  Our proposed spin valve prototype showcases a sophisticated design featuring
a two-dimensional graphene bilayer positioned between layers of ${CrBr}_3$
ferromagnetic insulators. In this model, proximity coupling plays a pivotal
role, influencing the magnetization orientations of the graphene layers and
significantly impacting the \textit{in-plane} conductivity of the ${CrBr}_3$
layers. In this present work, we position the graphene bilayer between two
layers of the ferromagnetic insulator ${CrBr}_3$ to establish this
configuration. Using density functional theory, we conduct detailed
computations to analyze the electronic structure of this sandwiched system. Our
findings reveal a notable finite gap at specific \textit{k}-points,
particularly evident in the antiparallel configuration of the magnetizations.
This finding represents a significant advancement in spintronics, underscoring
the potential of our spin valve prototype to drive innovation in electronic
device technologies.
