Circuit Quantum electrodynamics with moiré materials

Moiré materials host a rich landscape of correlated insulating and superconducting phases emerging from flat electronic band structures. Integrating these materials into microwave circuits provides a powerful route to probe electrodynamic response and collective charge dynamics across distinct electronic phases as a function of doping. We embed mirror-symmetric twisted trilayer graphene (TTG) between a coplanar waveguide (CPW) resonator and a ground plane, realizing a λ/4 resonator. In the superconducting regime, the kinetic inductance of TTG shifts the resonance frequency, allowing direct extraction of its superfluid stiffness as a function of carrier density—tuned via an electrostatic gate—and temperature. When tuned outside the superconducting phase, the device can behave as a Josephson element in a correlated insulating state, offering a versatile platform to study the interplay between superconductivity and electron-correlation effects. This microwave approach complements transport measurements, revealing the frequency-dependent response of correlated moiré superconductors and enabling future hybrid circuit architectures based on two-dimensional moiré materials.