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R-matrices for integrable axially symmetric S=1 spin chains

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arxiv 1408.4385 v1 pith:IUR2VN65 submitted 2014-08-19 cond-mat.str-el

P. N. Bibikov , A. G. Nuramatov This is my paper · ORCID
classification cond-mat.str-el
keywords axiallyintegrablespinsymmetricchainchainscompletelycondition
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abstract

The Reshetikhin condition for the general Hamiltonian density matrix of the $S=1$ axially symmetric spin chain is completely solved. 16 new integrable models and corresponding $R$-matrices are presented.

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Cited by 2 Pith papers

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  1. A Simple Necessary and Sufficient Condition for Yang--Baxter Integrability

    cond-mat.stat-mech 2026-07 conditional novelty 8.0 of 10

    The Reshetikhin condition on a nearest-neighbour spin-chain Hamiltonian is sufficient (and necessary) for the existence of a regular difference-form Yang–Baxter R-matrix, resolving a 1980s conjecture.

  2. Dichotomy theorem separating complete integrability and non-integrability of isotropic spin chains

    cond-mat.stat-mech 2025-04 reject novelty 8.0 of 10

    For SU(2)-invariant nearest-neighbor spin chains of any spin S, the single condition D3=0 decides between complete integrability and complete non-integrability.

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