# Twists in Ferromagnetic Monolayers With Trigonal Prismatic Symmetry

## TL;DR

This paper develops a phenomenological model for 2D ferromagnetic monolayers with trigonal prismatic symmetry, revealing unique boundary effects and electrical control of helical magnetic states without internal Dzyaloshinskii-Moriya interaction.

## Contribution

It shows that trigonal prismatic 2D ferromagnets lack internal DMI but exhibit boundary-induced helices and electrical tunability of magnetic structures.

## Key findings

- Boundary DMI modifies magnetization boundary conditions.
- Helical states are electrically controllable.
- No internal DMI in these monolayers.

## Abstract

Two-dimensional materials such as graphene or hexagonal boron nitride are indispensable in industry. The recently discovered 2D ferromagnetic materials also promise to be vital for applications. In this work, we develop a phenomenological description of non-centrosymmetric 2D ferromagnets with trigonal prismatic crystal structure. We chose to study this special symmetry group since these materials do break inversion symmetry and therefore, in principle, allow for chiral spin structures such as magnetic helices and skyrmions. However, unlike all non-centrosymmetric magnets known so far, we show that the symmetry of magnetic trigonal prismatic monolayers neither allow for an internal relativistic Dzyaloshinskii-Moriya interaction (DMI) nor a reactive spin-orbit torque. We demonstrate that the DMI only becomes important at the boundaries, where it modifies the boundary conditions of the magnetization and leads to a helical equilibrium state with a helical wavevector that is inherently linked to the internal spin orientation. Furthermore, we find that the helical wavevector can be electrically manipulated via dissipative spin-torque mechanisms. Our results reveal that 2D magnets offer a large potential for unexplored magnetic effects.