Effect of interface on magnetic exchange coupling in Co/Ru/Co trilayer: from ab-initio simulations to micromagnetics

TL;DR

This paper demonstrates how to accurately model the magnetic exchange coupling in Co/Ru/Co trilayers by deriving continuum micromagnetic parameters from ab initio and spin dynamics simulations, bridging atomistic and device-level descriptions.

Contribution

It introduces a method to transfer atomistic simulation results into continuum micromagnetic models for layered magnetic structures.

Findings

Interface coupling energies are derived from ab initio calculations.

Continuum models accurately reproduce atomistic simulation results.

Temperature effects are incorporated into the micromagnetic parameters.

Abstract

Interfaces play a substantial role for the functional properties of structured magnetic materials and magnetic multilayers. Modeling the functional behavior of magnetic materials requires the treatment of the relevant phenomena at the device level. Properties predicted from the electronic structure and spin dynamics at the atomistic level have to be properly transferred into a continuum level treatment. In this work we show how Co/Ru/Co three layers can be simulated with the continuum theory of micromagnetism, with interface coupling energies and bulk intrinsic properties properly derived from the results of \emph{ab initio} and spin dynamics simulations at different temperatures.