Boundary-Driven Twist States in Systems with Broken Spatial Inversion Symmetry

Abstract

A full description of a magnetic sample includes a correct treatment of the boundary conditions (BCs). This is in particular important in thin film systems, where even bulk properties might be modified by the properties of the boundary of the sample. We study generic ferromagnets with broken spatial inversion symmetry and derive the general micromagnetic BCs of a system with Dzyaloshinskii-Moriya interaction (DMI). We demonstrate that the BCs require the full tensorial structure of the third-rank DMI tensor and not just the antisymmetric part, which is usually taken into account. Specifically, we study systems with $C_{\infty v}$ symmetry and explore the consequences of the DMI. Interestingly, we find that the DMI already in the simplest case of a ferromagnetic thin-film leads to a purely boundary-driven magnetic twist state at the edges of the sample. The twist state represents a new type of DMI-induced spin structure, which is completely independent of the internal DMI field. We estimate the size of the texture-induced magnetoresistance effect being in the range of that of domain walls.

7 pages, 1 figure; added references, added updated affiliation

References in corpus (9)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
• Three-dimensional skyrmion states in thin films of cubic helimagnets
• Surface twist instabilities and skyrmion states in chiral ferromagnets
• Magnonic Charge Pumping via Spin-Orbit Coupling
• Spin motive force induced by Rashba interaction in the strong sd coupling regime
• Spin-Motive Forces and Current-Induced Torques in Ferromagnets
• Spin flexoelectricity and chiral spin structures in magnetic films

Cited by in corpus (5)

• Elusive Dzyaloshinskii-Moriya interaction in Fe${}_3$GeTe${}_2$ monolayer
• Twists in Ferromagnetic Monolayers With Trigonal Prismatic Symmetry
• Light-induced Dzyaloshinskii-Moriya interactions in antiferromagnetic metals
• Boundary conditions for the Néel order parameter in a chiral antiferromagnetic slab
• Releasing latent chirality in magnetic two-dimensional materials