AG Mathematische Physik, Lars Koekenbier (FAU): Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues

Lars Koekenbier (FAU)

Transfer matrix analysis of non-hermitian Hamiltonians:

asymptotic spectra and topological eigenvalues

Abstract:
Transfer matrix techniques are used to provide a new proof of Widom’s
results on

the asymptotic spectral theory of  nite block Toeplitz matrices.
Furthermore, a rigorous

treatment of the skin e ect, spectral outliers, the generalized
Brillouin zone and the bulkboundary

correspondence in such systems is given. This covers chiral Hamiltonians
with

topological eigenvalues close to zero, but no line-gap.