Journal Article

FZJ-2024-01126

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Unified topological characterization of electronic states in spin textures from noncommutative K -theory

Lux, F. (Corresponding author)FZJ* ; Ghosh, S.FZJ* ; Prass, P. ; Prodan, E. ; Mokrousov, Y.FZJ*

2024
APS College Park, MD

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Please use a persistent id in citations: doi:10.1103/PhysRevResearch.6.013102  doi:10.34734/FZJ-2024-01126

Abstract: 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.

Note: We acknowledge funding under SPP 2137 Skyrmionics (Project No. MO 1731/7-1).

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Contributing Institute(s):

1. Quanten-Theorie der Materialien (PGI-1)
2. Quanten-Theorie der Materialien (IAS-1)

Research Program(s):

1. 5211 - Topological Matter (POF4-521) (POF4-521)
2. DFG project 403503586 - Bewegliche magnetische Skyrmionen in ultra-dünnen Filmen auf Supraleitern für konfigurierbare Majorana Zustände (403503586) (403503586)

Appears in the scientific report 2024

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; DOAJ Seal ; Emerging Sources Citation Index ; SCOPUS ; Web of Science Core Collection

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