Conservation laws of the Haldane-Shastry type spin chains
Junpeng Cao, Peng He, Yuzhu Jiang, Yupeng Wang
TL;DR
This paper introduces a systematic method for deriving all conserved quantities in Haldane-Shastry spin chains, revealing their connection to the Yang-Baxter relation and constructing an integrable anisotropic model.
Contribution
It provides a comprehensive approach to identify conserved quantities and links them to the Yang-Baxter relation, also constructing a new anisotropic Haldane-Shastry model.
Findings
Complete set of conserved quantities derived
Explicit relationship between Yang-Baxter relation and conservation laws
Construction of an integrable anisotropic Haldane-Shastry model
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.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Numerical methods for differential equations