Skip to main content

Strong Electron Correlations in C u O 2 Planes of HighTemperature Superconductors

  • Chapter
Recent Progress in Many-Body Theories
  • 115 Accesses

Abstract

The properties of correlated holes within a CuO 2plane of a high temperature superconductor are investigated as a function of doping by holes. The correlated ground state of a four-band Hubbard model is found for realistic parameters by making use of local ansatz which emphasizes local correlations between holes. It is found these correlations are particularly strong within orbitale. They lead to a drastic modification of the ground state, and result in only ≃ 3% population of d 8 configuration. The doped holes have ≃ 70% oxygen character, in agreement with experimental observations, as well as with the results of finite cluster diagonalization.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K.G. Haas, Electronic Structure of Gopper-Oxide Superconductors, in: Solid State Physics, Vol. 42, H. Ehrenreich and D. Turnbull, ed., Academic Press, London, (1989).

    Google Scholar 

  2. W.E. Pickett, Rev. Mod. Phys. 61:433 (1989).

    Article  ADS  Google Scholar 

  3. A. Fujimori, E. Takayama-Muromachi, Y. Uchida, and B. Okai, Phys. Rev. B 35:8814 (1987).

    Article  ADS  Google Scholar 

  4. Z. Shen, J.W. Allen, J.J. Yeh, J.-S. Kang, W. Ellis, W. Spicer, I. Landau, M.B. Maple, Y.D. Dalichaouch, M.S. Torikachvili, J.Z. Sun, and T.H. Geballe, Phys. Rev. B 36:2794 (1987).

    Google Scholar 

  5. H. Eskes, H. Tjeng, and G.A. Sawatzky, in: Proceedings NEC Symposium on Mechanisms of High-T c Superconductivity, to be published.

    Google Scholar 

  6. C.M. Varma, S. Schmitt-Rink, and E. Abrahams, Solid State Commun. 62:681 (1987).

    Article  ADS  Google Scholar 

  7. V.J. Emery, Phys. Rev. Lett. 58:2794 (1987).

    Article  ADS  Google Scholar 

  8. M.C. Gutzwiller Phys. Rev. A 137:1736 (1965).

    MathSciNet  Google Scholar 

  9. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 59:121 (1987); ibid., Phys. Rev. B 37:7382 (1988).

    Article  ADS  Google Scholar 

  10. G. Stollhoff and P. Fulde, Z. Phys. B 26:257 (1977); ibid., 29:231 (1978).

    Article  ADS  Google Scholar 

  11. A. Bianconi, P. Castrucci, A. Fabrizi, M. Pompa, A.M. Flank, P. Lagarde, H. Katayama-Yoshida, and G. Calestani, Physica C, to be published.

    Google Scholar 

  12. W. Weber, Z. Phys. B 70:323 (1987); M. Jarrell, H.R. Krishnamurthy, and D.L. Cox, Phys. Rev. B 38:4584 (1988); D.L. Cox, M. Jarrell, G. Jayaprakash, and H.R. Krishnamurthy, Phys. Rev. Lett. 62:2188 (1989).

    Article  ADS  Google Scholar 

  13. J.G. Slater and G.F. Koster, Phys. Rev. 94:1498 (1954).

    Article  ADS  MATH  Google Scholar 

  14. A.M. Oleś, Phys. Rev. B 28:327 (1983).

    Article  ADS  Google Scholar 

  15. A.M. Oleś, J. Zaanen, and P. Fulde, Physica B 148:260 (1987).

    Article  Google Scholar 

  16. G. Bubeck, A.M. Oleś, and M.G. Böhm, Z. Phys. B 26:257 (1989); M.C. Böhm, G. Bubeck, and A.M. Oleś, Ghem. Phys. 135:27 (1989).

