Sugar, R.L., White, S.R.: Phys. Rev. B41, 2313 (1990); Stephan, W., Horsch, P.: Stuttgart, Max-Planck-Institut preprint

    Google Scholar 

  5. Grilli, M., Kotliar, G.: Phys. Rev. Lett.64, 1170 (1990); Castellani, C., Kotliar, G.: Phys. Rev. B39, 2879 (1989)

    Google Scholar 

  6. Varma, C., Rueckenstein, A., Abrahams, E.: Phys. Rev. Lett.63, 1996 (1989)

    Google Scholar 

  7. Baskaran, G., Zou, Z., Anderson, P.W.: Solid State Commun.63, 973 (1987); Joffe, L.B., Kotliar, G.: Phys. Rev. B42, 10348 (1990); Nagaosa, N., Lee, P.A.: Phys. Rev. Lett. B64, 2450 (1990); Joffe, L.B., Wiegmann, P.B.: Phys. Rev. Lett.65, 653 (1990)

    Google Scholar 

  8. Hirakawa, K., Osborn, R., Taylor, A., Takeda, K.: J. Phys. Soc. Jpn.59, 3081 (1990); Hirakawa, K.: Phase Trans.28, 33 (1990); Hirakawa, K., Kadowaki, H., Ubukoshi, K.: J. Phys. Soc. Jpn.54, 3526 (1985); no published work is known to the author on triangular antiferromagnets with doping; generally, much information on triangular antiferromagnets is contained in the Journal of the Japanese Physical Society

    Google Scholar 

  9. Fazekas, P., Anderson, P.W.: Philos. Mag.30, 423 (1974); Oguchi, T., Nishimori, H., Taguchi, T: J. Phys. Soc. Jpn.55, 323 (1986); Imada, M.: J. Phys. Soc. Jpn.56, 311 (1987); Takasu, M., Miyashita, S., Suzuki, M.: Progr. Theor. Phys.75, 1254 (1986); Kawamura, H.: J. Phys. Soc. Jpn.59, 2305 (1990); Angelucci, A.: Int. J. Mod. Phys. B4, 569 (1990)

    Google Scholar 

  10. Barnes, S.: J. Phys. F6, 137 5 (1976),7, 2637 (1977)

    Google Scholar 

  11. Förster, D.: Phys. Rev. Lett.63, 2140 (1989)

    Google Scholar 

  12. Wiegmann, P.B.: Phys. Rev. Lett.60, 821 (1988)

    Google Scholar 

  13. Förster, D.: Z. Phys. B — Condensed Matter74, 259 (1989),75, 469 (1989);82, 329 (1991)

    Google Scholar 

  14. Scheunert, M., Nahm, W., Rittenberg, V.: J. Math. Phys.18, 146 (1977); Freund, P.G.O., Kaplansky, I.: J. Math. Phys.17, 228 (1976)

    Google Scholar 

  15. Negele, J.W., Orland, H.: Quantum many particle systems. Redwood City: Addison Wesley 1988

    Google Scholar 

  16. Goldstone, J.A., Salam, A., Weinberg, S.: Phys. Rev.127, 965 (1962); review: Bando, M., Kugo, T., Yamawaki, K.: Phys. Rep.164, 217 (1988)

    Google Scholar 

  17. Emery, V.J., Kivelson, K.A., Liu, H.Q.: Phys. Rev. Lett.64, 475 (1990)

    Google Scholar 

  18. Ganguly, P.: Private communication

  19. Ogata, M., Luchini, O.M., Sorella, S., Assaad, F.F.: ETH Preprint 1990

  20. Dyson, F.J., Lieb, E.H., Simon, B.: J. Stat. Phys.18, 335 (1978); Froehlich, J., Simon, B., Spencer, T.: Commun. Math. Phys.50, 79 (1976); Neves, E.J., Perez, J.F.: Phys. Rev. Lett. A144, 331 (1986); Kennedy, T., Lieb, E.H., Shastry, B.S.: J. Stat. Phys.53, 1019 (1988); Liang, S.: Phys. Rev. B42 6555 (1990)

    Google Scholar 

  21. Balachandran, A.P., Ercolesi, E., Morandi, G.: The Hubbard model and anyon superconductivity. Singapore: World Scientific (to be published)

  22. Khvestchenko, D.V., Kogan, Ya, I.: Int J. Mod. Phys. B4 (1990) 631

    Google Scholar 

  23. Horsch, P., von der Linden, X.: Z. Phys. B-Condensed Matter72, 181 (1988)

    Google Scholar 

  24. Kalmeyer, V., Laughlin, R.B.: Phys. Rev. Lett.59, 2095 (1987); Anderson, P.W., Shastry, B.S., Hristopolos, D.: Phys. Rev. B40, 8939 (1989); Shiba, H. Ogata, M.: J. Phys. Soc.59, 2971 (1990); Imada, I.: J. Phys. Soc. Jpn.58, 2650 (1989); Okwamoto, Y., Nagasawa, S.: J. Phys. Soc.59, 2621 (1990)

    Google Scholar 

  25. Wen, X.G., Wilczek, F., Zee, A.: Phys. Rev. B39, 11413 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, W-7000, Stuttgart 80, Federal Republic of Germany

    D. Förster

Authors
  1. D. Förster
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Förster, D. Thed=2tJ model on a triangular lattice at large doping. Z. Physik B - Condensed Matter 83, 347–354 (1991). https://doi.org/10.1007/BF01313404

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01313404

Keywords

Search

Navigation