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

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

1999-11-03

arxiv.org/abs/cond-mat/9911043v1

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.

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