Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929529020219392 |
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| author | Koekenbier, Lars Schulz-Baldes, Hermann |
| author_facet | Koekenbier, Lars Schulz-Baldes, Hermann |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18942 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues Koekenbier, Lars Schulz-Baldes, Hermann Mathematical Physics Disordered Systems and Neural Networks 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. |
| title | Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues |
| topic | Mathematical Physics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2403.18942 |