{ "id": "1806.06833", "version": "v1", "published": "2018-06-18T17:22:35.000Z", "updated": "2018-06-18T17:22:35.000Z", "title": "Impurity-induced vector spin chirality and anomalous Hall effect in ferromagnetic metals", "authors": [ "Hiroaki Ishizuka", "Naoto Nagaosa" ], "comment": "15 pages, 3 figures", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "Scattering by multiple scatterers sometimes gives rise to nontrivial consequences such as anomalous Hall effect. We here study a mechanism for anomalous Hall effect which originates from the correlation of nonmagnetic impurities and localized moments; a Hall effect induced by vector spin chirality. Using a scattering theory approach, we study the skew scattering induced by the scattering processes that involve two magnetic moments and a non-magnetic impurity, which is proportional to the vector spin chirality of the spins in the vicinity of the non-magnetic impurity. Furthermore, we show that a finite vector spin chirality naturally exists around an impurity in the usual ferromagnetic metals at finite temperature due to the local inversion-symmetry breaking by the impurity. The result is potentially relevant to magnetic oxides which the anomalous Hall effect is enhanced at finite temperatures.", "revisions": [ { "version": "v1", "updated": "2018-06-18T17:22:35.000Z" } ], "analyses": { "keywords": [ "anomalous hall effect", "impurity-induced vector spin chirality", "finite temperature", "finite vector spin chirality", "non-magnetic impurity" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }