Effect of Disorder on Spin Transport in Topological Non-Trivial Magnetic Textures
An eﬀect that is observed when an electron passes through a non-collinear magnetic textures such as skyrmion, the electron gets deviated as a result of the ﬁctitious magnetic ﬁeld generated by the skyrmion giving rise to Topological (spin) Hall eﬀect. our interest is on the eﬀect of disorder (magnetic and non-magnetic) on transport of non-trivial topological textures. In these work we carry out a thorough study of the topological Hall and topological spin Hall eﬀects and test the robustness and eﬃciency of these topological signals against disorder for a wide range of regime; from weak to strong exchange. We also model the eﬀect of both magnetic and non-magnetic impurity and observe some subtle dependence on the disorder strength for weak exchange.