Lax pair formulation for the Heisenberg magnetic chain with impurities

Some explicit results on the Lax pairs for the Heisenberg magnetic chain with impurities are presented. This provides a direct proof for the integrability of the model. Also, the first nontrivial conserved quantity next to the hamiltonian is constructed. Our results show that the correlation of the...

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Bibliographic Details
Published in:Physics letters. A 1989-01, Vol.134 (8), p.469-475
Main Authors: Zhou, Huan-Qiang, Jiang, Lin-Jie
Format: Article
Language:English
Subjects:
Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:Some explicit results on the Lax pairs for the Heisenberg magnetic chain with impurities are presented. This provides a direct proof for the integrability of the model. Also, the first nontrivial conserved quantity next to the hamiltonian is constructed. Our results show that the correlation of the impurities via the chain does exist.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(89)90687-7