Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes

  title={Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes},
  author={Xiao-Ping Liu and Yuan Zhou and Yi-Fei Wang and Chang-de Gong},
  journal={arXiv: Mesoscale and Nanoscale Physics},
The topological properties in topological superconductors are usually characterized by the bulk Chern numbers, edge-state spectra, and Majorana zero modes. Whether they are equivalent or inequivalent is not well understood. Here, we investigate this issue with focus on a checkerboard-lattice model combining the Chern insulator and chiral $p$-wave superconductivity. Multiple topologically superconducting phases with Chern numbers up to $\mathcal{N}=4$ are produced. We explicitly demonstrate the… 
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