# Intrinsic origin of interfacial second-order magnetic anisotropy in ferromagnet/normal metal heterostructures

## TL;DR

This paper investigates the origin of second-order magnetic anisotropy (K2) in ferromagnet/normal metal heterostructures, revealing its dependence on work-function differences and inversion asymmetry, which is crucial for stabilizing the easy-cone magnetic state.

## Contribution

It experimentally demonstrates that K2 scales with work-function difference, highlighting the intrinsic role of inversion asymmetry in magnetic anisotropy.

## Key findings

- K2 scales linearly with work-function difference.
- Inversion asymmetry is central to K2 origin.
- Guidelines for enhancing K2 in heterostructures.

## Abstract

Interfacial perpendicular magnetic anisotropy, which is characterized by the first-order (K1) and second-order (K2) anisotropies, is the core phenomenon for nonvolatile magnetic devices. A sizable K2 satisfying a specific condition stabilizes the easy-cone state, where equilibrium magnetization forms at an angle from the film normal. The easy-cone state offers intriguing possibilities for advanced spintronic devices and unique spin textures, such as spin superfluids and easy-cone domain walls. Experimental realization of the easy-cone state requires understanding the origin of K2, thereby enhancing K2. However, previously proposed origins of K2 cannot fully account for experimental results. Here we show experimentally that K2 scales almost linearly with the work-function difference between the Co and X layers in Pt/Co/X heterostructures (X = Pd, Cu, Pt, Mo, Ru, W, and Ta), suggesting the central role of the inversion asymmetry in K2. Our result provides a guideline for enhancing K2 and realizing magnetic applications based on the easy-cone state.

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Source: https://tomesphere.com/paper/1906.08450