2001•arXiv (Cornell University)Open access

Integrable generalised spin ladder models based on the SU(1|3) and\n SU(3|1) algebras

Arlei Prestes Tonel, Angela Foerster, Katrina Hibberd, Jon Links

Abstract

We present two integrable spin ladder models which possess a general free\nparameter besides the rung coupling J. The models are exactly solvable by means\nof the Bethe ansatz method and we present the Bethe ansatz equations. We\nanalyse the elementary excitations of the models which reveal the existence of\na gap for both models that depends on the free parameter.\n

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Key concepts: Bethe ansatz, Integrable system, Spin (aerodynamics), Mathematical physics, Coupling (piping), Physics, Ansatz, Spin model