Tuning kinetic inductance in magic angle twisted trilayer graphene superconductors

Magic angle twisted graphene heterostructures host superconducting phases in flat-bands. Electrostatic tunability of the chemical potential, the bandwidth and thus the superconducting phase makes this an ideal platform for investigating key properties of the superconducting phase. We study the kinetic inductance of the superconducting phase of magic angle twisted trilayer graphene by integrating it as a weak link of a superconducting quantum interference device (SQUID). We extract large kinetic inductance values up to 150nH per square which is electrostatically tunable by nearly two orders of magnitude. We also show a universal scaling between the specific kinetic inductance and the critical current density via the coherence length, for which we obtain an upper bound of 200nm. We explore the applicability of this gate-tunable superconductor in superconducting circuit architectures.