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Integrability Test for Spin Chains

High Energy Physics - Theory 2009-10-28 v1 Condensed Matter

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9412039,
  title  = {Integrability Test for Spin Chains},
  author = {M. P. Grabowski and P. Mathieu},
  journal= {arXiv preprint arXiv:hep-th/9412039},
  year   = {2009}
}

Comments

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