The restoring Casimir force between doped silicon slab and metamaterials

Casimir effect is an observable macroscopic quantum effect. It has significant influence on micro-machine and nano-machine. Based on a generalization of the Lifshitz theory, we calculate Casimir force between the doped silicon slab and metamaterials. From simulating, we can see that the magnitude and the direction of the Casimir force can be changed by varying doping level, the thickness of doped silicon slab, and filling factor of metamaterials. Thus the force can be controlled by tuning these parameters. It can be restoring force in a certain range of distance, which can provide a method to deal with the stability problem, and bring much meaningful results from the practical views.