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PreprintarXiv licencearXiv

Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain

  • T. S. Tavares
  • H. B. Abreu
  • G. A. P. Ribeiro
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Abstract

We consider the interaction-round-a-face version of the nineteen-vertex model and derive a new quantum spin-$1$ chain. In the isotropic limit, the associated spin chain can be seen as three coupled Babujian-Taktahjan spin chains with different boundary twists. We compute the ground state short-distance correlation functions of the isotropic model in the thermodynamic limit by exploiting the shared integrable structure between the models.

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Cite

BibTeXRIS
BibTeX
@misc{tavares2026correlation,
  title = {{Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain}},
  author = {T. S. Tavares and H. B. Abreu and G. A. P. Ribeiro},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03349},
  eprint = {2610.03349},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03349},
}
RIS
TY  - UNPB
TI  - Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain
AU  - T. S. Tavares
AU  - H. B. Abreu
AU  - G. A. P. Ribeiro
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03349
UR  - https://arxiv.org/abs/2610.03349
AB  - We consider the interaction-round-a-face version of the nineteen-vertex model and derive a new quantum spin-$1$ chain. In the isotropic limit, the associated spin chain can be seen as three coupled Babujian-Taktahjan spin chains with different boundary twists. We compute the ground state short-distance correlation functions of the isotropic model in the thermodynamic limit by exploiting the shared integrable structure between the models.
ER  -