Geometric Control Over the Motion of Magnetic Domain Walls

TL;DR

This paper introduces a geometric control method for magnetic domain walls that depends on the path in parameter space rather than the rate of change, enabling precise manipulation of magnetic patterns.

Contribution

It presents a novel geometric control approach for magnetic domain walls that is independent of motion rate and discusses potential experimental implementations.

Findings

Domain walls can be translated by rotating the magnetic easy axis.

Magnetic field pulses transverse to the easy axis can move domain walls.

The control method relies solely on the path in parameter space, not on the speed of traversal.

Abstract

We propose a method, which enables precise control of magnetic patterns, relying only on the fundamental properties of the wire and the choice of the path in the controlled parameter space but not on the rate of motion along this path. Possible experimental realizations of this mechanism are discussed. In particular, we show that the domain walls in magnetic nanowires can be translated by rotation of the magnetic easy axis, or by applying pulses of magnetic field directed transverse to the magnetic easy axis.