Spectral localizer for line-gapped non-Hermitian systems

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

Publication Type: Journal article

Publication year: 2023

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

Book Volume: 64

Article Number: 082102

Journal Issue: 8

DOI: 10.1063/5.0150995

Abstract

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.

Authors with CRIS profile

Lars Koekenbier Professur für Mathematik (Mathematische Physik) Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

How to cite

APA:

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

MLA:

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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