Magnetic Proximity Coupled Topological Phases in Graphene Sandwiched between Ferromagnetic CrBr$_3$ Insulators

Magnetic proximity coupling is prominent and control the relative magnetization orientations of graphene layers, significantly affecting the \textit{in-plane} conductivity of the CrBr$_3$ layers. This behaviour gievs strong sense of topogolical phases in the magnetic heterostructure. Consistent with the previous model [\textit{Phys. Rev. Lett.} \textbf{121}, 067701 (2018)], a finite gap opens at the \textit{k}-point only in the antiparallel configuration leading to the realization of a feasible device application. Initially, the graphene bilayer has been placed between two ferromagnetic insulators to model the prototype. Details of the electronic structure and topological phenomena of the heterostructure could be realized via density functional theory.