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@ARTICLE{Lux:889162,
      author       = {Lux, Fabian and Freimuth, Frank and Blügel, Stefan and
                      Mokrousov, Yuriy},
      title        = {{C}hiral {H}all {E}ffect in {N}oncollinear {M}agnets from a
                      {C}yclic {C}ohomology {A}pproach},
      journal      = {Physical review letters},
      volume       = {124},
      number       = {9},
      issn         = {1079-7114},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2021-00085},
      pages        = {096602},
      year         = {2020},
      abstract     = {We demonstrate the emergence of an anomalous Hall effect in
                      chiral magnetic textures which is neither proportional to
                      the net magnetization nor to the well-known emergent
                      magnetic field that is responsible for the topological Hall
                      effect. Instead, it appears already at linear order in the
                      gradients of the magnetization texture and exists for
                      one-dimensional magnetic textures such as domain walls and
                      spin spirals. It receives a natural interpretation in the
                      language of Alain Connes’ noncommutative geometry. We show
                      that this chiral Hall effect resembles the familiar
                      topological Hall effect in essential properties while its
                      phenomenology is distinctly different. Our findings make the
                      reinterpretation of experimental data necessary, and offer
                      an exciting twist in engineering the electrical transport
                      through magnetic skyrmions.},
      cin          = {PGI-1 / IAS-1 / JARA-FIT / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-1-20110106 / I:(DE-Juel1)IAS-1-20090406 /
                      $I:(DE-82)080009_20140620$ / $I:(DE-82)080012_20140620$},
      pnm          = {5211 - Topological Matter (POF4-521)},
      pid          = {G:(DE-HGF)POF4-5211},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {32202897},
      UT           = {WOS:000517970700003},
      doi          = {10.1103/PhysRevLett.124.096602},
      url          = {https://juser.fz-juelich.de/record/889162},
}