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

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 ${\mathrm{TDAE}-\mathrm{C}}_{60}$, 1D superconductors ${\mathrm{AC}}_{60}$ (A=K, Cs, Rb), the quarter filled ladder compound ${\mathrm{NaV}}_2{\mathrm{O}}_5$ and the model of correlated electrons on a chain of Berry phase molecules.

10 pages

Cited by in corpus (1)

• Three-magnon problem for exactly rung-dimerized spin ladders: from general outlook to Bethe Ansatze