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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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).
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).
V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge (1993).
N. Andrei and H. Johannesson, Phys. Lett. A, 100, 108 (1984).
G. Bedürftig, F. H. L. Essler, and H. Frahm, Phys. Rev. Lett., 77, 5098 (1996); Nucl. Phys. B, 489, 697 (1997).
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).
M. Scheunert, W. Nahm, and V. Rittenberg, J. Math. Phys., 18, 155 (1977); M. Marcu, J. Math. Phys., 21, 1277 (1980).
C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett., 68, 1220 (1992).
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).
I. V. Cherednik, Theor. Math. Phys., 61, 977 (1984).
E. K. Sklyanin, J. Phys. A, 21, 2375 (1988).
A. González-Ruiz, Nucl. Phys. B, 424, 468 (1994).
F. H. L. Essler, J. Phys. A, 29, 6183 (1996).
G. Bedürftig and H. Frahm, J. Phys. A, 32, 4585 (1999).
F. Göhmann, M. Bortz, and H. Frahm, J. Phys. A, 38, 10879 (2005).
P. Schlottmann, Phys. Rev. B, 36, 5177 (1987).
F. H. L. Essler and H. Frahm, Phys. Rev. B, 56, 6631 (1997).
H. Frahm and G. Palacios, Phys. Rev. B, 73, 214419 (2006).
S. Eggert, I. Affleck, and M. Takahashi, Phys. Rev. Lett., 73, 332 (1994).
H. Frahm and N. A. Slavnov, J. Phys. A, 32, 1547 (1999).
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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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DOI: https://doi.org/10.1007/s11232-007-0022-3