Integrability Test for Spin Chains

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29 pages in plain TeX plus 1 uuencoded figure, uses macros harvmac.tex and epsf.tex

Scientific paper

10.1088/0305-4470/28/17/013

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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