Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background

Xi Xiaoqiang; Shi Kangjie; Hou Boyu; Fan Heng

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2024年10月30日

Chinese Physics C> 1999, Vol. 23> Issue(10) : 961-979

Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background

Institute of Modern Physics, Northwest University, Xian 710069

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Abstract：
In the framwork of the graded quantum inverse scattering method (QISM),we obtain the eigenvalues and eigenvectors of supersymmetric t-J model with reflecting boundary conditions in FBF background. The corresponding Bethe ansatz equation are also obtained.

References

[1]

Anderson P W. Science, 1987, 235:1196—1209; Phys. Rev. Lett., 1990, 65:2306—2315 2 Zhang F C, Rice T M. Phys. Rev., 1998, B37:3759─37723 Essler F H L, Korepin V E. Phys. Rev., 1992, B46:9147—91654 Sklyanin E K J. Phys., 1988, A21:2375─2389 5 Vega H J de. Int. J. Mod. Phys., 1989, A4:2371—2386; Ghoshal S, Zamolodchikov A. Int.J. Mod. Phys.,1994, A9:3841—3885; Shiroishi M, Wadati M.J. Phys. Soc. Jpn., 1997(1), 66:1—236 Jimbo M, Kedem K, Kojima T et al. Nucl. Phys., 1995, B441:437─4707 Fan H, Hou B Y, Shi K J et al. NucL. Phys., 1996, B478:723—757; Yue R H, Fan H, Hou B Y. Nucl.PhyS., 1996, B462: 167—192; Fan H. Nucl. Phys., 1997, B488:409—425; Fan H, Hou B Y,Shi K J. Nucl.Phys., 1997, B496[PM]:551—5708 Yang C N, Yang C P. Phys. Rev., 1996, 105:321—347; 1996, 151:258—279 9 Baxter R J. Exactly Slowed Models in Statistical Mechanics. London: Academic Press, 1982 10 Takhtajan L A, Faddeev L D.Russ.Math. Surv., 1979,34: 11—29;Korepin V E, lzergin G,Bogoliubov N M.Quantum Inverse Scattring Method, CorrelationFunctions and Algebraic Bethe Ansaz. Cambridge: Cambridge University Press, 1992. 11 Cherednik I V. Theor. Math. Phys., 1983, 17:77─101; 1984, 61:911─93612 Perk J H, Shultz C L. Phys. Lett., 1981, A84:3759—3776

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Xi Xiaoqiang, Shi Kangjie, Hou Boyu and Fan Heng. Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background[J]. Chinese Physics C, 1999, 23(10): 961-979.

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Received: 1998-08-10
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background

Corresponding author: Xi Xiaoqiang,

Institute of Modern Physics, Northwest University, Xian 710069

Received Date: 1998-08-10
Accepted Date: 1900-01-01
Available Online: 1999-10-05

Abstract: In the framwork of the graded quantum inverse scattering method (QISM),we obtain the eigenvalues and eigenvectors of supersymmetric t-J model with reflecting boundary conditions in FBF background. The corresponding Bethe ansatz equation are also obtained.