Work

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

Year: 2025

Type: article

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 showcase, we give a detailed discussion of the framework for three-dimensional systems with time-reversal symmetry. We numerically reproduce the known disorder-free phase diagram of a tunable, effective tight-binding model and analyze the evolution of the topological phase under disorder.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.111.104207

Authors: Christoph S. Setescak, Caio Lewenkopf, Matthias Ludewig

Institutions: University of Regensburg, Universidade Federal do Rio de Janeiro

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Awards: G2668334319, G7198192753