Levitation Force Between Monolayer of Magnetic Particles and Superconducting Plane in Meissner State

We have calculated the levitation force and the interaction energy between a thin monolayer of super-paramagnetic fine ferromagnetic particles system and a large flat superconductor in the Meissner state. Both energy and force depend on the temperature and the levitation height of the monolayer. Our results show that the interaction energy and the levitation force increases as the temperature of the momolayer increases. In the limit of zero Kelvin temperature, we found that our results for the levitation force goes over to the case where all the moments of the fine-particle system are parallel to the superconductor surface, which has the lowest interaction energy.