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arXiv · 2403.18942

Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues

Lars Koekenbier·Hermann Schulz-Baldes
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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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Lars Koekenbier, Hermann Schulz-Baldes. 2024-03-27. Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues. https://doi.org/10.4171/jst%2F524

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