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August 10, 2026ESAIM Mathematical Modelling and Numerical AnalysisOpen Access

Detecting local topology with the spectral localizer

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Authors

ACAlexander CerjanHSHermann Schulz‐Baldes

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Overview

Randomized trial shows improvements in topological predictions with a new spectral localizer framework, suggesting better applications in complex materials.

Key Points

  • The study aims to enhance the computation of topological invariants using a framework called the spectral localizer.
  • Improved the criterion for the validity of the spectral localizer framework.
  • Defined a local spectral gap of the Hamiltonian as the main requirement.
  • Enhanced the numerical constant in tapering estimates for the spectral localizer.
  • The improvements allow for more precise predictions in aperiodic and disordered systems.
  • Strengthened bounds on the spectral flow across topological phase boundaries.

Cite This Study

Cerjan et al. (2026) studied this question.

synapsesocial.com/papers/6a797ce09c20a9bbd3183e5fhttps://doi.org/10.1051/m2an/2026066
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