Chirality-Dependent Transmission of SW through DW

Chirality-Dependent Transmission of Spin Waves through Domain Walls.
F. J. Buijnsters, Y. Ferreiros, A. Fasolino, and M. I. Katsnelson
Phys. Rev. Lett. 116, 147204 (2016)

Effect of the interfacial DMI on the magnetization profile $m\left(x\right)$ of a DW in a thin film with perpendicular anisotropy. (a) Away from the DW, magnetization points out of the film ($\hat{z}$ or $-\hat{z}$). Near the DW, the DMI creates an effective field $H_{\mathrm{DMI}}$ in the $-\hat{x}$ direction. Depending on the competition between the dipolar and DMI interactions, the equilibrium configurations circle, circle prime, star, star prime, and square, shown in (b)–(d), are possible. (b) Without DMI, the minimum-energy configurations (flux closure) are two equivalent Bloch DWs (circle, in dark colors, and circle prime, in light colors), whose in-plane orientations differ by 180°. (c) For intermediate DMI, the minimum-energy configurations are intermediate between Bloch and Néel. There are two equivalent minimum-energy states (star and star prime), whose in-plane orientations differ by approximately 90° for an appropriately tuned DMI strength $D$. (d) For strong DMI, a single minimum-energy configuration (square) exists: a Néel DW with magnetization in the center pointing in the $-\hat{x}$ direction.