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Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues (2403.18942v2)
Published 27 Mar 2024 in math-ph, cond-mat.dis-nn, and math.MP
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.
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