Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases

  title={Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases},
  author={Sourav Bhattacharjee and Souvik Bandyopadhyay and Diptiman Sen and Amit Kumar Dutta},
  journal={arXiv: Statistical Mechanics},
We present a complete topological characterization of a bilayer composite of two Chern insulators (specifically, Haldane models) and explicitly establish the bulk-boundary correspondences. We show that the non-Abelian Chern number (NACN) accurately maps out all the possible phases of the system as it remains well-defined even in the presence of degeneracies in the occupied bands. Importantly, our result paves the way for realizing adiabatic preparation of monolayer Chern insulators. This has… 

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