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States and energies of the periodic Hubbard model at half filling

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1996-07-12
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Elsevier
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The representation of the periodic Hubbard model in the Clifford algebra leads to explicit expressions for several families of non-trivial half-filled states in any number of dimensions. A generalization of these expressions explains the structure of the spectrum of the general Hubbard hamiltonian.
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©1996 Elsevier Science B.V.
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[l] D.C. Mattis, ed., The many-body problem (World Scientific, Singapore, 1993). [2] V.E. Korepin and EH. EBler, eds., Exactly solvable models of strongly correlated electrons (World Scientific, Singapore, 1994). [3 ] E.H. Lieb, in Proceedings of the Xlth International Congress of Mathematical Physics, ed. D. lagolnitzer (International Press, Boston, 1995). [4] E.H. Lieb and EY. Wu, Phys. Rev. Leu. 20 (1968) 1445. [5] C.N. Yang, Phys. Rev. Lett. 63 (1989) 2144. [6] E.H. Lieb, Phys. Rev. Lett. 62 (1989) 1021. [7] A. Mielke and H. Tasaki, Commun. Math. Phys. 158 (1993) 341. [8] F. Guil and G. Alvarez, Nuc. Phys. B 458 (1996) 609. [9] C.N. Yang and S.C. Zhang, Mod. Phys. Lett. B 4 (1990) 759. [10] W. Fulton and J. Harris, Representation Theory (Springer, Berlin, 1991 ). [11] G. Fano, F. Ortolani and A. Parola, Phys. Rev. B 46 (1992) 1048.
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