RT Journal Article T1 States and energies of the periodic Hubbard model at half filling A1 Álvarez Galindo, Gabriel A1 Guil Guerrero, Francisco AB 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. PB Elsevier SN 0550-3213 YR 1996 FD 1996-07-12 LK https://hdl.handle.net/20.500.14352/59739 UL https://hdl.handle.net/20.500.14352/59739 LA eng NO [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. NO ©1996 Elsevier Science B.V. DS Docta Complutense RD 3 may 2024