Coarse geometric approach to topological phases: Invariants from real-space representations

URN to cite this document:: urn:nbn:de:bvb:355-epub-765907
DOI to cite this document:: 10.5283/epub.76590

Setescak, Christoph Stephen

; Lewenkopf, Caio

; Ludewig, Matthias

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 17 Apr 2025 11:31

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Abstract

We show that topological phases include disordered materials if the underlying invariant is interpreted as originating from coarse geometry. This coarse geometric framework, grounded in physical principles, offers a natural setting for the bulk-boundary correspondence, reproduces physical knowledge, and leads to an efficient and tractable numerical approach for calculating invariants. As a ...