Casimir interaction with black phosphorus sheets

We calculate the Casimir interaction between isotropic plates (gold or graphene) and black phosphorus (BP) sheets with Lifshitz theory. It is found that the Casimir force with BP sheets is of the order of alpha times the perfect metal limit, and alpha is the fine structure constant. Strong anisotropy of the BP conductivity gives rise to a difference in the Casimir force contribution between the two principal axis. Furthermore, increasing the doping concentration both in BP sheets and graphene sheets can enhance the Casimir force. Moreover, introducing substrate and increased temperature can also enhance the Casimir force, by this way we reveal that the Casimir interaction can be doubled. The controllable Casimir force opens a new avenue for designing next generation devices in micro- and nano-electromechanical systems.

Automated summary

In this study, the Casimir interaction between isotropic plates (made of gold or graphene) and black phosphorus (BP) sheets was calculated using Lifshitz theory. It was observed that the Casimir force with BP sheets is alpha times larger than the perfect metal limit, with alpha representing the fine structure constant. The strong anisotropy of BP conductivity leads to a difference in the Casimir force contribution between the two principal axes. Increasing the doping concentration in both BP and graphene sheets enhances the Casimir force. Additionally, introducing a substrate and raising the temperature can double the Casimir force, revealing new possibilities for designing next-generation devices in micro- and nano-electromechanical systems.