Geodesic
Integrable Anderson-type impurity in the supersymmetric $t$–$J$ model
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 338-352 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We solve an integrable $gl(2\mid 1)$-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.
Keywords: Kondo effect, quantum impurity, Bethe ansatz, boundary condition. 
@article{TMF_2007_150_2_a11,
     author = {H. Frahm and G. Palacios},
     title = {Integrable {Anderson-type} impurity in the~supersymmetric $t${\textendash}$J$ model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {338--352},
     year = {2007},
     volume = {150},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a11/}
}
TY  - JOUR
AU  - H. Frahm
AU  - G. Palacios
TI  - Integrable Anderson-type impurity in the supersymmetric $t$–$J$ model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2007
SP  - 338
EP  - 352
VL  - 150
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a11/
LA  - ru
ID  - TMF_2007_150_2_a11
ER  - 
%0 Journal Article
%A H. Frahm
%A G. Palacios
%T Integrable Anderson-type impurity in the supersymmetric $t$–$J$ model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2007
%P 338-352
%V 150
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a11/
%G ru
%F TMF_2007_150_2_a11
H. Frahm; G. Palacios. Integrable Anderson-type impurity in the supersymmetric $t$–$J$ model. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 338-352. http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a11/

[1] A. M. Tsvelick, P. B. Wiegmann, Adv. Phys., 32 (1983), 453 ; N. Andrei, K. Furuya, J. H. Lowenstein, Rev. Mod. Phys., 55 (1983), 331 ; I. Affleck, A. W. W. Ludwig, Nucl. Phys. B, 352 (1991), 849 ; A. O. Gogolin, A. A. Nersesyan, A. M. Tsvelik, Bosonization and strongly correlated systems, Cambridge Univ. Press, Cambridge, 1998 | DOI | DOI | MR | DOI | MR | MR

[2] J. Li, W.-D. Schneider, R. Berndt, B. Delley, Phys. Rev. Lett., 80 (1998), 2893 | DOI

[3] V. E. Korepin, N. M. Bogoliubov, A. G. Izergin, Quantum inverse scattering method and correlation functions, Cambridge Univ. Press, Cambridge, 1993 | MR | Zbl

[4] N. Andrei, H. Johannesson, Phys. Lett. A, 100 (1984), 108 | DOI | MR

[5] G. Bedürftig, F. H. L. Eßler, H. Frahm, Phys. Rev. Lett., 77 (1996), 5098 ; Nucl. Phys. B, 489 (1997), 697 | DOI | DOI

[6] P. Schlottmann, A. A. Zvyagin, Phys. Rev. B, 55 (1997), 5027 ; A. Foerster, J. Links, A. P. Tonel, Nucl. Phys. B, 552 (1999), 707 | DOI | DOI | MR | Zbl

[7] M. Scheunert, W. Nahm, V. Rittenberg, J. Math. Phys., 18 (1977), 155 ; M. Marcu, J. Math. Phys., 21 (1980), 1277 | DOI | MR | Zbl | DOI | MR | Zbl

[8] C. L. Kane, M. P. A. Fisher, Phys. Rev. Lett., 68 (1992), 1220 | DOI

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

[10] I. V. Cherednik, TMF, 61 (1984), 35 | MR | Zbl

[11] E. K. Sklyanin, J. Phys. A, 21 (1988), 2375 | DOI | MR | Zbl

[12] A. González-Ruiz, Nucl. Phys. B, 424 (1994), 468 | DOI | MR | Zbl

[13] F. H. L. Eßler, J. Phys. A, 29 (1996), 6183 | DOI | MR | Zbl

[14] G. Bedürftig, H. Frahm, J. Phys. A, 32 (1999), 4585 | DOI | MR | Zbl

[15] F. Göhmann, M. Bortz, H. Frahm, J. Phys. A, 38 (2005), 10879 | DOI | MR | Zbl

[16] P. Schlottmann, Phys. Rev. B, 36 (1987), 5177 | DOI

[17] F. H. L. Eßler, H. Frahm, Phys. Rev. B, 56 (1997), 6631 | DOI

[18] H. Frahm, G. Palacios, Phys. Rev. B, 73 (2006), 214419 | DOI

[19] S. Eggert, I. Affleck, M. Takahashi, Phys. Rev. Lett., 73 (1994), 332 | DOI

[20] H. Frahm, N. A. Slavnov, J. Phys. A, 32 (1999), 1547 | DOI | MR | Zbl