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Integrability Test for Spin Chains

1994/12/05 by M. P. Grabowski, P. Mathieu · 2 citations
Physics and Astronomy · #cond-mat #hep-th

paper · pdf · doi:10.1088/0305-4470/28/17/013

published as J.Phys. A28 (1995) 4777-4798 · 29 pages in plain TeX plus 1 uuencoded figure, uses macros harvmac.tex and epsf.tex

arxiv created 1994/12/05 · arxiv updated 2009/11/30

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.

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