Topological Mid-gap States of Topological Insulators with Flux-Superlattice
arXiv:1312.4360 · doi:10.1209/0295-5075/105/47002
Abstract
In this paper based on the Haldane model, we study the topological insulator with superlattice of pi-fluxes. We find that there exist the mid-gap states induced by the flux-superlattice. In particular, the mid-gap states have nontrivial topological properties, including the nonzero Chern number and the gapless edge states. We derive an effective tight-binding model to describe the topological midgap states and then study the mid-gap states by the effective tight-binding model. The results can be straightforwardly generalized to other two dimensional topological insulators with flux-superlattice.
6 pages, 9 figures
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