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For non-trivial topological insulators, are the edge states only zero energy states? Or are boundary states of different energies also available?

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  • $\begingroup$ Generally speaking zero-energy states exist on defects (i.e. domain walls, vortices, monopoles, ...). A very general classification has been worked out arxiv.org/abs/1006.0690. $\endgroup$ – Meng Cheng May 21 '15 at 5:30
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In principle there is no reason they should be only at zero energy. The following picture is from the review of Hasan and Kane: As you can see, the black curve denotes the edge spectrum, which exists across the band gap of the bulk. enter image description here

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