Spectral localizer for line-gapped non-Hermitian systems

Cerjan A, Koekenbier L, Schulz-Baldes H (2023)

Publication Type: Journal article

Publication year: 2023


Book Volume: 64

Article Number: 082102

Journal Issue: 8

DOI: 10.1063/5.0150995


Short-ranged and line-gapped non-Hermitian Hamiltonians have strong topological invariants given by an index of an associated Fredholm operator. It is shown how these invariants can be accessed via the signature of a suitable spectral localizer. This numerical technique is implemented in an example with relevance to the design of topological photonic systems, such as topological lasers.

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Cerjan, A., Koekenbier, L., & Schulz-Baldes, H. (2023). Spectral localizer for line-gapped non-Hermitian systems. Journal of Mathematical Physics, 64(8). https://doi.org/10.1063/5.0150995


Cerjan, Alexander, Lars Koekenbier, and Hermann Schulz-Baldes. "Spectral localizer for line-gapped non-Hermitian systems." Journal of Mathematical Physics 64.8 (2023).

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