Solution of a two leg spin ladder system

Abstract

A new model for a spin 1/2 ladder system with two legs is introduced. It is demonstrated that this model is solvable via the Bethe ansatz method for arbitrary values of the rung coupling J. This is achieved by a suitable mapping from the Hubbard model with appropriate twisted boundary conditions. We determine that a phase transition between gapped and gapless spin excitations occurs at the critical value J_c=1/2 of the rung coupling.

arXiv comment8 pages, LaTex

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• Field-Induced gap due to four-spin exchange in a spin ladder
• Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter
• Exactly solvable su(N) mixed spin ladders
• Magnetization Plateaux in Bethe Ansatz Solvable Spin-S Ladders
• Thermodynamic properties of an integrable quantum spin ladder with boundary impurities
• Quantum phase diagram of an exactly solved mixed spin ladder
• Multi-leg integrable ladder models
• Magnetic Susceptibility of an integrable anisotropic spin ladder system
• Chain and ladder models with two-body interactions and analytical ground states