title: Rashba Torque Driven Domain Wall Motion in Magnetic Helices.
abstract: Manipulation of the domain wall propagation in magnetic wires is a key practical task for a number of devices including racetrack memory and magnetic logic. Recently, curvilinear effects emerged as an efficient mean to impact substantially the statics and dynamics of magnetic textures. Here, we demonstrate that the curvilinear form of the exchange interaction of a magnetic helix results in an effective anisotropy term and Dzyaloshinskii-Moriya interaction with a complete set of Lifshitz invariants for a one-dimensional system. In contrast to their planar counterparts, the geometrically induced modifications of the static magnetic texture of the domain walls in magnetic helices offer unconventional means to control the wall dynamics relying on spin-orbit Rashba torque. The chiral symmetry breaking due to the Dzyaloshinskii-Moriya interaction leads to the opposite directions of the domain wall motion in left- or right-handed helices. Furthermore, for the magnetic helices, the emergent effective anisotropy term and Dzyaloshinskii-Moriya interaction can be attributed to the clear geometrical parameters like curvature and torsion offering intuitive understanding of the complex curvilinear effects in magnetism.
authors.affiliation: Taras Shevchenko National University of Kyiv, 01601 Kyiv, Ukraine.
authors.forename: Oleksandr V
authors.initials: OV
authors.lastname: Pylypovskyi
authors.affiliation: Taras Shevchenko National University of Kyiv, 01601 Kyiv, Ukraine.
authors.forename: Denis D
authors.initials: DD
authors.lastname: Sheka
authors.affiliation: Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine.
authors.forename: Volodymyr P
authors.initials: VP
authors.lastname: Kravchuk
authors.affiliation: Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine.|National University of "Kyiv-Mohyla Academy", 04655 Kyiv, Ukraine.
authors.forename: Kostiantyn V
authors.initials: KV
authors.lastname: Yershov
authors.affiliation: Helmholtz-Zentrum Dresden-Rossendorf e. V., Institute of Ion Beam Physics and Materials Research, 01328 Dresden, Germany.|Institute for Integrative Nanosciences, IFW Dresden, 01069 Dresden, Germany.
authors.forename: Denys
authors.initials: D
authors.lastname: Makarov
authors.affiliation: Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine.
authors.forename: Yuri
authors.initials: Y
authors.lastname: Gaididei