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

P. N. Bibikov

doi:10.1088/1751-8113/40/18/001

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

Strongly Correlated Electrons 2009-11-11 v2

Authors: 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.

Keywords

R-matrix Yang-Baxter equation spin-orbital chain integrable model SU(2)xU(1) symmetry

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@article{arxiv.cond-mat/0612067,
  title  = {R-matrices for integrable $SU(2)\times U(1)$-symmetric S=1/2 spin-orbital chains},
  author = {P. N. Bibikov},
  journal= {arXiv preprint arXiv:cond-mat/0612067},
  year   = {2009}
}

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10 pages

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

Abstract

Keywords

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