Dipolar coupling and multidomain states in perpendicularly polarized nanostructures

TL;DR

This paper develops an analytical continuum model to study stripe and multidomain states in multilayer systems with perpendicular polarization, revealing how long-range and short-range interactions stabilize various domain configurations.

Contribution

It introduces a general analytical framework applicable to ferromagnetic, ferroelectric, and ferroelastic superlattices, elucidating the stability and phase transitions of multidomain states.

Findings

Stable stripe domain states depend on geometric parameters.

Phase transition lines between different domain configurations are derived.

Application to CoPt/Ru multilayers explains observed multidomain behaviors.

Abstract

Stripe states in multilayer systems with perpendicular polarization are investigated by analytical calculations within a general continuum approach, applicable to ferromagnetic, ferroelectric, or ferroelastic nanoscale superlattices. The competition between the long-range depolarization effect and short-range interlayer couplings can stabilize monodomain states and unusual stripe phase ground states with antiparallel polarization in adjacent layers. Geometric parameters of stable stripe domain states and the phase transitions lines between single domain states, aligned and antialigned stripe states have been derived. The theory is applied to analyze multidomain states and phase transitions in antiferromagnetically coupled multilayers [CoPt]/Ru.