Sensing graphene density-of-states using a high-impedance resonator*

High-impedance superconducting resonators are important tools for quantum information and quantum sensing, as their resilience to magnetic fields and their highly concentrated local electric fields allow for strong coupling to small defects.
We propose to use this technique to study condensed-matter systems, and particularly the properties of graphene in the quantum Hall regime. In the dispersive regime, a change in the density-of-states of graphene will affect the resonator mode, allowing for RF detection.
We will present a design of titanium nitride resonators, optimized for high electric and magnetic coupling, resilient to in-plane magnetic field up to several Tesla. In addition, we will discuss the hybrid devices combining such resonators with a graphene-hBN stack.