Abstract
The commutativity of the 1-dimensional XY-h type Hamiltonian and the transfer matrix of a 2-dimensional spin-lattice model constructed from an R-matrix is studied by Sutherland's method. We generalize Krinsky's result to more general Hamiltonians and more general R matrices, and we obtain a generic condition on their parameters for the commutativity, which defines an irreducible algebraic manifold in the parameter space.
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References
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Araki, H., Tabuchi, T. Generalization of Krinsky's commutativity proof of transfer matrices with Hamiltonians. Found Phys 27, 1485–1494 (1997). https://doi.org/10.1007/BF02551495
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DOI: https://doi.org/10.1007/BF02551495