Ken-Ichiro Imura

Graduate School of Advanced Scinences of Matter
Hiroshima University
Japan

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-hermitian regime. 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 100, 165430 (2019).