Abstract
The Yang–Baxter equation for an SU(2) × U(1)-symmetric spin-orbital chain was solved using the special computer algorithm developed by the author. The seven new R-matrices separated into four groups are presented. Among the obtained integrable models there are special cases related to 1D ferromagnet TDAE-C60, 1D superconductors AC60 (A = K, Cs, Rb), the quarter-filled ladder compound NaV2O5 and the model of correlated electrons on a chain of Berry phase molecules.
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