Physics – Condensed Matter
Scientific paper
1998-05-19
Eur. Phys. J. B vol. 7 (1999) 627-633 - Erratum: vol. 9 (1999) 371
Physics
Condensed Matter
11 pages, Latex, one figure. Some clarifications added
Scientific paper
Models generalizing the su(2) XX spin-chain were recently introduced. These XXC models also have an underlying su(2) structure. Their construction method is shown to generalize to the chains based on the fundamental representations of the A_m Lie algebras. Integrability of the new models is shown in the context of the quantum inverse scattering method. Their R-matrix is found and shown to yield a representation of the Hecke algebra. The diagonalization of the transfer matrices is carried out using the algebraic Bethe Ansatz. I comment on eventual generalizations and possible links to reaction-diffusion processes.
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