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Integrability Test for Spin Chains

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arxiv hep-th/9412039 v1 pith:2XF5O4G2 submitted 1994-12-05 hep-th cond-mat

Integrability Test for Spin Chains

M. P. Grabowski , P. Mathieu This is my paper
classification hep-th cond-mat
keywords testchainsfamilyintegrabilityinteractionsmodelsspin-1alternation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We examine a simple heuristic test of integrability for quantum chains. This test is applied to a variety of systems, including a generic isotropic spin-1 model with nearest-neighbor interactions and a multiparameter family of spin-1/2 models generalizing the XYZ chain, with next-to-nearest neighbor interactions and bond alternation. Within the latter family we determine all the integrable models with an o(2) symmetry.

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Cited by 5 Pith papers

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    hep-th 2026-05 unverdicted novelty 5.0

    A modified boost-operator method yields new integrable anyonic chains (including su(2)_k spin-3/2, TY(Z_n), Fib×Fib, Fib×Ising) and a criterion for when Temperley-Lieb algebras appear.

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