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
3 Citations
Classifying Nearest-Neighbor Interactions and Deformations of AdS.
  • 5
  • PDF
Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry
  • 3
  • Highly Influenced
  • PDF
Yang-Baxter and the Boost: splitting the difference
  • 2
  • PDF

References

SHOWING 1-10 OF 25 REFERENCES
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity
  • 12
  • Highly Influential
  • PDF
Integrability test for spin chains
  • 35
  • Highly Influential
  • PDF
Solutions to the constant Yang-Baxter equation in all dimensions
  • 2
  • PDF
Integrable graded magnets
  • 126
...
1
2
3
...