Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants ${\ensuremath{\nu}}_{E}$ and ${\ensuremath{\nu}}_{\mathrm{tot}}$, associated with complex energy vorticity and summation of Berry phases of complex bands, respectively. In the absence of chiral symmetry, we find that the phase diagram determined by …