A Cantilever Torque Magnetometer for Measuring Hall Conductivity

We propose a cantilever-based torque magnetometer of Corbino-disc patterned samples in magnetic field. Applying a voltage difference across the disc, a magnetic dipole moment is created which will interact with the magnetic field, exerting a torque on the cantilever. A circulating current will flow in the presence of potential difference between the two edges of the disc which is placed at the end of a vibrating cantilever. The induced magnetic dipole moment will interact with the magnetic field, creating a torque. The measured torque yields information about the transverse conductance of the ring - hence $\sigma_{xy}$.