Edge state question for a 2-D material and the quantum hall effect

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Main Question or Discussion Point

I have read some materials about quantum hall effect and know that at the edge of a 2D material , one can linearize the potential V and the linear dispersion relation represents right/left moving fermion. So , Can I say that for a given hamiltonian , if I can linearizae it at edge, then this system has edge state? Thanks!
 

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