Conservation laws of the Haldane-Shastry type spin chains

2008/11/27 by Jun Cao, Cao, Junpeng, Peng He +5
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Nonlinear Waves and Solitons #Numerical methods for differential equations #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.0811.4476

openalex publication_date 2008/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A systematic method to construct the complete set of conserved quantities of the Haldane-Shastry type spin chains is proposed. The hidden relationship between the Yang-Baxter relation and the conservation laws of the long-range interacting integrable models is exposed explicitly. An integrable anisotropic Haldane-Shastry model is also constructed.

Related

• Integrability from a Single Conservation Law in Quantum Spin Chains
• Integrable su(2)-invariant spin chains and the Haldane conjecture
• Dichotomy theorem separating complete integrability and non-integrability of isotropic spin chains
• The trigonometric counterpart of the Haldane Shastry Model
• Integrability and Applications of the Exactly-Solvable Haldane-Shastry\n One-Dimensional Quantum Spin Chain