One-dimensional non-Hermitian band structures as Riemann surfaces
One-dimensional non-Hermitian band structures as Riemann surfaces
We present the viewpoint of treating one-dimensional band structures as Riemann surfaces, linking the unique properties of non-Hermiticity to the geometry and topology of the Riemann surface.Branch cuts and branch points play a significant role when this viewpoint is applied to both the openboundary spectrum and the braiding structure.An open-boundary …