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001021987 1001_ $$0P:(DE-Juel1)169506$$aLux, Fabian$$b0$$eCorresponding author
001021987 245__ $$aUnified topological characterization of electronic states in spin textures from noncommutative K -theory
001021987 260__ $$aCollege Park, MD$$bAPS$$c2024
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001021987 500__ $$aWe acknowledge funding under SPP 2137 Skyrmionics (Project No. MO 1731/7-1).
001021987 520__ $$aThe 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.
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001021987 536__ $$0G:(GEPRIS)403503586$$aDFG project 403503586 - Bewegliche magnetische Skyrmionen in ultra-dünnen Filmen auf Supraleitern für konfigurierbare Majorana Zustände (403503586)$$c403503586$$x1
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001021987 7001_ $$0P:(DE-Juel1)180392$$aGhosh, Sumit$$b1
001021987 7001_ $$0P:(DE-HGF)0$$aPrass, Pascal$$b2
001021987 7001_ $$0P:(DE-HGF)0$$aProdan, Emil$$b3
001021987 7001_ $$0P:(DE-Juel1)130848$$aMokrousov, Yuriy$$b4$$ufzj
001021987 773__ $$0PERI:(DE-600)3004165-X$$a10.1103/PhysRevResearch.6.013102$$gVol. 6, no. 1, p. 013102$$n1$$p013102$$tPhysical review research$$v6$$x2643-1564$$y2024
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001021987 9101_ $$0I:(DE-HGF)0$$6P:(DE-HGF)0$$a Department of Physics, Yeshiva University, New York, New York 10016, USA$$b3
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