Correlation effects on non-Hermitian topological classifications

Extensive studies in these years have discovered a variety of exotic phenomena for non-Hermitian systems[1-4] such as the emergence of exceptional points[5] and skin effects[6]. So far, most of the works have focused on non-interacting systems. However, recent the development of technology allows to fabricate non-Hermitian correlated systems for cold atoms[7], which poses the following question: correlation effects on non-Hermitian topology.

In this paper, we address this issue with particular emphasis on the classification of non-Hermitian point-gap topology in zero- and one dimension. Our analysis elucidates that correlations results in the reduction of topological classifications[8,9].