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Modified Heisenbeg Model and the Structure of Its Energy Spectrum

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Abstract

In this paper, we show the interesting structure of energy spectrum for a modified Heisenberg XX model, explicit examples for low dimensions N=2,3,…,6 are also provided.

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References

  1. Bethe, H.: Z. Phys. 71, 205 (1931)

    Article  MATH  ADS  Google Scholar 

  2. Faddeev, L.D., Takhtajan, L.A.: J. Sov. Math. 24, 241 (1984)

    Article  MATH  Google Scholar 

  3. Schulz, H.J.: Phys. Rev. B 34, 6372 (1986)

    Article  ADS  Google Scholar 

  4. Affleck, I., Lieb, E.H.: Lett. Math. Phys. 12, 57 (1986)

    Article  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. Alcaraz, F.C., Barber, M.N., Batchelor, M.T.: Ann. Phys. 182, 280 (1988)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. Shastry, B.B.: Phys. Rev. Lett. 60, 639 (1988)

    Article  ADS  Google Scholar 

  8. Essler, F.H.L., Korepin, V.E., Schoutens, K.: J. Phys. A 25, 4115 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  9. Tennant, D.A., Perring, T.G., Cowley, R.A., Nagler, S.E.: Phys. Rev. Lett. 70, 4003 (1993)

    Article  ADS  Google Scholar 

  10. Grabowski, M.P., Mathieu, P.: Ann. Phys. 243, 299–371 (1988)

    ADS  MathSciNet  Google Scholar 

  11. Hosotani, Y.: cond-mat/9707129

  12. Arnesen, M.C., Bose, S., Vedral, V.: Phys. Rev. Lett. 87, 017901 (2001)

    Article  ADS  Google Scholar 

  13. Chen, J.L., Ge, M.L., Xue, K.: Phys. Rev. E 60, 1486 (1999)

    Article  ADS  Google Scholar 

  14. Wang, X.: Phys. Rev. A 64, 012313 (2001)

    Article  ADS  Google Scholar 

  15. Wang, X.: Phys. Lett. A 281, 101 (2001)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. Loss, D., DiVincenzo, D.P.: Phys. Rev. A 57, 120 (1998)

    Article  ADS  Google Scholar 

  17. Burkard, G., Loss, D., DiVincenzo, D.P.: Phys. Rev. B 59, 2070 (1999)

    Article  ADS  Google Scholar 

  18. Kane, B.E.: Nature (London) 393, 133 (1998)

    Article  ADS  Google Scholar 

  19. Sorensen, A., Molmer, K.: Phys. Rev. Lett. 83, 2274 (1999)

    Article  ADS  Google Scholar 

  20. Imamoglu, A., Awschalom, D.D., Burkard, G., DiVincenzo, D.P., Loss, D., Sherwin, M., Small, A.: Phys. Rev. Lett. 83, 4204 (1999)

    Article  ADS  Google Scholar 

  21. Christandl, M., Datta, N., Ekert, A., Landahl, A.J.: Phys. Rev. Lett. 92, 187902 (2004)

    Article  ADS  Google Scholar 

  22. Wu, C.F., Chen, J.L., Tong, D.M., Kwek, L.C., Oh, C.H.: J. Phys. A: Math. Gen. 37, 11475 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. Zukowski, M., Brukner, C.: Phys. Rev. Lett. 88, 210401 (2002)

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Mathematics and Information, Hebei Normal University, Shijiazhuang, 050016, China

    Xue-Hong Wang

  2. Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, 117542, Singapore

    Chunfeng Wu

Authors
  1. Xue-Hong Wang
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  2. Chunfeng Wu
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Correspondence to Xue-Hong Wang.

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Wang, XH., Wu, C. Modified Heisenbeg Model and the Structure of Its Energy Spectrum. Int J Theor Phys 46, 2967–2975 (2007). https://doi.org/10.1007/s10773-007-9411-5

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  • DOI: https://doi.org/10.1007/s10773-007-9411-5

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