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I faced a paradox. The topological insulator is robust against a potential that does not breaks the TRS.

But in the original work of Kane-Mele (PRL 95, 146802), the "staggered sublattice potential" that does not breaks the TRS,, makes zigzag ribbon trivial insulator (figure 1 in the PRL).

Is there any explanation?

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# Effect of TRS potential on Topological insulator (QSH)

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