Exact solutions of graded Temperley-Lieb Hamiltonians

Nuclear Physics B

Volumn 522, Issue 3, 1998, Pages 503-532

  Lima Santos, A ^a  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

Author keywords

Bethe ansatz; Graded algebra; Spin chains

Indexed keywords

EID: 0032490471     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00240-5     Document Type: Article

References (32)

1. [1] J.G. Bednorz and K.A. Müller, Z. Phys. B 64 (1986) 189.
2. [2] P.W. Anderson, Phys. Rev. Lett. 65 (1990) 2306.
3. [3] E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20 (1968) 1445.
4. [4] P. Schlottmann, Phys. Rev. B 36 (1968) 5177.
5. [5] P.A. Bares and G. Blatter, Phys. Rev. Lett. 64 (1990) 1567.
6. [6] F.H.L. Essler, V.E. Korepin and K. Schoutens, Phys. Rev. Lett. 68 (1992) 2960; 70 (1993) 73.
7. [6] F.H.L. Essler, V.E. Korepin and K. Schoutens, Phys. Rev. Lett. 68 (1992) 2960; 70 (1993) 73.
8. [7] A.J. Bracken, M.D. Gould, J.R. Links and Y.-Z. Zhang, Phys. Rev. Lett. 74 (1995) 2769.
9. [8] F.H.L. Essler and V.E. Korepin, Phys. Rev. B 46 (1992) 9147.
10. [9] A. Foerster and M. Karowski, Phys. Rev. B 46 (1992) 9234; Nucl. Phys. B 396 (1993) 611.
11. [9] A. Foerster and M. Karowski, Phys. Rev. B 46 (1992) 9234; Nucl. Phys. B 396 (1993) 611.
12. [10] R.Z. Bariev, A. Klümper, A. Schadschneider and J. Zittartz, J. Phys. A: Math. Gen. 26 (1993) 1249.
13. [11] I.N. Karnaukhov, Phys. Rev. Lett. 73 (1994) 1130.
14. [12] L. Arrachea and A.A. Aligia, Phys. Rev. Lett. 73 (1994) 2240.
15. [13] J. de Boer, V.E. Korepin and A. Schadschneider, Phys. Rev. Lett. 74 (1995) 789.
16. [14] M.D. Gould, K.E. Hibberd, J.R. Links and Y.-Z. Zhang, Phys. Lett. A 212 (1996) 156.
17. [15] J. Links, J. Phys. A: Math. Gen. 29 (1996) L69.
18. [16] A. Foerster, J. Links and I. Roditi, Mod. Phys. Lett. A 12 (1997) 1035.
19. [17] J. Links and A. Foerster, J. Phys. A: Math. Gen. 30 (1997) 2483.
20. [18] A. Lima-Santos and R.C.T. Ghiotto, J. Phys. A: Math. Gen. 31 (1998) 502.
21. [19] F.C. Alcaraz and V. Rittenberg, Phys. Lett. B 314 (1993) 377.
22. [20] H.N.V. Temperley and E.H. Lieb, Proc. R. Soc. London Ser. A 322 (1971) 251.
23. [21] R.J. Baxter, J. Stat. Phys. 28 (1982) 1.
24. [22] M.T. Batchelor and A. Kuniba, J. Phys. A: Math. Gen. 24 (1991) 2599.
25. [23] R.B. Zhang, J. Math. Phys. 32 (1991) 2605.
26. [24] M.J. Martins and P.B. Ramos, Nucl. Phys. B 500 [PM] (1997) 579.
27. [25] L. Frappat and P. Sorba, Dictionary on Lie Superalgebras, hep-th/9607161.
28. [26] H. Grosse, S. Pallua, P. Prester and E. Raschhofer, J. Phys. A: Math. Gen. 27 (1994) 4761.
29. [27] P.P. Martin Potts Models and Related Problems in Statistical Mechanics (World Scientific, Singapore, 1991).
30. [28] R. Köberle and A. Lima-Santos, J. Phys. A: Math. Gen. 29 (1996) 519.
31. [29] F.C. Alcaraz, M.N. Barber, M.T. Batchelor, R.J. Baxter and G.R. Quispel, J. Phys. A: Math. Gen. 20 (1987) 6397.
32. [30] T. Hakobyan and A. Sedrakyan, Phys. Lett. B 377 (1996) 250.