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Spectral localizer for line-gapped non-Hermitian systems

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/5.0150995· OSTI ID:2311588
 [1];  [2];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Integrated Nanotechnologies
  2. Friedrich-Alexander University Erlangen-Nuremberg (Germany)
+ Show Author Affiliations

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. Here, this numerical technique is implemented in an example with relevance to the design of topological photonic systems, such as topological lasers.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
NA0003525
OSTI ID:
2311588
Report Number(s):
SAND--2023-07660J
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 64; ISSN 0022-2488
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (20)

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Callias-type operators associated to spectral triples journal April 2023

Figures / Tables (1)

Figure 1(p. 6)figure Figure 1

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Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Heterostructures
Operator theory
Photonic systems
Topological invariant