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R-matrices for integrable $SU(2)\times U(1)$-symmetric S=1/2 spin-orbital chains

P. N. Bibikov
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Abstract

The Yang-Baxter equation for a $SU(2)\times U(1)$-symmetric $S=1/2$ spin-orbital chain was solved using the special computer algorithm developed by the author. The 8 new $R$-matrices separated on 5 groups are presented. Among the obtained integrable models there are special cases related to 1D ferromagnet ${\rm TDAE-C}_{60}$, 1D superconductors ${\rm AC}_{60}$ (A=K, Cs, Rb), the quarter filled ladder compound ${\rm NaV}_2{\rm O}_5$ and the model of correlated electrons on a chain of Berry phase molecules.

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P. N. Bibikov. 2007-05-14. R-matrices for integrable $SU(2)\times U(1)$-symmetric S=1/2 spin-orbital chains. https://doi.org/10.1088/1751-8113%2F40%2F18%2F001

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