2001•arXiv (Cornell University)Open access

Integrable generalised spin ladder models based on the SU(1|3) and 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 parameter besides the rung coupling J. The models are exactly solvable by means of the Bethe ansatz method and we present the Bethe ansatz equations. We analyse the elementary excitations of the models which reveal the existence of a gap for both models that depends on the free parameter.

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