Classifying integrable spin-1/2 chains with nearest neighbour interactions

@article{Leeuw2019ClassifyingIS,
title={Classifying integrable spin-1/2 chains with nearest neighbour interactions},
author={M. Leeuw and Anton Pribytok and Paul Ryan},
journal={Journal of Physics A},
year={2019},
volume={52},
pages={505201}
}

We classify all fundamental integrable spin chains with two-dimensional local Hilbert space which have regular R-matrices of difference form. This means that the R-matrix underlying the integrable structures is of the form R(u,v)=R(u-v) and reduces to the permutation operator at some particular point. We find a total of 14 independent solutions, 8 of which correspond to well-known eight or lower vertex models. The remaining 6 models appear to be new and some have peculiar properties such as not… Expand