A cantilever torque magnetometry method for the measurement of Hall conductivity of highly resistive samples

Abstract

We present the first measurements of Hall conductivity utilizing a torque magnetometry method. A Corbino disk exhibits a magnetic dipole moment proportional to Hall conductivity when voltage is applied across a test material. This magnetic dipole moment can be measured through torque magnetometry. The symmetry of this contactless technique allows for the measurement of Hall conductivity in previously inaccessible materials. Finally, we calculate a low-temperature noise bound, demonstrate the lack of systematic errors, and measure the Hall conductivity of sputtered indium tin oxide.