Indirect Interaction of Magnetic Domain Walls

TL;DR

This paper investigates the electron-mediated exchange interaction between magnetic domain walls in wires, revealing its long-range, oscillatory nature influenced by distance and polarization angle, with potential control via electric current.

Contribution

It provides a theoretical calculation of the exchange interaction between domain walls, highlighting its oscillatory behavior and dependence on polarization, which was not previously characterized.

Findings

Interaction is long ranged and oscillates with distance.

Maximum interaction occurs for collinear polarization.

Interaction can be controlled by electric current.

Abstract

We calculate the electron-mediated exchange interaction between two domain walls in magnetic wires. This corresponds to the equilibrium regime and, therefore, the interaction can be additionally controlled by an electric current. The exchange interaction is long ranged and oscillates as a function of the distance between the walls. It also depends oscillatory on the polarization angle of the walls, having the maximum value for collinear polarization.