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J. Phys. Soc. Jpn. 73 (2004) pp. 808-811  |Next Article|  |Table of Contents|
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Spin Dynamics in the Supersymmetric t–J Model with Inverse-Square Interaction

Mitsuhiro Arikawa1, Takashi Yamamoto2, Yasuhiro Saiga3 and Yoshio Kuramoto4

Department of Mathematics and Statistics, University of Melbourne, VIC 3010, Australia
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnizer Str. 38, D-01187 Dresden, Germany
2Department of Physics and Mathematical Physics, University of Adelaide, Adelaide, SA 5005, Australia
3 Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551
4 Department of Physics, Tohoku University, Sendai 980-8578

(Received January 13, 2004)

The dynamical spin structure factor S(q,ω) is obtained analytically for the one-dimensional supersymmetric t–J model with 1/r2 interaction. In contrast with the conventional view on the spin–charge separation, interpretation of S(q,ω) requires both fractionalized and non-fractionalized electrons depending on the energy–momentum region. At low energies, the spectrum is naturally explained in terms of spinons, holons, and antiholons, all of which obey fractional exclusion statistics. ©2004 The Physical Society of Japan

KEYWORDS: spin dynamics, t–J model, supersymmetry, fractional statistics, Sutherland model
URL: http://jpsj.ipap.jp/link?JPSJ/73/808/
DOI: 10.1143/JPSJ.73.808


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References | Citing Articles (4)

  1. G. Xu, G. Aeppli, M. E. Bisher, C. Broholm, J. F. DiTusa, C. D. Frost, T. Ito, K. Oka, R. L. Paul, H. Takagi and M. M. J. Treacy: Science 289 (2000) 419[Science].
  2. F. D. M. Haldane and M. R. Zirnbauer: Phys. Rev. Lett. 71 (1993) 4055[APS].
  3. T. Yamamoto, Y. Saiga, M. Arikawa and Y. Kuramoto: Phys. Rev. Lett. 84 (2000) 1308[APS].
  4. T. Yamamoto, Y. Saiga, M. Arikawa and Y. Kuramoto: J. Phys. Soc. Jpn. 69 (2000) 900[IPAP].
  5. F. D. M. Haldane: Phys. Rev. Lett. 60 (1988) 635[APS].
  6. B. S. Shastry: Phys. Rev. Lett. 60 (1988) 639[APS].
  7. F. D. M. Haldane: Phys. Rev. Lett. 66 (1991) 1529[APS].
  8. F. D. M. Haldane: Phys. Rev. Lett. 67 (1991) 937[APS].
  9. A. H. Bougourzi, M. Couture and M. Kacir: Phys. Rev. B 54 (1996) R12669[APS].
  10. M. Karbach, G. Müller, A. H. Bougourzi, A. Fledderjohann and K. H. Mütter: Phys. Rev. B 55 (1997) 12510[APS].
  11. Y. Kuramoto and H. Yokoyama: Phys. Rev. Lett. 67 (1991) 1338[APS].
  12. D. F. Wang, J. T. Liu and P. Coleman: Phys. Rev. B 46 (1992) 6639[APS].
  13. Y. Kuramoto and Y. Kato: J. Phys. Soc. Jpn. 64 (1995) 4518[IPAP].
  14. Y. Kato and Y. Kuramoto: J. Phys. Soc. Jpn. 65 (1996) 1622[IPAP].
  15. Z. N. C. Ha and F. D. M. Haldane: Phys. Rev. Lett. 73 (1994) 2887 [APS][ Erratum; 74 (1995) 3501[APS]].
  16. Y. Saiga and Y. Kuramoto: J. Phys. Soc. Jpn. 68 (1999) 3631[IPAP].
  17. Y. Kato: Phys. Rev. Lett. 81 (1998) 5402[APS].
  18. M. Arikawa, T. Yamamoto, Y. Saiga and Y. Kuramoto: J. Phys. Soc. Jpn. 68 (1999) 3782[IPAP].
  19. B. A. Bernevig, D. Giuliano and R. B. Laughlin: Phys. Rev. Lett. 87 (2001) 177206[APS].
  20. B. A. Bernevig, D. Giuliano and R. B. Laughlin: Phys. Rev. B 65 (2002) 195112[APS].
  21. M. Arikawa, Y. Saiga and Y. Kuramoto: Phys. Rev. Lett. 86 (2001) 3096[APS].
  22. B. Sutherland: Phys. Rev. A 4 (1971) 2019[APS].
  23. Y. Saiga, Y. Kato and Y. Kuramoto: J. Phys. Soc. Jpn. 65 (1996) 2361[IPAP].
  24. Y. Kato and Y. Kuramoto: Phys. Rev. Lett. 74 (1995) 1222[APS].
  25. I. G. Macdonald: Affine Hecke Algebras and Orthogonal Polynomials (Cambridge University Press, Cambridge, 2003).
  26. T. H. Baker, C. F. Dunkl and P. J. Forrester: Calogero Sutherland Models, ed. J. F. van Diejen and L. Vinet (Springer-Verlag, Berlin, 2000).
  27. P. J. Forrester: Phys. Lett. A 196 (1994) 353[Elsevier].
  28. Z. N. C. Ha: Phys. Rev. Lett. 73 (1995) 1574 [APS][ Erratum; 74 (1995) 620[APS]].
  29. Z. N. C. Ha: Nucl. Phys. B 435 (1995) 604[CrossRef].
  30. F. Lesage, V. Pasquier and D. Serban: Nucl. Phys. B 435 (1995) 585[CrossRef].
  31. Y. Kato, T. Yamamoto and M. Arikawa: J. Phys. Soc. Jpn. 66 (1997) 1954[IPAP].
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