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Multiplicity A_m Models

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arxiv solv-int/9805009 v3 pith:Q5OR5ATM submitted 1998-05-19 solv-int cond-matmath.QAnlin.SI

Z. Maassarani (Laval University) This is my paper · ORCID
classification solv-intcond-matmath.QAnlin.SI
keywords modelsmethodalgebraalgebraicalgebrasansatzbethecarried
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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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  1. Weak ergodicity breaking with isolated integrable sectors

    cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

    Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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