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001     1021987
005     20250204113758.0
024 7 _ |a 10.1103/PhysRevResearch.6.013102
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100 1 _ |a Lux, Fabian
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245 _ _ |a Unified topological characterization of electronic states in spin textures from noncommutative K -theory
260 _ _ |a College Park, MD
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500 _ _ |a We acknowledge funding under SPP 2137 Skyrmionics (Project No. MO 1731/7-1).
520 _ _ |a 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.
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536 _ _ |a DFG project 403503586 - Bewegliche magnetische Skyrmionen in ultra-dünnen Filmen auf Supraleitern für konfigurierbare Majorana Zustände (403503586)
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700 1 _ |a Ghosh, Sumit
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700 1 _ |a Prass, Pascal
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700 1 _ |a Prodan, Emil
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700 1 _ |a Mokrousov, Yuriy
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773 _ _ |a 10.1103/PhysRevResearch.6.013102
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910 1 _ |a Institute of Physics, Johannes Gutenberg University Mainz, 55099 Mainz, Germany
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910 1 _ |a Institute of Physics, Johannes Gutenberg University Mainz, 55099 Mainz, Germany
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910 1 _ |a Department of Physics, Yeshiva University, New York, New York 10016, USA
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