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Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras

M. T. Batchelor·J. de Gier·J. Links·M. Maslen
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Abstract

We extend the results of spin ladder models associated with the Lie algebras $su(2^n)$ to the case of the orthogonal and symplectic algebras $o(2^n),\ sp(2^n)$ where n is the number of legs for the system. Two classes of models are found whose symmetry, either orthogonal or symplectic, has an explicit n dependence. Integrability of these models is shown for an arbitrary coupling of XX type rung interactions and applied magnetic field term.

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M. T. Batchelor, J. de Gier, J. Links, M. Maslen. 1999-11-03. Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras. https://doi.org/10.1088/0305-4470%2F33%2F12%2F101

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