English

An Exactly Solvable Model of Generalized Spin Ladder

Condensed Matter 2009-10-31 v2

Abstract

A detailed study of an S=12S={1\over2} spin ladder model is given. The ladder consists of plaquettes formed by nearest neighbor rungs with all possible SU(2)-invariant interactions. For properly chosen coupling constants, the model is shown to be integrable in the sense that the quantum Yang-Baxter equation holds and one has an infinite number of conserved quantities. The R-matrix and L-operator associated with the model Hamiltonian are given in a limiting case. It is shown that after a simple transformation, the model can be solved via a Bethe ansatz. The phase diagram of the ground state is exactly derived using the Bethe ansatz equation.

Keywords

Cite

@article{arxiv.cond-mat/9807341,
  title  = {An Exactly Solvable Model of Generalized Spin Ladder},
  author = {S. Albeverio and S. M. Fei and Y. P. Wang},
  journal= {arXiv preprint arXiv:cond-mat/9807341},
  year   = {2009}
}