title: Nonlinear anomalous Hall effect and negative magnetoresistance in a system with random Rashba field.
abstract: We predict two spin-dependent transport phenomena in two-dimensional electron systems, which are induced by a spatially fluctuating Rashba spin-orbit interaction. When the electron gas is magnetized, the random Rashba interaction leads to the anomalous Hall effect. An example of such a system is a narrow-gap magnetic semiconductor-based symmetric quantum well. We show that the anomalous Hall conductivity reveals a strongly nonlinear dependence on the magnetization, decreasing exponentially at large spin density. We also show that electron scattering from a fluctuating Rashba field in a two-dimensional nonmagnetic electron system leads to a negative magnetoresistance arising solely due to spin-dependent effects.
authors.affiliation: Department of Physics, Rzeszów University of Technology, al. Powstańców Warszawy 6, 35-959 Rzeszów, Poland.
authors.forename: V K
authors.initials: VK
authors.lastname: Dugaev
authors.forename: M
authors.initials: M
authors.lastname: Inglot
authors.forename: E Ya
authors.initials: EY
authors.lastname: Sherman
authors.forename: J
authors.initials: J
authors.lastname: Berakdar
authors.forename: J
authors.initials: J
authors.lastname: Barnaś