TY  - JOUR
AU  - Lux, Fabian
AU  - Ghosh, Sumit
AU  - Prass, Pascal
AU  - Prodan, Emil
AU  - Mokrousov, Yuriy
TI  - Unified topological characterization of electronic states in spin textures from noncommutative K -theory
JO  - Physical review research
VL  - 6
IS  - 1
SN  - 2643-1564
CY  - College Park, MD
PB  - APS
M1  - FZJ-2024-01126
SP  - 013102
PY  - 2024
N1  - We acknowledge funding under SPP 2137 Skyrmionics (Project No. MO 1731/7-1).
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001158360200006
DO  - DOI:10.1103/PhysRevResearch.6.013102
UR  - https://juser.fz-juelich.de/record/1021987
ER  -