Non-Hermitian topological band structures with generalized inversion symmetry

Non-Hermitian skin effects and exceptional points can be topologically characterized by integer winding numbers. In this study, we simplify the topological analysis using the winding numbers for non-Hermitian skin effects and exceptional points by using inversion symmetry. We show that parities of the winding numbers can be determined from eigenvalues on the inversion-invariant momenta. The simple expressions for the winding numbers allow us to easily detect skin effects and exceptional points in non-Hermitian band structures.