Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-11-03
J. Phys. A 33 (2000) L97-L101
Physics
Condensed Matter
Statistical Mechanics
7 pages, Latex
Scientific paper
10.1088/0305-4470/33/12/101
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.
Batchelor Murray T.
de Gier Jan
Links Jon
Maslen M.
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