Generalized bulk-edge correspondence for non-hermitian topological phases

In a recent paper [1] we have established that the idea of bulk-edge correspondence in the hermitian limit can be generalized to non-hermitian topological systems. But strictly speaking, the proof given there was limited to the regime of weak (perturbative) non-hermiticity. Here, we deepen the idea of the generalized bulk-edge correspondence proposed in Ref. [1] and give a more general proof valid also in the non-perturbative non-hermitian regime.

[1] K.-I. Imura, Y. Takane, “Generalized bulk-edge correspondence for non-hermitian topological systems,” Phys. Rev. B, in press; arXiv.1908.09438.