  Nanoscale surface forces such as Casimir and the van der Waals forces can
have a significant influence on fabrication, handling and assembly processes as
well as the performance of micro and nano devices. In this paper, the
investigation and the calculation of the Casimir force between a graphene sheet
and a ferromagnetic metal substrate in a vacuum are presented. The reflection
coefficients of graphene are graphene-conductivity dependent, and the
conductivity of graphene is described by the Kubo formalism. There is an effect
of magnetic properties of the metal on the Casimir interaction. The magnetic
effect plays a significant role at low temperatures or high value of chemical
potential. The numerical results also demonstrate that the thickness of a metal
slab has a minor influence on the Casimir force. The investigation and findings
about the Casimir force in this study would lead to useful information and
effective solutions for design and manufacturing of micro and nano devices,
especially in the areas of micro and nano machining, fabrication, manipulation,
assembly and metrology.
