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May 2, 2026SHILAP Revista de lepidopterologíaOpen Access

Explicit equivalence between the spectral localizer and local Chern and winding markers

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Authors

LGLucien Jezequel, Jens H. Bardarson, Adolfo G. Grushin

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Overview

Demonstrates the equivalence of spectral localizer and local Chern markers in topological systems, suggesting a simpler approach for classifying these materials.

Key Points

  • The research aims to explicitly establish the equivalence between spectral localizer and local Chern markers in topological band insulators.
  • Conducted a systematic perturbative expansion based on the parameter kappa of the spectral localizer.
  • Utilized the Clifford algebra of the spectral localizer to derive leading-order terms.
  • Focused on real-space definitions of topological invariants.
  • Successfully demonstrated that local Chern and winding markers emerge as leading terms in the spectral localizer's expansion.
  • Provided a direct connection between real-space and momentum-space topological methods.
  • Developed a more accessible framework for understanding topological invariants in complex materials.

Cite This Study

Lucien Jezequel, Jens H. Bardarson, Adolfo G. Grushin (2026) studied this question.

synapsesocial.com/papers/69f5939871405d493affeb06https://doi.org/10.21468/scipostphys.20.4.118
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