Probing the magnetization of monolayer graphene via microwave spectroscopy

The magnetization of graphene and graphene-related materials has been of long-standing interest. Disorder-free monolayer graphene is theoretically predicted to have a divergent susceptibility at zero temperature and magnetic field. However, this interesting regime has been little explored. Here, we propose a new approach to measure the magnetization based on high-quality-factor microwave resonators, whose resonant frequency is sensitive to small changes in the quantum capacitance of a graphene device coupled to the resonator. In this talk, we will present details of the measurement approach, estimates of the sensitivity, and initial experimental results.