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Absence of nontrivial local conserved quantities in the spin-1 bilinear-biquadratic chain and its anisotropic extensions

Akihiro Hokkyo1,*, Mizuki Sanatani2,†, and Yuuya Chiba3,‡

  • 1Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-8654, Japan
  • 2Department of Basic Science, Department of Multidisciplinary Sciences, Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8902, Japan
  • 3Nonequilibrium Quantum Statistical Mechanics RIKEN Hakubi Research Team, Pioneering Research Institute (PRI), RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan

  • *Contact author: hokkyo@cat.phys.s.u-tokyo.ac.jp
  • †Contact author: yamaguchi-q@g.ecc.u-tokyo.ac.jp
  • ‡Contact author: yuya.chiba@riken.jp

Dichotomy theorem separating complete integrability and nonintegrability of isotropic spin chains

Naoto Shiraishi and Mizuki Sanatani

Phys. Rev. B 113 L241111 (2026)

The $$S=\frac{1}{2}$$ XY and XYZ Models on the Two- or Higher-Dimensional Hypercubic Lattice Do Not Possess Nontrivial Local Conserved Quantities

Naoto Shiraishi and Hal Tasaki

Ann. Henri Poincaré (2026)

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