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.
R-matrices for integrable axially symmetric S=1 spin chains
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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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cond-mat.stat-mech 1years
2025 1verdicts
REJECT 1representative citing papers
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Dichotomy theorem separating complete integrability and non-integrability of isotropic spin chains
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.