Dynamic and fluctuation properties of a graphene disk levitated by a diamagnetic force in air

A graphene disk can be levitated above a magnet by a repulsive force arising from their diamagnetic interaction if the product of the magnetic field and its gradient is sufficiently large. The diamagnetic force also causes the rotation of the graphene disk because of the strong anisotropy of the magnetic permeability of graphene; thus a motion of centroid and rotation are considered by solving simultaneous Langevin equations. Furthermore, the dependence of a fluctuations of the position and angle of the levitated graphene disk on the size and temperature is also explained.

Automated summary

This study discovers that a graphene disk can be levitated above a magnet by a repulsive force generated from their diamagnetic interaction. The rotation of the graphene disk is also caused by the strong anisotropy of the magnetic permeability of graphene. The study further explains the dependence of the fluctuations of the position and angle of the levitated graphene disk on its size and temperature.