Intrinsic chiral field as vector potential of the magnetic current in the zig-zag lattice of magnetic dipoles

TL;DR

This paper investigates a zig-zag dipolar lattice as a model for chiral magnetic insulators, revealing how the Dzyaloshinskii-Moriya interaction acts as a vector potential, leading to emergent fields and chiral textures.

Contribution

It demonstrates that the antisymmetric dipolar coupling in a zig-zag lattice creates a Dzyaloshinskii-Moriya field acting as a vector potential, enabling control of chiral magnetic textures.

Findings

Dzyaloshinskii-Moriya interaction stabilizes chiral solitons.

The antisymmetric dipolar energy separates into symmetric and antisymmetric parts.

Emergent magnetic and electric fields enable magnetoelectric effects.

Abstract

Chiral magnetic insulators manifest novel phases of matter where the sense of rotation of the magnetization is associated with exotic transport phenomena. Effective control of such phases and their dynamical evolution points to the search and study of chiral fields like the Dzyaloshinskii-Moriya interaction. Here we combine experiments, numerics, and theory to study a zig-zag dipolar lattice as a model of an interface between magnetic in-plane layers with perpendicular magnetization. The zig-zag lattice comprises two parallel sublattices of dipoles with perpendicular easy plane of rotation. The dipolar energy of the system is exactly separable into a sum of symmetric and antisymmetric long-range exchange interactions between dipoles, where the antisymmetric coupling generates a nonlocal Dzyaloshinskii-Moriya field which stabilizes winding textures with the form of chiral solitons. The Dzyaloshinskii-Moriya interaction acts as a vector potential or gauge field of the magnetic current and gives rise to emergent magnetic and electric fields that allow the manifestation of the magnetoelectric effect in the system.