Topological phases of the compass ladder model

@article{Haghshenas2015TopologicalPO,
  title={Topological phases of the compass ladder model},
  author={Reza Haghshenas and Abdollah Langari and Ali T. Rezakhani},
  journal={arXiv: Strongly Correlated Electrons},
  year={2015}
}
We characterize phases of the compass ladder model by using degenerate perturbation theory, symmetry fractionalization, and numerical techniques. Through degenerate perturbation theory we obtain an effective Hamiltonian for each phase of the model, and show that a cluster model and the Ising model encapsulate the nature of all phases. In particular, the cluster phase has a symmetry-protected topological order, protected by a specific $\mathbb{Z}_2\times \mathbb{Z}_2$ symmetry, and the Ising… 
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