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Integrable su(2)-invariant spin chains and the Haldane conjecture
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Integrable su(2)-invariant spin chains and the Haldane conjecture
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We perform a systematic exact algebraic search for integrable spin-S chains which are isotropic in spin space, i.e. are su(2)-invariant. The families of spin chains found for S < 14 support recent arguments in favour of the complete classification of all such integrable chains. The integrable families of spin chains are discussed in the light of the conjectured spin-dependent properties of the Heisenberg chain.
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Cited by 1 Pith paper
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A Simple Necessary and Sufficient Condition for Yang--Baxter Integrability
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.
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