Interaction of a graphene sheet with a ferromagnetic metal plate

Dispersion forces, such as Casimir and van der Waals forces, can have a significant influence on the fabrication, handling, and assembly processes as well as the performance of micro- and nanodevices. In this paper, we investigate the Casimir force between a graphene sheet and a ferromagnetic metallic substrate in vacuum. The reflection coefficients, entering the expression for the force, are dependent on the graphene conductivity, which is described by the Kubo formalism. It is found that the magnetic response of the ferromagnet plays a significant role at low temperatures or high value of the graphene chemical potential. The numerical results also demonstrate that the thickness of the metallic plate has a minor influence on the Casimir force. This study maybe useful for the design and operation of micro- and nanodevices.