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R-matrices for integrableSU(2) ×U(1)-symmetric spin-orbital chains

2006/12/31 by P. N. Bibikov, P N Bibikov
Materials Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Organic and Molecular Conductors Research #Quantum Mechanics and Non-Hermitian Physics #cond-mat.str-el

paper · pdf · doi:10.1088/1751-8113/40/18/001

published as J. Phys. A, 40, 4683 (2007) · 10 pages

openalex publication_date 2007/04/17 · arxiv created 2007/05/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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-C 60 , 1D superconductors AC 60 (A = K, Cs, Rb), the quarter-filled ladder compound NaV 2 O 5 and the model of correlated electrons on a chain of Berry phase molecules.

Citations