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

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

2006-12-03

arxiv.org/abs/cond-mat/0612067v2

J. Phys. A, 40, 4683 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages

Scientific paper

10.1088/1751-8113/40/18/001

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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