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Integrable Anderson-type impurity in the supersymmetric t-J model

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Abstract

We solve an integrable gl(2|1)-symmetric model of correlated electrons with an Anderson-type impurity constructed in the framework of the algebraic Bethe ansatz. Depending on the parameters characterizing the impurity and its coupling to the chain, we observe the formation of bound states in the spectrum of the system. We study the effect of these bound states on the contribution of the impurity to the low-temperature characteristics of the system, in particular, its magnetization and susceptibility.

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References

  1. A. M. Tsvelick and P. B. Wiegmann, Adv. Phys., 32, 453 (1983); N. Andrei, K. Furuya, and J. H. Lowenstein, Rev. Modern Phys., 55, 331 (1983); I. Affleck and A. W. W. Ludwig, Nucl. Phys. B, 352, 849 (1991); A. O. Gogolin, A. A. Nersesyan, and A. M. Tsvelik, Bosonization and Strongly Correlated Systems, Cambridge Univ. Press, Cambridge (1998).

    Article  ADS  Google Scholar 

  2. J. Li, W.-D. Schneider, R. Berndt, and B. Delley, Phys. Rev. Lett., 80, 2893 (1998); V. Madhavan, W. Chen, T. Jamneala, M. F. Crommie, and N. S. Wingreen, Science, 280, 567 (1998); D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu, D. Ambusch-Magder, U. Meirav, and M. A. Kastner, Nature, 391, 156 (1998).

    Article  ADS  Google Scholar 

  3. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge (1993).

    MATH  Google Scholar 

  4. N. Andrei and H. Johannesson, Phys. Lett. A, 100, 108 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  5. G. Bedürftig, F. H. L. Essler, and H. Frahm, Phys. Rev. Lett., 77, 5098 (1996); Nucl. Phys. B, 489, 697 (1997).

    Article  ADS  Google Scholar 

  6. P. Schlottmann and A. A. Zvyagin, Phys. Rev. B, 55, 5027 (1997); A. Foerster, J. Links, and A. P. Tonel, Nucl. Phys. B, 552, 707 (1999).

    Article  ADS  Google Scholar 

  7. M. Scheunert, W. Nahm, and V. Rittenberg, J. Math. Phys., 18, 155 (1977); M. Marcu, J. Math. Phys., 21, 1277 (1980).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett., 68, 1220 (1992).

    Article  ADS  Google Scholar 

  9. D.-H. Lee and J. Toner, Phys. Rev. Lett., 69, 3378 (1992); A. Furusaki and N. Nagaosa, Phys. Rev. Lett., 72, 892 (1994); P. Fröjdh and H. Johannesson, Phys. Rev. Lett., 75, 300 (1995); R. Egger and A. Komnik, Phys. Rev. B, 57, 10620 (1998).

    Article  ADS  Google Scholar 

  10. I. V. Cherednik, Theor. Math. Phys., 61, 977 (1984).

    Article  MATH  MathSciNet  Google Scholar 

  11. E. K. Sklyanin, J. Phys. A, 21, 2375 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  12. A. González-Ruiz, Nucl. Phys. B, 424, 468 (1994).

    Article  MATH  ADS  Google Scholar 

  13. F. H. L. Essler, J. Phys. A, 29, 6183 (1996).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  14. G. Bedürftig and H. Frahm, J. Phys. A, 32, 4585 (1999).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. F. Göhmann, M. Bortz, and H. Frahm, J. Phys. A, 38, 10879 (2005).

  16. P. Schlottmann, Phys. Rev. B, 36, 5177 (1987).

    Article  ADS  Google Scholar 

  17. F. H. L. Essler and H. Frahm, Phys. Rev. B, 56, 6631 (1997).

    Article  ADS  Google Scholar 

  18. H. Frahm and G. Palacios, Phys. Rev. B, 73, 214419 (2006).

  19. S. Eggert, I. Affleck, and M. Takahashi, Phys. Rev. Lett., 73, 332 (1994).

    Article  ADS  Google Scholar 

  20. H. Frahm and N. A. Slavnov, J. Phys. A, 32, 1547 (1999).

    Article  MATH  MathSciNet  ADS  Google Scholar 

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 338–352, February, 2007.

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Frahm, H., Palacios, G. Integrable Anderson-type impurity in the supersymmetric t-J model. Theor Math Phys 150, 288–300 (2007). https://doi.org/10.1007/s11232-007-0022-3

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