Enhancement of the Gilbert damping constant due to spin pumping in noncollinear ferromagnet/nonmagnet/ferromagnet trilayer systems

TL;DR

This paper investigates how spin pumping enhances the Gilbert damping constant in noncollinear ferromagnet/non-magnet/ferromagnet trilayer systems, revealing dependencies on magnetization angles and conditions for strong damping enhancement.

Contribution

It provides a theoretical analysis of the dependence of Gilbert damping enhancement on magnetization angles in noncollinear trilayer systems, identifying conditions for maximizing damping.

Findings

Gilbert damping depends on precession angle and fixed layer magnetization direction.

Conditions for strong damping enhancement are identified.

Analysis aids in designing magnetic devices with controlled damping.

Abstract

We analyzed the enhancement of the Gilbert damping constant due to spin pumping in non-collinear ferromagnet / non-magnet / ferromagnet trilayer systems. We show that the Gilbert damping constant depends both on the precession angle of the magnetization of the free layer and on the direction of the magntization of the fixed layer. We find the condition to be satisfied to realize strong enhancement of the Gilbert damping constant.