% IMPORTANT: The following is UTF-8 encoded.  This means that in the presence
% of non-ASCII characters, it will not work with BibTeX 0.99 or older.
% Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or
% “biber”.

@ARTICLE{Lux:1021987,
      author       = {Lux, Fabian and Ghosh, Sumit and Prass, Pascal and Prodan,
                      Emil and Mokrousov, Yuriy},
      title        = {{U}nified topological characterization of electronic states
                      in spin textures from noncommutative {K} -theory},
      journal      = {Physical review research},
      volume       = {6},
      number       = {1},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2024-01126},
      pages        = {013102},
      year         = {2024},
      note         = {We acknowledge funding under SPP 2137 Skyrmionics (Project
                      No. MO 1731/7-1).},
      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.},
      cin          = {PGI-1 / IAS-1},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-1-20110106 / I:(DE-Juel1)IAS-1-20090406},
      pnm          = {5211 - Topological Matter (POF4-521) / DFG project
                      403503586 - Bewegliche magnetische Skyrmionen in
                      ultra-dünnen Filmen auf Supraleitern für konfigurierbare
                      Majorana Zustände (403503586)},
      pid          = {G:(DE-HGF)POF4-5211 / G:(GEPRIS)403503586},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001158360200006},
      doi          = {10.1103/PhysRevResearch.6.013102},
      url          = {https://juser.fz-juelich.de/record/1021987},
}