    Google Scholar 

  17. G. Stollhoff and P. Fulde, J. Ghem. Phys. 73:4548 (1980).

    Article  ADS  Google Scholar 

  18. A.M. Oleś and G. Stollhoff, Phys. Rev. B 29:314 (1984).

    Article  ADS  Google Scholar 

  19. F. Kajzar and J. Friedel, J. Phys. (Paris) 39:397 (1978); G. Tréglia, F. Ducastelle, and D. Spanjaard, J. Phys. (Paris) 41:281 (1980).

    Google Scholar 

  20. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62:324 (1989).

    Article  ADS  Google Scholar 

  21. A.M. Oleś, F. Pfirsch, P. Fulde and M.G. Böhm, Z. Phys. B 66:359 (1987); A.M. Oles, P. Fulde and M.G. Böhm, Ghem. Phys. 117:385 (1987).

    Article  ADS  Google Scholar 

  22. M.S. Hybertsen, M. Schlüter, and N.E. Christensen, Phys. Rev. B 39:9028 (1989).

    Article  ADS  Google Scholar 

  23. A.K. McMahan, R.M. Martin, and S. Satpathy, Phys. Rev. B 38:6650 (1988).

    Article  ADS  Google Scholar 

  24. J.F. Annett, R.M. Martin, A.K. McMahan, and S. Satpathy, Phys. Rev. B 40:2620 (1989).

    Article  ADS  Google Scholar 

  25. F. Mila, Phys. Rev. B 38:11358 (1988).

    Article  ADS  Google Scholar 

  26. D. van der Marel and G.A. Sawatzky, Phys. Rev. B 37:10674 (1988).

    Article  Google Scholar 

  27. A.M. Oles and J. Zaanen, Int. J. Mod. Phys. B 2:751 (1988).

    Article  ADS  Google Scholar 

  28. F.G. Zhang and T.M. Rice, Phys. Rev. B 37:3759 (1988).

    Article  ADS  Google Scholar 

  29. A. Ramsak and P. Prelovsek, Phys. Rev. B 40:2239 (1989); M.S. Hybertsen, E.B. Stechel, M. Schluter and D.R. Jennison, to be published.

    Article  ADS  Google Scholar 

  30. A.M. Oles, P. Fulde and M.C. Böhm, Z. Phys. B 76:239 (1989).

    Article  ADS  Google Scholar 

  31. E.B. Stechel and D.R. Jennison, Phys.Rev. B 38:8873 (1988).

    Article  ADS  Google Scholar 

  32. W. Stephan, private communication.

    Google Scholar 

  33. W.H. Stephan, W. von der Linden, and P. Horsch, Phys. Rev. B 39:2924 (1989).

    Article  ADS  Google Scholar 

  34. J.E. Hirsch, E. Loh, Jr., D.J. Scalapino, and S. Tang, Phys. Rev. B 39:243 (1989).

    Article  ADS  Google Scholar 

  35. J. Dutka and A.M. Oleś, to be published.

    Google Scholar 

  36. L.H. Tjeng, J. van Elp, P. Kuiper, and G.A. Sawatzky, to be published.

    Google Scholar 

  37. C.A. Balseiro, A.G. Rojo, E.R. Gagliano, and B. Alascio, Phys. Rev. B 38:9315 (1989).

    Article  ADS  Google Scholar 

  38. H. Eskes and G.A. Sawatzky, Phys. Rev. Lett. 62:324 (1989).

    Article  Google Scholar 

  39. J.C. Fuggle, J. Fink, and N. Niicker, Int. J. Mod. Phys. B 2:1185 (1988); H. Rietschel, J. Fink, E. Gering, F. Gompf, N. Niicker, L. Pintschovius, B. Renker, W. Reichardt, H. Schmidt, and W. Weber, Physica G 153-155:1067 (1988).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

Oleś, A.M., Zaanen, J. (1990). Strong Electron Correlations in C u O 2 Planes of HighTemperature Superconductors. In: Avishai, Y. (eds) Recent Progress in Many-Body Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3798-4_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3798-4_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6693-5

  • Online ISBN: 978-1-4615-3798-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics