Yangian symmetry and quantum inverse scattering method for the one-dimensional Hubbard model
作者： Frank Göhmann , Shuichi Murakami
DOI: 10.1016/S0375-9601(96)00953-X
关键词: Monodromy matrix 、 Yangian 、 Hubbard model 、 Physics 、 Quantum 、 Hamiltonian (quantum mechanics) 、 Quantum inverse scattering method 、 Mathematical physics 、 Quantum mechanics
摘要: Abstract We develop the quantum inverse scattering method for one-dimensional Hubbard model on infinite interval at zero density. The R -matrix and monodromy matrix are obtained as limits from their known counterparts finite interval. greatly simplifies in considered limit. new contains a submatrix which turns into rational of XXX -chain by an appropriate reparametrization. corresponding thus provides representation Y(su(2)) Yangian. From its determinant we obtain series mutually commuting Yangian invariant operators includes Hamiltonian.
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sci-hub.st 参考文章(35)
Chen Ning Yang, η pairing and off-diagonal long-range order in a Hubbard model Physical Review Letters. ,vol. 63, pp. 2144- 2147 ,(1989) , 10.1103/PHYSREVLETT.63.2144
Vyjayanthi Chari, A. Pressley, Fundamental representations of Yangians and singularities of R-matrices Crelle's Journal. ,vol. 417, pp. 87- 128 ,(1991)
Ludwig D. Faddeev, Leon A. Takhtajan, Hamiltonian methods in the theory of solitons ,(1987)
Fabian H. L. Eβler, Vladimir E. Korepin, Scattering matrix and excitation spectrum of the Hubbard model. Physical Review Letters. ,vol. 72, pp. 908- 911 ,(1994) , 10.1103/PHYSREVLETT.72.908
Alexios P. Polychronakos, Exchange operator formalism for integrable systems of particles Physical Review Letters. ,vol. 69, pp. 703- 705 ,(1992) , 10.1103/PHYSREVLETT.69.703
Florian Gebhard, Andrei E. Ruckenstein, Exact results for a Hubbard chain with long-range hopping. Physical Review Letters. ,vol. 68, pp. 244- 247 ,(1992) , 10.1103/PHYSREVLETT.68.244
P.-A Bares, F Gebhard, Asymptotic Bethe-Ansatz Results for a Hubbard Chain with 1/sinh-Hopping EPL. ,vol. 29, pp. 573- 578 ,(1995) , 10.1209/0295-5075/29/7/011
Tetsuji Miwa, Kei Miki, Atsushi Nakayashiki, Michio Jimbo, Correlation functions of the XXZ model for Δ < − 1 Physics Letters A. ,vol. 168, pp. 256- 263 ,(1992) , 10.1016/0375-9601(92)91128-E
D. Uglov, Finite difference representations of the degenerate affine Hecke algebra Physics Letters A. ,vol. 199, pp. 353- 359 ,(1995) , 10.1016/0375-9601(95)00143-Q
B. Sriram Shastry, Decorated Star-Triangle Relations and Exact Integrability of the One-Dimensional Hubbard Model Journal of Statistical Physics. ,vol. 50, pp. 57- 79 ,(1988) , 10.1007/BF01022987