Effective Interactions in a Graphene Layer Induced by the Proximity to a Ferromagnet

TL;DR

This paper investigates how a ferromagnetic insulator influences graphene's electronic properties, revealing various induced magnetic and spin-orbit interactions that depend on magnetization orientation, leading to diverse phases and Hall effects.

Contribution

It introduces a comprehensive analysis of proximity-induced couplings in graphene, including magnetic orbital and spin-orbit interactions, considering different magnetization orientations.

Findings

Multiple proximity-induced couplings are of similar magnitude.

Magnetization orientation significantly affects the induced interactions.

Various electronic phases and anomalous Hall regimes are possible.

Abstract

The proximity-induced couplings in graphene due to the vicinity of a ferromagnetic insulator are analyzed. We combine general symmetry principles and simple tight-binding descriptions to consider different orientations of the magnetization. We find that, in addition to a simple exchange field, a number of other terms arise. Some of these terms act as magnetic orbital couplings, and others are proximity-induced spin-orbit interactions. The couplings are of similar order of magnitude, and depend on the orientation of the magnetization. A variety of phases, and anomalous Hall effect regimes, are possible.