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Quantum spin ladder systems associated with su(2|2)

Strongly Correlated Electrons 2007-05-23 v1

Abstract

Two integrable quantum spin ladder systems will be introduced associated with the fundamental su(2|2) solution of the Yang-Baxter equation. The first model is a generalized quantum Ising system with Ising rung interactions. In the second model the addition of extra interactions allows us to impose Heisenberg rung interactions without violating integrability. The existence of a Bethe ansatz solution for both models allows us to investigate the elementary excitations for antiferromagnetic rung couplings. We find that the first model does not show a gap whilst in the second case there is a gap for all positive values of the rung coupling.

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Cite

@article{arxiv.cond-mat/0010035,
  title  = {Quantum spin ladder systems associated with su(2|2)},
  author = {A. Foerster and K. E. Hibberd and J. R. Links and I. Roditi},
  journal= {arXiv preprint arXiv:cond-mat/0010035},
  year   = {2007}
}

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5 pages