Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues
arXiv:2403.18942 · doi:10.4171/JST/524
Abstract
Transfer matrix techniques are used to provide a new proof of Widom's results on the asymptotic spectral theory of finite block Toeplitz matrices. Furthermore, a rigorous treatment of the skin effect, spectral outliers, the generalized Brillouin zone and the bulk-boundary correspondence in such systems is given. This covers chiral Hamiltonians with topological eigenvalues close to zero, but no line-gap.
version published in Journal of Spectral Theory; numerous misprints corrected and several minor improvement implemented