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Variational Wave Functions in the One-Dimensional t-J Model for Strongly Correlated Regimes

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Correlation Effects in Low-Dimensional Electron Systems

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 118))

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Abstract

The one-dimensional t-J model is investigated by using variational wave functions for strongly correlated regimes. The Gutzwiller-Jastrow-type trial state has been studied extensively but it does not have spin-charge separation explicitly. On the other hand, another type of variational wave function is considered, which has the spin-charge separation and is easy to extend to higher dimensions. This trial state has spinless fermions as the charge degrees of freedom and a resonating-valence-bond state as the spin degrees of freedom.

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References

  1. For reviews see, J. Shcyom, Adv. Phys. 28, 201 (1979), F. C 14, 2585 (1981), and H. Fukuyama and H. Takayama, Inorganic Quasi-One-Di-mensional Materials, I, ed. by P. p. 41.

    Google Scholar 

  2. P. W. Anderson, Phys. Rev. Lett. 64, 1839 (1990), 65 Theor. Phys. Supple. 107, 41 (1992).

    Google Scholar 

  3. Lieb and Wu: Phys. Rev. Lett. 20, 1445 (1968).

    Article  ADS  Google Scholar 

  4. B. Sutherland: Phys. Rev. B 12, 3795 (1975), P. Schlottmann: Phys. Rev. B 36, 5177 (1987).

    Google Scholar 

  5. P. -A. Bares and G. Blatter: Phys. Rev. Lett. 64, 2567 (1990)P. -A. Bares, G. Blatter and M. Ogata: Phys. Rev. B 44, 130 (1991).

    Google Scholar 

  6. N. Kawakami and S. -K. Yang: Phys. Rev. Lett. 65, 2309 (1990).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. M. Ogata, M. U. Luchini, S. Sorella and F. F. Assaad: Phys. Rev. Lett. 66, 2388 (1991).

    Article  ADS  Google Scholar 

  8. M. Ogata and H. Shiba: Phys. Rev. B 41, 2326 (1990); H. Shiba and M. Ogata: Prog. Theor. Phys. Supple. 108, 265 (1993).

    Google Scholar 

  9. H. Yokoyama and M. Ogata: Phys. Rev. Lett. 67, 3610 (1991).

    Article  ADS  Google Scholar 

  10. C. S. Hellberg and E. J. Mele: Int. J. Mod. Phys. 5, 1791 (1991) and Phys. Rev.Lett. 67, 2080 (1991).

    Google Scholar 

  11. P. W. Anderson: Science 235, 1196 (1987).

    Article  ADS  Google Scholar 

  12. C. Gros, R. Joynt and T.M. Rice: Phys. Rev. B 36, 381 (1987).

    Article  ADS  Google Scholar 

  13. H. Yokoyama and H. Shiba: J. Phys. Soc. Jpn. 56, 1490 (1987).

    Article  ADS  Google Scholar 

  14. W. Metzner and D. Vollhardt: Phys. Rev. B 37, 7382 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  15. F. Gebhard and D. Vollhardt: Phys. Rev. B 38, 6911 (1988).

    Google Scholar 

  16. H. Yokoyama and H. Shiba: J. Phys. Soc. Jpn. 59, 3669 (1990).

    Article  ADS  Google Scholar 

  17. N. Kawakami and P. Horsch: Phys. Rev. Lett. 68, 3110 (1992).

    Article  ADS  Google Scholar 

  18. D. Yoshioka: J. Phys. Soc. Jpn. 58, 1516 (1989).

    Article  ADS  Google Scholar 

  19. R. Valenti and C. Gros: Phys. Rev. Lett. 68, 2402 (1992).

    Article  ADS  Google Scholar 

  20. D. Yoshioka: J. Phys. Soc. Jpn. 58 32 (1989), and private communication.

    Article  ADS  Google Scholar 

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© 1994 Springer-Verlag Berlin Heidelberg

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Ogata, M. (1994). Variational Wave Functions in the One-Dimensional t-J Model for Strongly Correlated Regimes. In: Okiji, A., Kawakami, N. (eds) Correlation Effects in Low-Dimensional Electron Systems. Springer Series in Solid-State Sciences, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85129-2_12

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  • DOI: https://doi.org/10.1007/978-3-642-85129-2_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85131-5

  • Online ISBN: 978-3-642-85129-2

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