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Topological indices in condensed matter

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arxiv 2403.18948 v1 pith:NC6VPC4D submitted 2024-03-27 math-ph math.MP

Hermann Schulz-Baldes This is my paper · ORCID
classification math-phmath.MP
keywords indicestopologicalbulk-boundarycomposedcondensedcontributioncorrespondencecovers
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This contribution describes the mathematical theory of topological indices in solid state systems composed of non-interacting Fermions. In particular, this covers the spectral localizer and the bulk-boundary correspondence.

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Cited by 1 Pith paper

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  1. One-Particle Density Matrix Framework for Mode-Shell Correspondence: Characterizing Topology in Amorphous Higher-Order Topological Insulators

    cond-mat.mes-hall 2025-09 conditional novelty 5.0 of 10

    A density-matrix version of the mode-shell correspondence provides a real-space topological index for higher-order insulators, including amorphous and gapped interacting states.

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