This title appears in the Scientific Report :
2024
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevResearch.6.013102 in citations.
Please use the identifier: http://dx.doi.org/10.34734/FZJ-2024-01126 in citations.
Unified topological characterization of electronic states in spin textures from noncommutative K -theory
Unified topological characterization of electronic states in spin textures from noncommutative K -theory
The nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological spectral gaps in spin systems based on the methods of noncommutative K-theory. By realizing that the structure of the ob...
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Personal Name(s): | Lux, Fabian (Corresponding author) |
---|---|
Ghosh, Sumit / Prass, Pascal / Prodan, Emil / Mokrousov, Yuriy | |
Contributing Institute: |
Quanten-Theorie der Materialien; PGI-1 Quanten-Theorie der Materialien; IAS-1 |
Published in: | Physical review research, 6 (2024) 1, S. 013102 |
Imprint: |
College Park, MD
APS
2024
|
DOI: |
10.1103/PhysRevResearch.6.013102 |
DOI: |
10.34734/FZJ-2024-01126 |
Document Type: |
Journal Article |
Research Program: |
Bewegliche magnetische Skyrmionen in ultra-dünnen Filmen auf Supraleitern für konfigurierbare Majorana Zustände Topological Matter |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.34734/FZJ-2024-01126 in citations.
The nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological spectral gaps in spin systems based on the methods of noncommutative K-theory. By realizing that the structure of the observable algebra of spin textures is determined by the algebraic properties of the noncommutative torus, we arrive at a unified understanding of topological electronic states which we predict to arise in various noncollinear setups. The power of our approach lies in an ability to categorize emergent topological states algebraically without referring to smooth real- orreciprocal-space quantities. This opens a way towards an educated design of topological phases in aperiodic, disordered, or nonsmooth textures of spins and charges containing topological defects. |