# Transverse Transport in Two-Dimensional Relativistic Systems with Nontrivial Spin Textures.

@article{Bouaziz2021TransverseTI, title={Transverse Transport in Two-Dimensional Relativistic Systems with Nontrivial Spin Textures.}, author={Juba Bouaziz and Hiroshi Ishida and Samir Lounis and Stefan Bl{\"u}gel}, journal={Physical review letters}, year={2021}, volume={126 14}, pages={ 147203 } }

Using multiple scattering theory, we show that the generally accepted expression of transverse resistivity in magnetic systems that host skyrmions, given by the linear superposition of the ordinary, the anomalous, and the topological Hall effect, is incomplete and must be amended by an additional term, the "noncollinear" Hall effect (NHE). Its angular form is determined by the magnetic texture, the spin-orbit field of the electrons, and the underlying crystal structure, allowing us to…

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