As far as I know, quantum hall effect and quantum spin hall effect has chiral edge state. Chiral edge state is usually closely related with delocalization, since back scattering is forbidden. However, some topological nontrivial state does not have chiral state, such as majorana bound state in topological superconductor.
I am quite interested whether the existance of chiral edge state is determined by bulk topological properity?
Thanks in advance